Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Publications of the Doctoral program

[480]Lucia Rossi, Wolfgang Steiner and Jörg Thuswaldner, Rational self-affine tiles associated to standard and nonstandard digit system. (submitted) [bibtex]
[479]Stefan Hammer, Relations of Wiener index and (revised) Szeged index on cacti, and the revised Szeged index as vertex sum. (submitted) [bibtex]
[478]Mickaël Buchet, Bianca Dornelas and Michael Kerber, Sparse Higher Order Čech Filtrations, (2022). (in preparation) [bibtex]
[477]Julian Zalla, High-order substructures in random hypergraphs, PhD thesis, TU Graz, (2022). [bibtex]
[476]Daodao Yang, A note on log-type GCD sums and derivatives of the Riemann zeta function, (2022). (submitted) [bibtex]
[475]Daodao Yang, Extreme values of derivatives of the Riemann zeta function, Mathematika, 68, 486-510, (2022). [bibtex] [doi]
[474]Salvatore Tringali, An abstract factorization theorem and some applications, Journal of Algebra, 602, 352 – 380, (2022). [bibtex] [doi]
[473]Robert Tichy, Ingrid Vukusic, Daodao Yang and Volker Ziegler, On a variant of Pillai's problem with transcendental numbers, Acta Mathematica Hungarica, (2022). [bibtex] [doi]
[472]Panagiotis Spanos, Remarks on random walks on graphs and the Floyd boundary, Arkiv för Matematik, (2022). [bibtex] [url] [doi]
[471]Lucia Rossi and Jörg Thuswaldner, A number system with base $-\frac32$, American Mathematical Monthly, (2022). (to appear) [bibtex]
[470]Phoebe de Nooijer, Soeren Nickel, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler and Günter Rote, Removing Popular Faces in Curve Arrangements by Inserting one more Curve, Chapter in Proc. 38th European Workshop on Computational Geometry (EuroCG), 38:1–38:8, (2022). (extended abstract) [bibtex] [url]
[469]Michael Missethan, Global and Local Properties of Random Planar Graphs, PhD thesis, TU Graz, (2022). [bibtex]
[468]Paolo Minelli, On Diophantine approximation, a conjecture of Ito on Dedekind sums and Poissonian pair correlation of sequences, PhD thesis, TU Graz, (2022). [bibtex]
[467]Paolo Minelli, On small fractional parts of polynomial-like functions, Monatshefte f. Mathematik, 197, 319-332, (2022). [bibtex] [doi]
[466]Gabriel F. Lipnik, Manfred G. Madritsch and Robert F. Tichy, A Central Limit Theorem for Integer Partitions into Small Powers, (2022). (submitted) [bibtex]
[465]Benjamin Klahn, Diversity in rationally parameterized number fields, (2022). (submitted) [bibtex] [pdf]
[464]Benjamin Klahn, A divisor problem for polynomials, Acta Arithmetica, 200(2), 111-118, (2022). [bibtex] [doi]
[463]Mihyun Kang and Michael Missethan, Longest and shortest cycles in random planar graphs, Random Structures Algorithms, 60, 462–505, (2022). [bibtex] [doi]
[462]Wilfried Imrich, Thomas Lachmann, Thomas W. Tucker and Gundelinde M. Wiegel, Finite and infinite vertex-transitive cubic graphs and their distinguishing cost and density, Art Discrete Appl. Math., 5(3), (2022). [bibtex] [pdf] [doi]
[461]Svenja Hüning and Johannes Wallner, Convergence analysis of subdivision processes on the sphere, IMA J. Num. Analysis, 42(1), 698-711, (2022). [bibtex] [doi]
[460]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing locally finite trees, Electronic J. Combinatorics, (2022). (to appear) [bibtex]
[459]Takashi Horiyama, Fabian Klute, Matias Korman, Irene Parada, Ryuhei Uehara and Katsuhisa Yamanaka, Efficient segment folding is hard, Computational Geometry: Theory and Applications, 104(101860), (2022). [bibtex] [doi]
[458]Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, Asymptotic Analysis of $q$-Recursive Sequences, Algorithmica, (2022). (to appear) [bibtex]
[457]Tim A. Hartmann, Stefan Lendl and Gerhard J. Woeginger, Continuous facility location on graphs, Mathematical Programming, Springer, 192, 2017-227, (2022). [bibtex] [doi]
[456]Marc Goerigk, Stefan Lendl and Lasse Wulf, Recoverable Robust Representatives Selection Problems with Discrete Budgeted Uncertainty, European Journal of Operational Research, (2022). (to appear) [bibtex] [doi]
[455]Marc Goerigk, Stefan Lendl and Lasse Wulf, Two-stage robust optimization problems with two-stage uncertainty, European Journal of Operational Research, (2022). [bibtex] [doi]
[454]Alfred Geroldinger, David Grynkiewicz, Jun Seok Oh and Qinghai Zhong, On product-one sequences over dihedral groups, Journal of Algebra and its Applications, 2250064,1–58, (2022). [bibtex] [doi]
[453]Jakob Führer, Filling space with hypercubes of two sizes – the Pythagorean tiling in higher dimensions, Mathematika, (2022). (to appear) [bibtex]
[452]Victor Fadinger and Qinghai Zhong, On product-one sequences over subsets of groups, Periodica Mathematica Hungarica, (2022). (to appear) [bibtex]
[451]Victor Fadinger and Daniel Windisch, On the distribution of prime divisors in class groups of affine monoid algebras, Communications in Algebra, 50(7), 2973 – 2982, (2022). [bibtex] [doi]
[450]Victor Fadinger and Daniel Windisch, On the distribution of prime divisors in Krull monoid algebras, Journal of Pure and Applied Algebra, 22(4), Paper No. 106887, 8 pp, (2022). [bibtex] [doi]
