### 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

#### Publications 2017

[237] | Topology of a class of p2-crystallographic replication tiles, Indagationes Mathematicae, 28(4), 805-823, (2017).
[bib] [arXiv] [doi/article] | ,

[236] | Asymptotic triangulations and coxeter transformations of the annulus, Glasgow Mathematical Journal, Cambridge University Press, 1-34, (2017).
[bib] | ,

[235] | Hermite subdivision on manifolds via parallel transport, Adv. Computat. Mathematics, (2017). (to appear)
[bib] [doi/article] | ,

[234] | On Exceptional Sets in the Metric Poissonian Pair Correlations problem, arXiv preprint, (2017).
[bib] [arXiv] | ,

[233] | Phase transitions in graphs on orientable surfaces, 47, (2017).
[bib] [arXiv] | ,

[232] | Distinguishing graphs of maximum valence 3, (2017). (arxiv:1709.05797)
[bib] [arXiv] | ,

[231] | Prescribing the binary digits of squarefree numbers and quadratic residues, Transactions of the American Mathematical Society, (2017). (to appear)
[bib] [arXiv] | ,

[230] | The maximal order of iterated multiplicative functions, arXiv preprint arXiv:1709.04799, (2017).
[bib] | ,

[229] | On recurrence of the multidimensional Lindley process, (2017). (submitted)
[bib] [arXiv] | ,

[228] | On semidiscrete constant mean curvature surfaces and their associated families, Monatsh. Math., 182, 537-563, (2017).
[bib] [doi/article] | ,

[227] | Oil and water: a two-type internal aggregation model, Annals of Probability, (2017). (to appear)
[bib] [arXiv] | ,

[226] | Perfect $k$-colored matchings and $k+2$-gonal tilings, In Proc. $33^{rd}$ European Workshop on Computational Geometry EuroCG '17, 81—84, (2017).
[bib] | ,

[225] | How does the core sit inside the mantle?, Random Structures and Algorithms, (2017). (to appear)
[bib] [arXiv] | ,

[224] | The minimum bisection in the planted bis*ection model, Theory of Computing, (2017). (to appear)
[bib] [arXiv] | ,

[223] | Diophantine equations and monodromy groups, Period. Math. Hungar., (2017). (to appear)
[bib] [arXiv] | ,

[222] | Constrained triangulations, volumes of polytopes, and unit equations, SoCG 2017, 46:1—46:15, (2017).
[bib] | ,

[221] | Diophantine equations in separated variables and lacunary polynomials, Int. J. Number Theory, (2017). (to appear)
[bib] [doi/article] | ,

[220] | On the regularity of primes in arithmetic progressions, Int. J. Number Theory, (2017).
[bib] [arXiv] [doi/article] | ,

[219] | On Erd\H os and Sárközy's sequences with Property P, Monatsh. Math., 182(3), 565—575, (2017).
[bib] [doi/article] | ,

[218] | Combinatorial Optimization Problems with Interaction Costs: Complexity and Solvable Cases, (2017). (Submitted)
[bib] [arXiv] | ,

[217] | Homological connectivity of random hypergraphs, (2017).
[bib] [arXiv] | ,

[216] | On functions of bounded variation, Mathematical proceedings of the Cambridge Philosophical Society, Cambridge University Press, 162(3), 405—418, (2017).
[bib] [doi/article] | ,

[215] | Higher frieze patterns, ArXiv e-prints, (2017).
[bib] [arXiv] | ,

#### Publications 2016

[214] | Space-filling curves of self-similar sets (I): iterated function systems with order structures, Nonlinearity, 29(7), 2112—2132, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[213] | Asymptotic triangulations and cluster algebras, PhD thesis, Karl-Franzens University Graz, (2016).
[bib] [doi/article] | ,

[212] | Asymptotic triangulations and Coxeter transformations of the annuli, (2016).
[bib] [arXiv] | ,

[211] | A Loewner Equation for Infinitely Many Slits, Computational Methods and Function Theory, 1—18, (2016).
[bib] [doi/article] | ,

[210] | On a Counting Theorem of Skriganov, (2016).
[bib] [arXiv] | ,

[209] | Computable Absolutely Normal Numbers and Discrepancies, (2016).
[bib] [arXiv] | ,

