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!

Project 1:
Random walk models on graphs and groups

[55]Stefan Hammer, Relations of Wiener index and (revised) Szeged index on cacti, and the revised Szeged index as vertex sum. (submitted) [bibtex]
[54]Panagiotis Spanos, Remarks on random walks on graphs and the Floyd boundary, Arkiv för Matematik, (2022). [bibtex] [url] [doi]
[53]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]
[52]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing locally finite trees, Electronic J. Combinatorics, (2022). (to appear) [bibtex]
[51]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]
[50]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]
[49]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]
[48]Christian Lindorfer, A language theoretic approach to self-avoiding walks, PhD thesis, TU Graz, (2021). [bibtex] [url]
[47]Florian Lehner and Christian Lindorfer, Comparing consecutive letter counts in multiple context-free languages, Theoretical Computer Science, 868, 1-5, (2021). [bibtex] [doi]
[46]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]
[45]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]
[44]Gundelinde Maria Wiegel, Random walks, frogs, and the cost of asymmetry, PhD thesis, TU Graz, (2020). [bibtex] [url]
[43]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]
[42]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]
[41]Christian Lindorfer and Wolfgang Woess, The language of self-avoiding walks, Combinatorica, 40(5), 691–720, (2020). [bibtex] [doi]
[40]Christian Lindorfer, Self-avoiding walks and their languages, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, no. 244, 11–26, (2020). [bibtex]
[39]Christian Lindorfer, A general bridge theorem for self-avoiding walks, Discrete Mathematics, Elsevier, 343(12), (2020). [bibtex] [doi]
[38]Florian Lehner and Christian Lindorfer, Self-avoiding walks and multiple context-free languages, (2020). (submitted) [bibtex]
[37]M. A. Picardello and W. Woess, Boundary representations of $\lambda$-harmonic and polyharmonic functions on trees, Potential Analysis, 51(4), 541–561, (2019). [bibtex] [doi]
[36]Marc Peigné and Wolfgang Woess, Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant, (2019). [bibtex]
[35]Judith Kloas and Wolfgang Woess, Multidimensional random walk with reflections, Stochastic Processes and their Applications, 129(1), 336-354, (2019). [bibtex] [doi]
[34]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing graphs of maximum valence 3, Electronic J. Combinatorics, 26, #P4.36:1–26, (2019). [bibtex] [doi]
[33]T. Boiko and Oleg Karpenkov, Martin Integral Representation for Nonharmonic Functions and Discrete Co-Pizzetti Series, Mathematical Notes, 106, 659-673, (2019). [bibtex] [doi]
[32]Alexander Bendikov, Wojciech Cygan and Wolfgang Woess, Oscillating heat kernels on ultrametric spaces, J. Spectral Theory, 9(1), 195-226, (2019). [bibtex] [doi]
[31]Gundelinde Maria Wiegel, The relation between quenched and annealed Lyapunov exponents in random potential on trees, Stochastic Processes and their Applications, 128(6), 1988-2006, (2018). [bibtex] [doi]
[30]Judith Kloas, Reflected and stopped random walks and the distinguishing number of graphs, PhD thesis, TU Graz, (2018). [bibtex] [url]
[29]Wojciech Cygan and Judith Kloas, On recurrence of the multidimensional Lindley process, Electronic Communications in Probability, 23(4), 1-14, (2018). [bibtex] [doi]
[28]Johannes Cuno and Ecaterina Sava-Huss, Random walks on Baumslag-Solitar groups, Israel Journal of Mathematics, 228(2), 627-663, (2018). [bibtex] [doi]
[27]Elisabetta Candellero, Shirshendu Ganguly, Christopher Hoffman and Lionel Levine, Oil and water: a two-type internal aggregation model, Annals of Probability, 45(6A), 4019-4070, (2017). [bibtex]
[26]Daniele D'Angeli, Alfredo Donno and Ecaterina Sava-Huss, Connectedness and isomorphism properties of the zig-zag product of graphs, Journal of Graph Theory, 83(2), 120–151, (2016). [bibtex] [doi]