[449]Victor Fadinger and Daniel Windisch, A characterization of weakly Krull monoid algebras, Journal of Algebra, 590, 277 – 292, (2022). [bibtex] [doi]
[448]Victor Fadinger, On Monoid Algebras: Algebraic and Arithmetic Properties, PhD thesis, KFU Graz, (2022). [bibtex] [url]
[447]Victor Fadinger, Sophie Frisch and Daniel Windisch, Integer-valued polynomials on discrete valuation rings of global fields with prescribed lengths of factorizations, (2022). (submitted) [bibtex]
[446]Christian Elsholtz, Benjamin Klahn and Marc Technau, On polynomials with roots modulo almost all primes, (2022). (submitted) [bibtex] [pdf]
[445]Tuan Anh Do, Joshua Erde and Mihyun Kang, A note on the width of sparse random graphs, (2022). (submitted) [bibtex]
[444]Tuan Anh Do, Joshua Erde and Mihyun Kang, Planarity and genus of sparse random bipartite graphs, SIAM J. Discrete Math., (2022). (to appear) [bibtex]
[443]Tuan Anh Do, Joshua Erde, Mihyun Kang and Michael Missethan, Component behaviour and excess of random bipartite graphs near the critical point, (2022). (submitted) [bibtex]
[442]Rainer Dietmann, Christian Elsholtz, Alexander Kalmynin and Sergei Konyagin James Maynard, Longer gaps between values of binary quadratic forms, Int. Mat. Res. Not., (2022). (accepted (25 pp.)) [bibtex] [pdf]
[441]Felix Dellinger, Discrete isothermic nets based on checkerboard patterns, (2022). [bibtex]
[440]Ante Ćustić and Stefan Lendl, The Steiner cycle and path cover problem on interval graphs, Journal of combinatorial optimization, 43, 226-234, (2022). [bibtex] [doi]
[439]Oliver Cooley and Julian Zalla, High-order bootstrap percolation in hypergraphs, (2022). (submitted) [bibtex]
[438]Gyu Whan Chang, Victor Fadinger and Daniel Windisch, Semigroup rings as weakly Krull domains, (2022). (Pacific J. Math.) [bibtex]
[437]Matteo Cavaleri, Daniele D'Angeli, Alfredo Donno and Stefan Hammer, Wiener, edge-Wiener, and vertex-edge-Wiener index of Basilica graphs, Discrete Applied Mathematics, 307, 32–49, (2022). [bibtex] [doi]
[436]Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan Matzke, Josiah Park and Oleksandr Vlasiuk, Potential theory with multivariate kernels, Mathematische Zeitschrift, (2022). [bibtex] [doi]
[435]Aqsa Bashir and Andreas Reinhart, On transfer Krull monoids, (2022). (Semigroup Forum) [bibtex] [url]
[434]Alan Arroyo, Fabian Klute, Irene Parada, Raimund Seidel, Birgit Vogtenhuber and Tilo Wiedera, Inserting one edge into a simple drawing is hard, Discrete & Computational Geometry, (2022). (to appear) [bibtex]
[433]Oswin Aichholzer, Johannes Obenaus, Joachim Orthaber, Rosna Paul, Patrick Schnider, Raphael Steiner, Tim Taubner and Birgit Vogtenhuber, Edge Partitions of Complete Geometric Graphs, In Proc. 38th Int. Symposium on Computational Geometry (SoCG), (2022). (to appear) [bibtex]
[432]Oswin Aichholzer, Kristin Knorr, Maarten Löffler, Zuzana Masárová, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul and Birgit Vogtenhuber, Flipping Plane Spanning Paths, Chapter in Proc. 38th European Workshop on Computational Geometry (EuroCG), 66:1–66:7, (2022). (extended abstract) [bibtex] [url]
[431]Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna Paul, Daniel Perz, Patrick Schnider and Birgit Vogtenhuber, Perfect Matchings with Crossings, In Proceedings of the 33rd Int. Workshop on Combinatorial Algorithms, (2022). (to appear) [bibtex]
[430]Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger, Twisted Ways to Find Plane Structures in Simple Drawings of Complete Graphs, In Proc. 38th Int. Symposium on Computational Geometry (SoCG), (2022). (to appear) [bibtex]
[429]Oswin Aichholzer, Man-Kwun Chiu, Hung P. Hoang, Michael Hoffmann, Yannic Maus, Birgit Vogtenhuber and Alexandra Weinberger, Gioan's Theorem for complete bipartite graphs, Chapter in Proc. 38th European Workshop on Computational Geometry (EuroCG), 31:1–31:6, (2022). (extended abstract) [bibtex] [url]
[428]Oswin Aichholzer, Thomas Hackl, Maarten Löffler, Alexander Pilz, Irene Parada, Manfred Scheucher and Birgit Vogtenhuber, Blocking Delaunay triangulations from the exterior, In Proceedings of the 38th European Workshop on Computational Geometry (EuroCG'22), (2022). (extended abstract) [bibtex] [pdf]
[427]Leonardo Alese, Propagation of curved folding: The folded annulus with multiple creases exists, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, (2021). [bibtex] [doi]
[426]Robert Tichy, Ingrid Vukusic, Daodao Yang and Voker Ziegler, Integers representable as differences of linear recurrence sequences, Research in Number Theory, 7(2), Paper No. 24, 12, (2021). [bibtex] [doi]
[425]J. Thuswaldner and S.-Q. Zhang, On self-affine tiles that are homeomorphic to a ball, (2021). (submitted) [bibtex]
[424]Ecaterina Sava-Huss and Wolfgang Woess, Boundary behaviour of $\lambda$-polyharmonic functions on regular trees, Annali di Matematica Pura ed Applicata, 200(1), 35–50, (2021). [bibtex] [doi]
[423]Marc Peigné and Wolfgang Woess, Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant, Annals of Applied Probability, 31(6), 2519–2537, (2021). [bibtex] [doi]
[422]Irene Parada, Vera Sacristán and Rodrigo I. Silveira, A new meta-module design for efficient reconfiguration of modular robots, Autonomous Robots, 45(4), 457–472, (2021). [bibtex] [doi]