[208] | Explicit construction of companion bases, Glasg. Math. J., 58(2), 357—384, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[207] | $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds, SIAM J. Numer. Anal., 54(5), 3003—3031, (2016).
[bib] [MR] [doi/article] | ,

[206] | Pursuit evasion on infinite graphcs, Theoretical Computer Science, 655, Part A, 30-40, (2016).
[bib] [arXiv] [doi/article] | ,

[205] | Distinguishing graphs with intermediate growth, Combinatorica, 36, 333-347, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[204] | Multidimensional random walk with reflections, (2016). (submitted)
[bib] [arXiv] | ,

[203] | Cluster algebraic interpretation of infinite friezes, (2016).
[bib] [arXiv] | ,

[202] | Schanuel's theorem for heights defined via extension fields, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 15, 355—398, (2016).
[bib] [arXiv] [MR] | ,

[201] | Cubic graphs and related triangulations on orientable surfaces, (2016).
[bib] [arXiv] | ,

[200] | Diophantine equations with truncated binomial polynomials, Indag. Math., 27(1), 392-405, (2016).
[bib] [MR] [doi/article] | ,

[199] | Connectedness and isomorphism properties of the zig-zag product of graphs, J. Graph Theory, 83(2), 120—151, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[198] | Linear dependencies in discrete tomography, (2016). (submitted)
[bib] | ,

[197] | On a variant of Pillai's problem II, (2016). (sumitted)
[bib] [arXiv] | ,

[196] | On a variant of Pillai's problem, (2016). (to appear)
[bib] [arXiv] | ,

[195] | Multiplicative Ideal Theory and Factorization Theory, Springer Proceedings in Mathematics & Statistics, 170, (2016).
[bib] [doi/article] | ,

[194] | Linearizable special cases of the QAP, J. Comb. Optim., 31(3), 1269—1279, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[193] | Variational Laplacians for semidiscrete surfaces, Adv. Comput. Math., 42(6), 1491—1509, (2016).
[bib] [MR] [doi/article] | ,

[192] | A Laplace Operator on Semi-Discrete Surfaces, Found. Comput. Math., 16(5), 1115—1150, (2016).
[bib] [MR] [doi/article] | ,

[191] | The Cartesian product of graphs with loops, Ars Math. Contemp., 11(1), 1-9, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[190] | Existence of gradings on associative algebras, Comm. Algebra, 44(7), 3069—3076, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[189] | Brownian motion on treebolic space: positive harmonic functions, Ann. Inst. Fourier (Grenoble), 66(4), 1691—1731, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[188] | Strongness of companion bases for cluster-tilted algebras of finite type, (2016).
[bib] [arXiv] | ,

[187] | Transfinite mutations in the completed infinity-gon, (2016).
[bib] [arXiv] | ,

[186] | Growth behaviour of periodic tame friezes, (2016).
[bib] [arXiv] | ,

[185] | Infinite friezes, European J. Combin., 54, 220—237, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[184] | The fibres of the Scott map on polygon tilings are the flip equivalence classes, (2016).
[bib] [arXiv] | ,

[183] | Dimer models and cluster categories of Grassmannians, Proc. Lond. Math. Soc. (3), 113(2), 213—260, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[182] | Extensions between Cohen-Macaulay modules of Grassmannian cluster categories, (2016).
[bib] [arXiv] | ,

[181] | A geometric realization of tame categories, (2016).
[bib] [arXiv] | ,

[180] | Combinatorial and probabilistic properties of systems of numeration, Ergodic Theory Dynam. Systems, 36(2), 422—457, (2016).
[bib] [MR] [doi/article] | ,

[179] | Ruin theory with risk proportional to free reserve and securitization, Insurance / Mathematics & economics, Elsevier BV, 26, 59—73, (2016).
[bib] | ,

[178] | Multidimensional Heilbronn sets, (2016). (submitted)
[bib] [arXiv] | ,

[177] | Computable absolutely Pisot normal numbers, (2016). (submitted)
[bib] [arXiv] | ,

[176] | Compositions into Powers of $b$: Asymptotic Enumeration and Parameters, Algorithmica, 75(4), 606—631, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[175] | Linear recursive odometers and beta-expansions, Unif. Distrib. Theory, 11(1), 175—186, (2016).
[bib] [doi/article] | ,