[25]Tetiana Boiko, Johannes Cuno, Wilfried Imrich, Florian Lehner and Christiaan E. van de Woestijne, The Cartesian product of graphs with loops, Ars Mathematica Contemporanea, 11(1), 1-9, (2016). [bibtex] [doi]
[24]Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori and Wolfgang Woess, Brownian motion on treebolic space: positive harmonic functions, Ann. Inst. Fourier, 66(4), 1691–1731, (2016). [bibtex] [url] [doi]
[23]James Parkinson and Wolfgang Woess, Regular sequences and random walks in affine buildings, Ann. Institut Fourier (Grenoble), 65(2), 675-707, (2015). [bibtex] [url] [doi]
[22]Johannes Cuno, Combinatorial and probabilistic aspects of discrete groups, PhD thesis, TU Graz, (2015). [bibtex] [url]
[21]Johannes Cuno and Jörg Lehnert, The Tits alternative for non-spherical triangles of groups, Trans. Lond. Math. Soc., 2(1), 93-124, (2015). [bibtex] [doi]
[20]Elisabetta Candellero and Matthew I. Roberts, The number of ends of critical branching random walks, ALEA. Latin American Journal of Probability and Mathematical Statistics, 12(1), 55-67, (2015). [bibtex] [pdf]
[19]Tetiana Boiko and Wolfgang Woess, Moments of Riesz measures on Poincaré disk and homogeneous tree - a comparative study, Expositiones Mathematicae, 33(3), 353-374, (2015). [bibtex] [doi]
[18]Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori and Wolfgang Woess, Brownian motion on treebolic space: escape to infinity, Revista Matematica Iberoamericana, 31(3), 935-976, (2015). [bibtex] [doi]
[17]Octavio Arizmendi, Takahiro Hasebe, Franz Lehner and Carlos Vargas, Relations between cumulants in noncommutative probability, Advances in Mathematics, 282, 56-92, (2015). [bibtex] [doi]
[16]Christoph Temmel, Shearer's measure and stochastic domination of product measures, Journal of Theoretical Probability, 27(1), 22-40, (2014). [bibtex] [doi]
[15]Christoph Temmel, Sufficient conditions for uniform bounds in abstract polymer systems and explorative partition schemes, Journal of Statistical Physics, 157(6), 1225-1254, (2014). [bibtex] [doi]
[14]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]
[13]Tetiana Boiko, Potential theory on infinite trees and the unit disk, PhD thesis, TU Graz, (2014). [bibtex] [url]
[12]Alexander Bendikov, Alexander Grigor'yan, Christophe Pittet and Wolfgang Woess, Isotropic Markov semigroups on ultra-metric spaces, Rossiiskaya Akademiya Nauk. Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk, 69(4(418)), 3-102, (2014). (English original in Russian Math. Surveys 69(4), 589-680, (2014).) [bibtex] [doi]
[11]Franz Lehner and Stephan Wagner, Free lamplighter groups and a question of Atiyah, American Journal of Mathematics, 135(3), 835-849, (2013). [bibtex] [doi]
[10]Christoph Temmel, Properties and applications of Bernoulli random fields with strong dependency graphs, PhD thesis, TU Graz, (2012). [bibtex] [url]
[9]Pierre Mathieu and Christoph Temmel, K-independent percolation on trees, Stochastic Processes and their Applications, 122(3), 1129-1153, (2012). [bibtex] [doi]
[8]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]
[7]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]
[6]Wilfried Huss and Ecaterina Sava, Internal aggregation models on comb lattices, Electronic Journal of Probability, 17(30), 1-21, (2012). [bibtex] [doi]
[5]Elisabetta Candellero, Limit behaviors for random walks and branching random walks on some products of groups, PhD thesis, TU Graz, (2012). [bibtex] [url]
[4]Elisabetta Candellero, Lorenz Gilch and Sebastian Müller, Branching random walks on free products of groups, Proc. Lond. Math. Soc., 104(6), 1085-1120, (2012). [bibtex] [doi]
[3]Franz Lehner, A noncrossing basis for noncommutative invariants of SL$(2,{\mathbb C})$, Journal of Combinatorial Theory, 118(1), 257-269, (2011). [bibtex] [doi]
[2]Wilfried Huss and Ecaterina Sava, Rotor-router aggregation on the comb, Electronic Journal of Combinatorics, 18(1), paper 224, 23 pp., (2011). [bibtex] [url] [doi]
[1]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]