[421]Caroline Moosmüller, Svenja Hüning and Costanza Conti, Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators, IMA J. Num. Analysis, 41, 2936–2961, (2021). [bibtex] [doi]
[420]Michael Missethan, Sparse random planar graphs, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, 246, 29–41, (2021). [bibtex]
[419]Christoph Aistleitner, Thomas Lachmann, Paolo Leonetti and Paolo Minelli, On the number of gaps of sequences with Poissonian Pair Correlations, Discrete Mathematics, 344, 112555:1-13, (2021). [bibtex] [doi]
[418]Paolo Minelli, On small fractional parts of perturbed polynomials, Int. J. Number Theory, (2021). (to appear) [bibtex]
[417]Jordan McMahon and Nicolas J. Williams, The Combinatorics of tensor products of higher Auslander algebras of type $A$, Glasgow Mathematical Journal, 63(3), 526-546, (2021). [bibtex] [doi]
[416]Christian Lindorfer, A language theoretic approach to self-avoiding walks, PhD thesis, TU Graz, (2021). [bibtex] [url]
[415]Stefan Lendl, Gerhard Woeginger and Lasse Wulf, Non-preemptive Tree Packing, Chapter in Combinatorial Algorithms. IWOCA 2021, Springer, 12757, 456–468, (2021). [bibtex] [doi]
[414]Stefan Lendl, Britta Peis and Veerle Timmermans, Matroid Bases with Cardinality Constraints on the Intersection, Math. Programming, (2021). [bibtex] [doi]
[413]Florian Lehner and Christian Lindorfer, Comparing consecutive letter counts in multiple context-free languages, Theoretical Computer Science, 868, 1-5, (2021). [bibtex] [doi]
[412]Thomas Lachmann, Stefan Lendl and Gerhard J. Woeginger, A linear time algorithm for the robust recoverable selection problem, Discrete Applied Mathematics, 303, 94–107, (2021). [bibtex] [doi]
[411]Bettina Klinz, Vladimir G. Deineko and Mengke Wang, 2-Period Balanced Travelling Salesman Problem: a polynomially solvable case and heuristics, (2021). (submitted) [bibtex]
[410]Michael Kerber, Robert Tichy and Mario Weitzer, Constrained Triangulations, Volumes of Polytopes, and Unit Equations, Publicationes Mathematicae Debrecen, 99, 69–99, (2021). [bibtex]
[409]Mihyun Kang and Michael Missethan, The early evolution of the random graph process in planar graphs and related classes, (2021). (submitted) [bibtex]
[408]Mihyun Kang and Michael Missethan, Concentration of maximum degree in random planar graphs, (2021). (submitted) [bibtex]
[407]Mihyun Kang and Michael Missethan, Local limit of sparse random planar graphs, (2021). (submitted) [bibtex]
[406]Mihyun Kang and Michael Missethan, Cut vertices in random planar graphs, In European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), Springer, (2021). (extended abstract) [bibtex]
[405]Caigui Jiang, Hui Wang, Victor Ceballos Inza, Felix Dellinger, Florian Rist, Johannes Wallner and Helmut Pottmann, Using isometries for computational design and fabrication, ACM Trans. Graph., 40(4), 42:1-12, (2021). [bibtex] [doi]
[404]Wilfried Imrich, Thomas Lachmann and Thomas W. Tucker and Gundelinde M. Wiegel, Asymmetrizing cost and density of vertex-transitive cubic graphs, (2021). (submitted) [bibtex] [pdf]
[403]Hung P. Hoang, Stefan Lendl and Lasse Wulf, Assistance and Interdiction Problems on Interval Graphs, (2021). (submitted) [bibtex]
[402]Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations, (2021). (submitted) [bibtex]
[401]Alexander Grigoriev, Tim A. Hartmann, Stefan Lendl and Gerhard J. Woeginger, Dispersing Obnoxious Facilities on a Graph, Algorithmica, 83(6), 1734–1749, (2021). [bibtex] [doi]
[400]Marc Goerigk and Stefan Lendl, Robust Combinatorial Optimization with Locally Budgeted Uncertainty, Open Journal of Mathematical Optimization, 2, (2021). [bibtex] [doi]
[399]Marc Goerigk, Stefan Lendl and Lasse Wulf, On the Recoverable Traveling Salesman Problem, (2021). (preprint) [bibtex]
[398]Dennis Fischer, Tim A. Hartmann, Stefan Lendl and Gerhard J. Woeginger, An Investigation of the Recoverable Robust Assignment Problem, Chapter in 16th International Symposium on Parameterized and Exact Computation (IPEC 2021) (Petr A. Golovach, Meirav Zehavi, eds.), 214, 19:1–19:14, (2021). [bibtex] [doi]
[397]Damir Ferizović, Uniform point distributions and energy estimates on compact Riemannian manifolds, PhD thesis, TU Graz, (2021). [bibtex] [url]
[396]Damir Ferizović, On the $L^2$-norm of Gegenbauer polynomials, Mathematical Sciences, (2021). [bibtex] [doi]
[395]Joshua Erde, Mihyun Kang and Michael Krivelevich, Large complete minors in random subgraphs, Combinatorics, Probability and Computing, 30(4), 619–630, (2021). [bibtex] [doi]
[394]Carsten Elsner and Niclas Technau, On linear relations for Dirichlet series formed by recursive sequences of second order, Journal of the Australian Mathematical Society, 110(3), 406-430, (2021). [bibtex] [doi]
[393]C. Elsholtz and S. Planitzer, Sums of four and more unit fractions and approximate parametrizations, Bulletin of the London Mathematical Society, 53(3), 695-709, (2021). [bibtex] [doi]
[392]Christian Elsholtz and Gabriel Lipnik, Exponentially larger affine and projective caps, (2021). (submitted) [bibtex] [pdf]
[391]Christian Elsholtz, Fermat's Last Theorem Implies Euclid's Infinitude of Primes, The American Mathematical Monthly, 128(3), 250-257, (2021). [bibtex] [doi]