[174] | The constant objective value property for multidimensional assignment problems, Discrete Optimization, 19, 23—35, (2016).
[bib] [MR] [doi/article] | ,

[173] | Threshold and hitting time for high-order connectedness in random hypergraphs, Electron. J. Combin., 23(2), Paper 2.48, 14, (2016).
[bib] [arXiv] [MR] [doi/article] | ,

[172] | The Kadec-Pełczyński theorem in $L^p$, $1\leq p<2$, Proc. Amer. Math. Soc., 144(5), 2053—2066, (2016).
[bib] [MR] [doi/article] | ,

[171] | Spatial equidistribution of binomial coefficients modulo prime powers, Unif. Distrib. Theory, 11(2), 151-161, (2016).
[bib] [doi/article] | ,

[170] | An extremal problem in uniform distribution theory, Uniform distribution theory, (2016).
[bib] | ,

[169] | On Weyl products and uniform distribution modulo one, (2016). (submitted)
[bib] [arXiv] | ,

[168] | Mutation of friezes, ArXiv e-prints, (2016).
[bib] [arXiv] | ,

#### Publications 2015

[167] | Space-filling curves of self-similar sets (II): From finite skeleton to substitution rule, (2015). (in preparation)
[bib] [arXiv] | ,

[166] | Regular sequences and random walks in affine buildings, Ann. Institut Fourier (Grenoble), 65(2), 675-707, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[165] | Shift Radix Systems and Their Generalizations, PhD thesis, MU Leoben, (2015).
[bib] [doi/article] | ,

[164] | Rational self-affine tiles, Transactions of the American Mathematical Society, 367(11), 7863—7894, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[163] | Normality in Pisot Numeration Systems, Ergodic Theory and Dynamical Systems, Cambridge University Press, 1-9, (2015).
[bib] [arXiv] [doi/article] | ,

[162] | Romanov's Theorem in Number Fields, (2015).
[bib] [arXiv] | ,

[161] | Local finiteness, distinguishing numbers, and Tucker's conjecture, Electronic Journal of Combinatorics, 22(4), (2015). (Research paper 19)
[bib] [arXiv] [MR] [doi/article] | ,

[160] | On common values of lacunary polynomials at integer points, New York J. Math., 21, 987—1001, (2015).
[bib] [MR] [doi/article] | ,

[159] | Measure density for set decompositions and uniform distribution, Rend. Circ. Mat. Palermo (2), 64(2), 323—339, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[158] | Florian Greinecker, PhD thesis, TU Graz, (2015).
[bib] [doi/article] | ,

[157] | On the 2-abelian Complexity of Thue-Morse Word, Theoret. Comput. Sci., 593, 88-105, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[156] | Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions, In Fractal Geometry and Stochastics V (Christoph Bandt et al., ed.), Birkhäuser Verlag, 70, 157-174, (2015).
[bib] [doi/article] | ,

[155] | Additive decompositions of sets with restricted prime factors, Trans. Amer. Math. Soc., 367(10), 7403—7427, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[154] | Hilbert cubes in arithmetic sets, Rev. Mat. Iberoam., 31(4), 1477—1498, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[153] | On conjectures and problems of Ruzsa concerning difference graphs of S-units, Acta Math. Hungar., 146, 391-404, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[152] | Random walks on Baumslag-Solitar groups, (2015). (submitted)
[bib] [arXiv] | ,

[151] | Combinatorial and probabilistic aspects of discrete groups, PhD thesis, TU Graz, (2015).
[bib] [doi/article] | ,

[150] | The Tits alternative for non-spherical triangles of groups, Trans. Lond. Math. Soc., 2(1), 93-124, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[149] | Well-solvable cases of the QAP with block-structured matrices, Discrete Appl. Math., 186, 56—65, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[148] | The number of ends of critical branching random walks, ALEA Lat. Am. J. Probab. Math. Stat., 12(1), 55-67, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[147] | Distributing many points on spheres: minimal energy and designs, J. Complexity, 31(3), 293-326, (2015). (Special issue for the Oberwolfach workshop on "Uniform distribution theory and applications")
[bib] [arXiv] [MR] [doi/article] | ,

[146] | Moments of Riesz measures on Poincaré disk and homogeneous tree - a comparative study, Expo. Math., 33(3), 353-374, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[145] | The asymptotic distribution function of the 4-dimensional shifted van der Corput sequence, Tatra Mt. Math. Publ., 64, 75—92, (2015).
[bib] [MR] [doi/article] | ,

[144] | On permutation-invariance of limit theorems, J. Complexity, 31(3), 372—379, (2015).
[bib] [MR] [doi/article] | ,

[143] | Lacunary series and stable distributions, Chapter in Mathematical statistics and limit theorems, Springer, Cham, 7—19, (2015). (P. Deheuvels festschrift)
[bib] [MR] [doi/article] | ,

[142] | Lacunary series and stable distributions, Springer, Cham, 7—19, (2015).
[bib] [MR] [doi/article] | ,

[141] | On the discrepancy and empirical distribution function of $\{n_k\alpha\}$, Uniform Distribution Theory, 10(1), 1-17, (2015).
[bib] [MR] [doi/article] | ,

[140] | Brownian motion on treebolic space: escape to infinity, Rev. Mat. Iberoam., 31(3), 935-976, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[139] | Change point detection with stable ${\rm AR}(1)$ errors, Chapter in Asymptotic laws and methods in stochastics, Fields Inst. Res. Math. Sci., Toronto, ON, 76, 179—193, (2015).
[bib] [MR] [doi/article] | ,

[138] | Algebraic $S$-integers of fixed degree and bounded height, Acta Arithmetica, 167(1), 67—90, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[137] | Factorization theory: from commutative to noncommutative settings, J. Algebra, 441, 475-551, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[136] | A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems, J. Algebra Appl., 14(2), 1550016, 60 pp., (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[135] | Relations between cumulants in noncommutative probability, Adv. Math., 282, 56-92, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[134] | On the characterization of Pethő's Loudspeaker, Publ. Math. Debrecen, 87(1--2), (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[133] | Characterization algorithms for shift radix systems with finiteness property, Int. J. Number Theory, 11(1), 211—232, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[132] | On shift radix systems over imaginary quadratic Euclidean domains, Acta Cybernet., 22(2), 485—498, (2015).
[bib] [MR] [doi/article] | ,

[131] | How does the core sit inside the mantle? (extended abstract), In Proc. European Conference on Combinatorics, Graph Theory and Applications (EuroComb15), (2015).
[bib] | ,

[130] | Dynamical systems and uniform distribution of sequences, (2015). (submitted)
[bib] [arXiv] | ,

[129] | Multi-Base Representations of Integers: Asymptotic Enumeration and Central Limit Theorems, Appl. Anal. Discrete Math., 9(2), 285—312, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[128] | A number theoretic problem on the distribution of polynomials with bounded roots, Integers, 15, Paper No. A10, 10, (2015).
[bib] [arXiv] [MR] | ,

[127] | Charaterisation of symmetries of unlabelled triangulations (extended abstract), In Proc. European Conference on Combinatorics, Graph Theory and Applications (EuroComb15), (2015).
[bib] | ,

[126] | The phase transition in multitype binomial random graphs, SIAM J. Discrete Math., 29(2), 1042—1064, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[125] | Properties of stochastic Kronecker graphs, J. Comb., 6(4), 395—432, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[124] | Bootstrap percolation in random $k$-uniform hypergraphs (extended abstract), In Proc. European Conference on Combinatorics, Graph Theory and Applications (EuroComb15), (2015).
[bib] | ,

[123] | Properties of stochastic Kronecker graphs, J. Comb., 6(4), 395—432, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[122] | Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials, Grazer Math. Ber., 363, 143—170, (2015).
[bib] [arXiv] | ,

[121] | Erratum to: Infinite motion and 2-distinguishability of graphs and groups, J. Algebraic Combin., 41(1), 123, (2015).
[bib] [MR] [doi/article] | ,