[390]Chris Dowden, Mihyun Kang, Mirjana Mikalački and Miloš Stojaković, The game of Toucher and Isolator, In European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), Springer, (2021). (extended abstract) [bibtex]
[389]Tuan Anh Do, Joshua Erde and Mihyun Kang, Component behaviour of random bipartite graphs, In European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), Springer, (2021). (extended abstract) [bibtex]
[388]M. Ddamulira and F. Luca, On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences, The Ramanujan Journal, 56, 651-684, (2021). [bibtex] [doi]
[387]M. Ddamulira, Padovan numbers that are concatenations of two distinct repdigits, Math. Slovaca, 71, 275-284, (2021). [bibtex] [doi]
[386]René Corbet, Michael Kerber, Michael Lesnick and Georg Osang, Computing the Multicover Bifiltration, In 37th International Symposium on Computational Geometry (SoCG 2021) (Kevin Buchin, Éric Colin de Verdière, eds.), 189, 27:1–17, (2021). [bibtex] [doi]
[385]Oliver Cooley, Mihyun Kang and Julian Zalla, Loose cores and cycles in random hypergraphs, (2021). (submitted) [bibtex]
[384]Oliver Cooley, Frederik Garbe, Eng Keat Hng, Mihyun Kang, Nicolás Sanhueza-Matamala and Julian Zalla, Longest paths in random hypergraphs, SIAM J. Discrete Math., 35(4), 2430–2458, (2021). [bibtex] [doi]
[383]Oliver Cooley, Mihyun Kang and Julian Zalla, Loose cores and cycles in random hypergraphs, In European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), Springer, (2021). (extended abstract) [bibtex]
[382]T. P. Chalebgwa and M. Ddamulira, Padovan numbers which are palindromic concatenations of two distinct repdigits, RACSAM (Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat.), 115, 108:1–14, (2021). [bibtex] [doi]
[381]Eranda Çela, Bettina Klinz, Stefan Lendl, James B Orlin, Gerhard J Woeginger and Lasse Wulf, Linearizable Special Cases of the Quadratic Shortest Path Problem, In International Workshop on Graph-Theoretic Concepts in Computer Science, Springer, 12911, 245–256, (2021). [bibtex] [doi]
[380]Eranda Çela, Vladimir G. Deineko and Gerhard J. Woeginger, Travelling salesman paths on Demidenko matrices, Discrete Applied Mathematics, (2021). [bibtex] [doi]
[379]Mickaël Buchet, Bianca Dornelas and Michael Kerber, Collapses of Higher-Order Delaunay complexes, In Collection of Abstracts: 37th European Workshop on Computational Geometry (EuroCG 2021), 39:1-7, (2021). [bibtex] [pdf]
[378]Karin Baur and Sibylle Schroll, Higher extensions for gentle algebras, Bulletin des Sciences Mathématiques, 170, (2021). [bibtex] [doi]
[377]Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko and Gordana Todorov, Friezes satisfying higher SL$_k$-determinants, Algebra & Number Theory, 15(1), 29–68, (2021). [bibtex] [doi]
[376]Aqsa Bashir, Alfred Geroldinger and Andreas Reinhart, On the arithmetic of stable domains, Communications in Algebra, 49(11), 4763 – 4787, (2021). [bibtex] [doi]
[375]Aqsa Bashir, Alfred Geroldinger and Qinghai Zhong, On a zero-sum problem arising from factorization theory, In Combinatorial and Additive Number Theory IV (M. Nathanson, ed.), Springer, 11-24, (2021). [bibtex] [doi]
[374]Casper Barendrecht, Elasticities of orders in central simple algebras, (2021). (Acta Arith.) [bibtex]
[373]Chimere Stanley Anabanti, Stefan Hammer and Nneka Chigozie Okoli, An infinitude of counterexamples to Herzog's conjecture on involutions in simple groups, Communications in Algebra, Taylor and Francis Ltd., 49(4), 1415–1421, (2021). [bibtex] [doi]
[372]Leonardo Alese, Affine subspaces of curvature functions from closed planar curves, Results in Mathematics, 76(2), 70:1-14, (2021). [bibtex] [doi]
[371]Leonardo Alese, Propagation of curved folding: The folded annulus with multiple creases exists, Beiträge zur Algebra und Geometrie, (2021). [bibtex] [doi]
[370]Hugo Akitaya, Esther Arkin, Mirela Damian, Erik D. Demaine, Vida Dujmović, Robin Flatland, Matias Korman, Belen Palop, Irene Parada, André van Renssen and Vera Sacristán, Universal reconfiguration of facet-connected modular robots by pivots: the O(1) musketeers, Algorithmica, 83(5), 1316–1351, (2021). [bibtex] [doi]
[369]Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec and Birgit Vogtenhuber, On compatible matchings, In Proceedings of the 15th International Conference and Workshops on Algorithms and Computing (WALCOM'21), Springer, 12635, 221–233, (2021). [bibtex] [doi]
[368]Oswin Aichholzer, Johannes Obenaus, Joachim Orthaber, Rosna Paul, Patrick Schnider, Raphael Steiner, Tim Taubner and Birgit Vogtenhuber, Edge Partitions of Complete Geometric Graphs (Part 2), (2021). [bibtex]
[367]Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger, Plane paths in simple drawings of complete graphs, In Proc. XIX Encuentros de Geometría Computacional, 4, (2021). [bibtex] [url]
[366]Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger, Plane Matchings in Simple Drawings of Complete Graphs, In Proceedings of the Computational Geometry: Young Researchers Forum, 6-10, (2021). [bibtex] [url]
[365]Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna Paul, Daniel Perz, Patrick Schnider and Birgit Vogtenhuber, Perfect Matchings with Crossings, In Proceedings of the Computational Geometry: Young Researchers Forum, 24-27, (2021). [bibtex] [url]
[364]Oswin Aichholzer, Maarten Löffler, Jayson Lynch, Zuzana Masárová, Joachim Orthaber, Irene Parada, Rosna Paul, Daniel Perz, Birgit Vogtenhuber and Alexandra Weinberger, Dominect: a simple yet deep 2-player board game, In Abstracts of the 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG 2020+1), 112–113, (2021). (extended abstract) [bibtex] [pdf]
[363]Gundelinde Maria Wiegel, Random walks, frogs, and the cost of asymmetry, PhD thesis, TU Graz, (2020). [bibtex] [url]
[362]Johannes Wallner, Geometric subdivision and multiscale transforms, Chapter in Handbook of Variational Methods for Nonlinear Geometric Data (Philipp Grohs, Martin Holler, Andreas Weinmann, eds.), Springer, 121-152, (2020). [bibtex] [pdf] [doi]
[361]J. Thuswaldner and S.-Q. Zhang, On self-affine tiles whose boundary is a sphere, Transactions of the American Mathematical Society, 373, 491–527, (2020). [bibtex]
[360]Hui Rao and Shu-Qin Zhang, Space-filling curves of self-similar sets (III): skeletons, Fractals, 28(02), 2050028, (2020). [bibtex] [doi]
[359]M. A. Picardello and W. Woess, Multiple boundary representations of $\lambda$-harmonic functions on trees, London Math. Soc. Lecture Notes, 461, 95–125, (2020). [bibtex] [doi]
[358]Jun Seok Oh and Qinghai Zhong, On Erdős-Ginzburg-Ziv inverse theorems for dihedral and dicyclic groups, Israel Journal of Mathematics, 238, 715 – 743, (2020). [bibtex] [doi]
[357]Jun Seok Oh, On the algebraic and arithmetic structure of the monoid of product-one sequences, Journal of Commutative Algebra, 12(3), 409 – 433, (2020). [bibtex] [doi]
[356]Sebastian Müller and Gundelinde Maria Wiegel, On transience of frogs on Galton-Watson trees, Electronic Journal of Probability, 25, Paper No. 152, 30, (2020). [bibtex] [doi]
[355]Jordan McMahon, Fabric idempotents and higher Auslander-Reiten theory, Journal of Pure and Applied Algebra, 224(8), 106343,1–19, (2020). [bibtex] [doi]
[354]Christian Lindorfer and Wolfgang Woess, The language of self-avoiding walks, Combinatorica, 40(5), 691–720, (2020). [bibtex] [doi]
[353]Christian Lindorfer, Self-avoiding walks and their languages, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, no. 244, 11–26, (2020). [bibtex]
[352]Christian Lindorfer, A general bridge theorem for self-avoiding walks, Discrete Mathematics, Elsevier, 343(12), (2020). [bibtex] [doi]
[351]Florian Lehner and Christian Lindorfer, Self-avoiding walks and multiple context-free languages, (2020). (submitted) [bibtex]
[350]Mihyun Kang and Michael Missethan, The giant component and 2-core in sparse random outerplanar graphs, Chapter in 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, 159, Art. 18, 15, (2020). [bibtex] [doi]
[349]Mihyun Kang, Michael Moßhammer and Philipp Sprüssel, Phase transitions in graphs on orientable surfaces, Random Structures Algorithms, 56(4), 1117–1170, (2020). [bibtex] [doi]
[348]Svenja Hüning, Polynomial reproduction of Hermite subdivision schemes of any order, Mathematics and Computers in Simulation, 176, 195-205, (2020). [bibtex] [pdf] [doi]
[347]Tim A. Hartmann, Stefan Lendl and Gerhard J. Woeginger, Continuous Facility Location on Graphs, In Integer Programming and Combinatorial Optimization (Daniel Bienstock, Giacomo Zambelli, eds.), Springer, 171–181, (2020). [bibtex] [doi]
[346]Nicola Del Giudice, Random hypergraphs and random simplicial complexes, PhD thesis, TU Graz, (2020). [bibtex] [url]
[345]Alfred Geroldinger and Qinghai Zhong, Factorization Theory in Commutative Monoids, Semigroup Forum, 100, 22 – 51, (2020). [bibtex] [doi]
[344]Zhicheng Gao and Mihyun Kang, Counting cubic maps with large genus, Chapter in 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 159, Art. 13, 12, (2020). [bibtex] [doi]
[343]Nikolaos Fountoulakis, Mihyun Kang and Tamás Makai, Resolution of a conjecture on majority dynamics: rapid stabilization in dense random graphs, Random Structures Algorithms, 57(4), 1134–1156, (2020). [bibtex] [doi]
[342]Advances in Rings, Modules, and Factorizations, (Alberto Facchini, Marco Fontana, Alfred Geroldinger, Bruce Olberding, eds.), 321, (2020). [bibtex] [url]
[341]Christian Elsholtz and Jan-Christoph Schlage-Puchta, The density of integers representable as the sum of four prime cubes, Acta Arithmetica, 192(4), 363–369, (2020). [bibtex] [doi]
[340]Christian Elsholtz and Stefan Planitzer, The number of solutions of the Erdős-Straus equation and sums of $k$ unit fractions, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 150(3), 1401–1427, (2020). [bibtex] [doi]
[339]Christian Elsholtz and Péter Pál Pach, Caps and progression-free sets in $\mathbb{Z}^n_m$, Designs, Codes and Cryptography, 88(10), 2133-2170, (2020). [bibtex] [doi]
[338]Christian Elsholtz, Benjamin Klahn and Gabriel F. Lipnik, Large Subsets of ${\mathbb Z}^n_m$ without Arithmetic Progressions, (2020). (submitted) [bibtex] [pdf]
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[336]Chris Dowden, Mihyun Kang and Michael Krivelevich, The genus of the Erdős-Rényi random graph and the fragile genus property, Random Structures Algorithms, 56(1), 97–121, (2020). [bibtex] [doi]
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[330]M. Ddamulira, On the $x$-coordinates of Pell equations that are products of two Padovan numbers, Integers, 20, #A70:1-20, (2020). [bibtex] [pdf]
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[325]Rene Corbet, Improvements to the Pipeline of Multiparameter Persistence, PhD thesis, TU Graz, (2020). [bibtex] [url]
[324]Oliver Cooley, Nicola Del Giudice, Mihyun Kang and Philipp Sprüssel, Phase transition in cohomology groups of non-uniform random simplicial complexes, (2020). (submitted) [bibtex]
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[316]Leonardo Alese, Problems on Closed Curves, PhD thesis, TU Graz, (2020). [bibtex] [url]
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[314]Oswin Aichholzer, Martin Balko, Thomas Hackl, Jan Kynčl, Irene Parada, Manfred Scheucher, Pavel Valtr and Birgit Vogtenhuber, A superlinear lower bound on the number of 5-holes, Journal of Combinatorial Theory, Series A, 137, (2020). [bibtex] [doi]
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[312]Oswin Aichholzer, Luis E. Caraballo, José M. Díaz-Báñez, Ruy Fabila-Monroy, Irene Parada, Inmaculada Ventura and Birgit Vogtenhuber, Scheduling drones to cover outdoor events, In Proceedings of the 36th European Workshop on Computational Geometry (EuroCG'20), 24:1–24:6, (2020). (extended abstract) [bibtex] [pdf]
[311]Oswin Aichholzer, Michael Hoffmann, Johannes Obenaus, Rosna Paul, Daniel Perz, Nadja Seiferth, Birgit Vogtenhuber and Alexandra Weinberger, Plane Spanning Trees in Edge-Colored Simple Drawings of $K_{n}$, In Proceedings of the 28th International Symposium on Graph Drawing and Network Visualization (GD), (2020). [bibtex] [doi]
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[307]Marc Peigné and Wolfgang Woess, Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant, (2019). [bibtex]
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[305]Jun Seok Oh and Qinghai Zhong, On minimal product-one sequences of maximal length over Dihedral and Dicyclic groups, Communications of the Korean Mathematical Society, 35(1), 83 – 116, (2019). [bibtex] [doi]
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[278]Oliver Cooley, Nicola Del Giudice, Mihyun Kang and Philipp Sprüssel, Cohomology groups of non-uniform random simplicial complexes, Acta Mathematica Universitatis Comenianae, 88(3), 553–560, (2019). ((extended abstract, Proc. EuroComb19)) [bibtex] [url]
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[276]Costanza Conti and Svenja Hüning, An algebraic approach to polynomial reproduction of Hermite subdivision schemes, Journal of Computational and Applied Mathematics, 349, 302-315, (2019). [bibtex] [doi]
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[263]Hugo Akitaya, Esther Arkin, Mirela Damian, Erik D. Demaine, Vida Dujmović, Robin Flatland, Matias Korman, Belen Palop, Irene Parada, André van Renssen and Vera Sacristán, Reconfiguring edge-connected pivoting modular robots, In XVIII Spanish Meeting on Computational Geometry, 64, (2019). (extended abstract) [bibtex] [pdf]
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[256]Oswin Aichholzer, Irene Parada, Manfred Scheucher, Birgit Vogtenhuber and Alexandra Weinberger, Shooting stars in simple drawings of $K_{m,n}$, In Proceedings of the 35th European Workshop on Computational Geometry (EuroCG), 59:1–59:6, (2019). (extended abstract) [bibtex] [pdf]
[255]Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber and Emo Welzl, Minimal representations of order types by geometric graphs, Chapter in International Symposium on Graph Drawing and Network Visualization, Springer, 11904, 101–113, (2019). [bibtex] [doi]
[254]Oswin Aichholzer, Ruy Fabila, Adrian Fuchs, Carlos Hidalgo, Irene Parada, Birgit Vogtenhuber and Francisco Zaragoza, On the 2-colored crossing number, In Proceedings of the 35th European Workshop on Computational Geometry (EuroCG), 56:1–56:7, (2019). (extended abstract) [bibtex] [pdf]
[253]Oswin Aichholzer, Ruy Fabila, Adrian Fuchs, Carlos Hidalgo, Irene Parada, Birgit Vogtenhuber and Francisco Zaragoza, On the 2-colored crossing number, In 27th International Symposium on Graph Drawing and Network Visualization (GD), Springer, 11904, 87–100, (2019). [bibtex] [doi]
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[74]Peter J. Grabner, Arnold Knopfmacher and Stephan G. Wagner, A general asymptotic scheme for the analysis of partition statistics, Combinatorics, Probability and Computing, 23(6), 1057-1086, (2014). [bibtex] [doi]
[73]Peter J. Grabner, Point sets of minimal energy, Chapter in Applied algebra and number theory (Gerhard Larcher, others, eds.), Cambridge Univ. Press, Cambridge, 109-125, (2014). [bibtex] [pdf]
[72]Alberto Facchini, Nguyen Khanh Tung and Daniel Smertnig, Cyclically presented modules, projective covers and factorizations, In Ring Theory and its Applications (Dinh Van Huynh, others, eds.), Amer. Math. Soc., 609, 89 – 106, (2014). [bibtex] [doi]
[71]Christian Elsholtz, Alan Filipin and Yasutsugu Fujita, On Diophantine quintuples and $D(-1)$-quadruples, Monatshefte für Mathematik, 175, 227-239, (2014). [bibtex] [doi]
[70]Oliver Ebner, Stochastic aspects of nonlinear refinement schemes, SIAM Journal of Numerical Analysis, 52, 717-734, (2014). [bibtex] [doi]
[69]Vladimir G. Deineko, Bettina Klinz, Alexander Tiskin and Gerhard J. Woeginger, Four point conditions for symmetric TSP: The complete classification, Discrete Optimization, 14, 147-159, (2014). [bibtex] [doi]
[68]Ante Ćustić, Efficiently solvable special cases of multidimensional assignment problems, PhD thesis, TU Graz, (2014). [bibtex] [url]
[67]Ante Ćustić, Bettina Klinz and Gerhard J. Woeginger, Planar 3-dimensional assignment problems with Monge-like cost arrays, (2014). (preprint) [bibtex]
[66]Johannes Cuno, Wilfried Imrich and Florian Lehner, Distinguishing graphs with infinite motion and nonlinear growth, Ars Mathematica Contemporanea, 7(1), 201-213, (2014). [bibtex] [url] [doi]
[65]Ingrid Carbone and Maria Rita Iacò, A dynamical system approach to the Kakutani-Fibonacci sequence, Ergodic Theory and Dynamical Systems, 34(6), 1794–1806, (2014). [bibtex] [doi]
[64]Rainer E. Burkard and Roswitha Rissner, Bounds on the radius and status of graphs, Networks, 64(2), 76-83, (2014). [bibtex] [doi]
[63]Tetiana Boiko, Potential theory on infinite trees and the unit disk, PhD thesis, TU Graz, (2014). [bibtex] [url]
[62]Johann Blieberger and Peter Kirschenhofer, Generalized Catalan sequences originating from the analysis of special data structures, Bulletin of the Institute of Combinatorics and its Applications, 71, 103–116, (2014). [bibtex]
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[60]Alina Bazarova, Asymptotic properties of trimmed sums and their applications in Analysis and Statistics, PhD thesis, TU Graz, (2014). [bibtex] [url]
[59]Alina Bazarova, István Berkes and Lajos Horváth, On the central limit theorem for modulus trimmed sums, Statistics & Probability Letters, 86, 61-67, (2014). [bibtex] [pdf] [doi]
[58]Alina Bazarova, István Berkes and Lajos Horváth, Trimmed stable AR(1) processes, Stochastic Processes and Applications, 124, 3441-3462, (2014). [bibtex] [pdf] [doi]
[57]Karin Baur, Aslak Bakke Buan and Robert J. Marsh, Torsion pairs and rigid objects in tubes, Algebras and Representation Theory, 17(2), 565-591, (2014). [bibtex] [doi]
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[54]Fabrizio Barroero, Counting algebraic integers of fixed degree and bounded height, Monatshefte für Mathematik, 175, 25-41, (2014). [bibtex] [doi]
[53]Daniel Smertnig, A note on cancellation in totally definite quaternion algebras, Journal fürr die Reine und Angewandte Mathematik, 707, 209 – 216, (2013). [bibtex] [pdf] [doi]
[52]Daniel Smertnig, Sets of lengths in maximal orders in central simple algebras, Journal of Algebra, 390, 1 – 43, (2013). [bibtex] [doi]
[51]Johannes F. Morgenbesser, Wolfgang Steiner and Jörg M. Thuswaldner, Patterns in rational base number systems, The Journal of Fourier Analysis and Applications, 19(2), 225–250, (2013). [bibtex] [doi]
[50]Franz Lehner and Stephan Wagner, Free lamplighter groups and a question of Atiyah, American Journal of Mathematics, 135(3), 835-849, (2013). [bibtex] [doi]
[49]Florian Lehner, Random colorings and automorphism breaking in locally finite graphs, Combinatorics, Probability and Computing, 22(6), 885-909, (2013). [bibtex] [doi]
[48]Dijana Kreso and Csaba Rakaczki, Diophantine equations with Euler polynomials, Acta Arithmetica, 161, 267–281, (2013). [bibtex] [doi]
[47]Daniel Krenn, Digit Expansions with Applications in Cryptography, PhD thesis, Graz, University of Technology, (2013). [bibtex] [url]
[46]Daniel Krenn, Jörg Thuswaldner and Volker Ziegler, On linear combinations of units with bounded coefficients and double-base digit expansions, Monatshefte für Mathematik, 171(3-4), 377-394, (2013). [bibtex] [doi]
[45]Daniel Krenn, Analysis of the Width-$w$ Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices, Theoretical Computer Science, 491, 47-70, (2013). [bibtex] [doi]
[44]Andrea Jiménez, Mihyun Kang and Martin Loebl, Directed cycle double covers: hexagon graphs, Chapter in The Seventh European Conference on Combinatorics, Graph Theory and Applications, Ed. Norm., Pisa, 16, 147–151, (2013). [bibtex] [doi]
[43]Markus Hofer, Maria Rita Iacò and Robert Tichy, Ergodic properties of $\beta$-adic Halton sequences, Ergodic Theory and Dynamical Systems, 35, 895–909, (2013). [bibtex] [doi]
[42]Clemens Heuberger and Daniel Krenn, Existence and Optimality of $w$-non-adjacent Forms with an Algebraic Integer Base, Acta Mathematica Hungarica, 140(1-2), 90-104, (2013). [bibtex] [doi]
[41]Clemens Heuberger and Daniel Krenn, Optimality of the Width-$w$ Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases, Journal of Théorie des Nombres de Bordeaux, 25(2), 353-386, (2013). [bibtex] [url]
[40]Clemens Heuberger and Daniel Krenn, Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases, Journal of Number Theory, 133(5), 1752-1808, (2013). [bibtex] [doi]
[39]Clemens Heuberger, Daniel Krenn and Stephan Wagner, Analysis of Parameters of Trees Corresponding to Huffman Codes and Sums of Unit Fractions, Chapter in Proc. ANALCO 2013 (Markus Nebel, W. Szpankowski, eds.), SIAM, 33-42, (2013). [bibtex] [doi]
[38]Alfred Geroldinger and Pingzhi Yuan, The monotone catenary degree of Krull monoids, Results in Mathematics, 63(3-4), 999 – 1031, (2013). [bibtex] [pdf] [doi]
[37]Sophie Frisch and Daniel Krenn, Sylow $p$-groups of polynomial permutations on the integers mod $p^n$, Journal of Number Theory, 133(12), 4188-4199, (2013). [bibtex] [doi]
[36]Christian Elsholtz, Clemens Heuberger and Helmut Prodinger, The number of Huffman codes, compact trees, and sums of unit fractions, IEEE Transactions on Information Theory, 59, 1065-1075, (2013). [bibtex] [doi]
[35]Oliver Ebner, Convergence of iterative schemes in metric spaces, Proceedings of the American Mathematical Society, 141, 677-686, (2013). [bibtex] [doi]
[34]Andrej Dujella and Christian Elsholtz, Sumsets being squares, Acta Mathematica Hungarica, 141(4), 353-357, (2013). [bibtex] [pdf] [doi]
[33]Rainer Dietmann, Christian Elsholtz and Igor E. Shparlinski, On gaps between primitive roots in the Hamming metric., Quarterly Journal of Mathematics, 64(4), 1043–1055, (2013). [bibtex] [doi]
[32]Vladimir G. Deineko, Bettina Klinz and Gerhard J. Woeginger, Uniqueness in quadratic and hyperbolic 0-1 programming problems, Operations Research Letters, 41, 633-635, (2013). [bibtex] [doi]
[31]Gyu Whan Chang and Daniel Smertnig, Factorization in the self-idealization of a PID, Boll. Unione Mat. Ital. (9), 6(2), 363 – 377, (2013). [bibtex]
[30]Fabrizio Barroero, Counting lattice points, o-minimal structures and applications, PhD thesis, TU Graz, (2013). [bibtex] [url]
[29]Christoph Temmel, Properties and applications of Bernoulli random fields with strong dependency graphs, PhD thesis, TU Graz, (2012). [bibtex] [url]
[28]Nina S. Schmuck, Stephan G. Wagner and Hua Wang, Greedy trees, caterpillars, and Wiener-type graph invariants, Chapter in Distance in Molecular Graphs — Theory (Ivan Gutman, Boris Furtula, eds.), University of Kragujevac and Faculty of Science Kragujevac, 12, 195-214, (2012). [bibtex]
[27]Nina S. Schmuck, Stephan G. Wagner and Hua Wang, Greedy trees, caterpillars, and Wiener-type graph invariants, MATCH. Communications in Mathematical and in Computer Chemistry, 68(1), 273-292, (2012). [bibtex] [pdf]
[26]Pierre Mathieu and Christoph Temmel, K-independent percolation on trees, Stochastic Processes and their Applications, 122(3), 1129-1153, (2012). [bibtex] [doi]
[25]Wilfried Huss and Ecaterina Sava, The rotor-router group of directed covers of graphs, Electronic Journal of Combinatorics, 19(3), paper 30, 19 pp., (2012). [bibtex] [url]
[24]Wilfried Huss and Ecaterina Sava, Transience and recurrence of rotor-router walks on directed covers of graphs, Electronic Communications in Probability, 17, paper 41, 13 pp., (2012). [bibtex] [doi]
[23]Wilfried Huss and Ecaterina Sava, Internal aggregation models on comb lattices, Electronic Journal of Probability, 17(30), 1-21, (2012). [bibtex] [doi]
[22]Alfred Geroldinger and Pingzhi Yuan, The set of distances in Krull monoids, Bulletin of the London Mathematical Society, 44(6), 1203 – 1208, (2012). [bibtex] [doi]
[21]Oliver Ebner, Stochastic Aspects of Refinement Schemes on Metric Spaces, PhD thesis, TU Graz, (2012). [bibtex] [url]
[20]Rainer Dietmann and Christian Elsholtz, Hilbert cubes in progression-free sets and in the set of squares, Israel Journal of Mathematics, 192(1), 59-66, (2012). [bibtex] [doi]
[19]Elisabetta Candellero, Limit behaviors for random walks and branching random walks on some products of groups, PhD thesis, TU Graz, (2012). [bibtex] [url]
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[15]Christoph Aistleitner, István Berkes and Robert Tichy, On the law of the iterated logarithm for permuted lacunary sequences, Proceedings of the Steklov Institute of Mathematics, 276, 3-20, (2012). [bibtex] [doi]
[14]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of lacunary series, Chapter in Functions in number theory and their probabilistic aspects, Res. Inst. Math. Sci. (RIMS), Kyoto, B34, 1-25, (2012). [bibtex] [url]
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[11]Christopher Frei, Sum of units in number fields and function fields, PhD thesis, TU Graz, (2011). [bibtex] [url]
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[7]Serban Belinschi, Marek Bożejko, Franz Lehner and Roland Speicher, The normal distribution is $\boxplus$-infinitely divisible, Advances in Mathematics, 226(4), 3677-3698, (2011). [bibtex] [doi]
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[5]Christoph Aistleitner, István Berkes and Robert Tichy, On the asymptotic behavior of weakly lacunary sequences, Proceedings of the American Mathematical Society, 139, 2505-2517, (2011). [bibtex] [doi]
[4]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of Hardy-Littlewood-Pólya sequences, Transactions of the American Mathematical Society, 363, 6219-6244, (2011). [bibtex] [doi]
[3]Daniel Smertnig, On the Davenport constant and group algebras, Colloquium Mathematicum, 121(2), 179 – 193, (2010). [bibtex] [doi]
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[1]Christoph Aistleitner, István Berkes and Robert Tichy, Lacunary sequences and permutations, In Dependence in Probability, Analysis and Number Theory (István Berkes, others, eds.), Kendrick Press, 35-49, (2010). [bibtex]