[120] | Infinite motion and 2-distinguishability of graphs and groups, J. Algebraic Combin., 41(1), 109—122, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[119] | Infinite motion and 2-distinguishability of graphs and groups, Journal of Algebraic Combinatorics, 41, 109-122, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[118] | Distribution functions, extremal limits and optimal transport, Indag. Math. (N.S.), 26(5), 823—841, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[117] | Canonical Trees, Compact Prefix-free Codes and Sums of Unit Fractions: A Probabilistic Analysis, SIAM J. Discrete Math., 29(3), 1600—1653, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[116] | Enumeration of cubic multigraphs on orientable surfaces (extended abstract), In Proc. European Conference on Combinatorics, Graph Theory and Applications (EuroComb15), (2015).
[bib] | ,

[115] | Geometric versions of the three-dimensional assignment problem under general norms, Discrete Optimization, 18, 38—55, (2015).
[bib] [arXiv] [MR] [doi/article] | ,

[114] | Tiling Groups with Difference Sets, The Electronic Journal of Combinatorics, 22(2), (2015).
[bib] [MR] [doi/article] | ,

[113] | Evolution of high-order connected components in random hypergraphs, Electronic Notes in Discrete Mathematics, 49, 569 - 575, (2015).
[bib] [doi/article] | ,

#### Publications 2014

[112] | On convergent interpolatory subdivision schemes in Riemannian Geometry, Constr. Approx., 40, 472-486, (2014).
[bib] [MR] [doi/article] | ,

[111] | Shearer's measure and stochastic domination of product measures, J. Theoret. Probab., 27(1), 22-40, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[110] | Sufficient conditions for uniform bounds in abstract polymer systems and explorative partition schemes, J. Stat. Phys., 157(6), 1225-1254, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[109] | Factorization theory in maximal orders, PhD thesis, KFU Graz, (2014).
[bib] [doi/article] | ,

[108] | Bounds on the radius and status of graphs, Networks, 64(2), 76-83, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[107] | Lacunary Series with Random Gaps, PhD thesis, TU Graz, (2014).
[bib] [doi/article] | ,

[106] | On lacunary series with random gaps, Acta Mathematica Hungarica, 144(1), 150-161, (2014).
[bib] [MR] [doi/article] | ,

[105] | Rauzy fractals and tilings, PhD thesis, Montanuniversität Leoben, (2014).
[bib] [doi/article] | ,

[104] | The geometry of non-unit Pisot substitutions, Ann. Inst. Fourier (Grenoble), 64(4), 1373—1417, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[103] | Tilings for Pisot beta numeration, Indagationes Mathematicae, 25(4), 745—773, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[102] | On spanning tree packings of highly edge connected graphs, Journal of Combinatorial Theory, Series B, 105, 93-126, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[101] | On factorizations of maps between curves, (2014). (preprint)
[bib] [arXiv] | ,

[100] | Rational function decomposition and Diophantine equations, PhD thesis, TU Graz, (2014).
[bib] [doi/article] | ,

[99] | Four point conditions for symmetric TSP: The complete classification, Discrete Optimization, 14, 147-159, (2014).
[bib] [MR] [doi/article] | ,

[98] | Endomorphism breaking in graphs, Electronic Journal of Combinatorics, 21, P1.16, 13pp., (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[97] | Optimal bounds for integrals with respect to copulas and applications, Journal of Optimization Theory and Applications, 161, 999-1011, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[96] | A general asymptotic scheme for the analysis of partition statistics, Combin. Probab. Comput., 23(6), 1057-1086, (2014).
[bib] [MR] [doi/article] | ,

[95] | Point sets of minimal energy, Chapter in Applied algebra and number theory (Gerhard Larcher et al., ed.), Cambridge Univ. Press, Cambridge, 109-125, (2014).
[bib] [doi/article] | ,

[94] | On sums of $S$-integers of bounded norm, Monatshefte für Mathematik, no. 175, 241-247, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[93] | Cyclically presented modules, projective covers and factorizations, Chapter in Ring theory and its applications (Dinh Van Huynh et al., ed.), Amer. Math. Soc., Providence, RI, 609, 89-106, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[92] | On Diophantine quintuples and $D(-1)$-quadruples, Monatshefte für Mathematik, 175, 227-239, (2014).
[bib] [MR] [doi/article] | ,

[91] | Stochastic aspects of nonlinear refinement schemes, SIAM Journal of Numerical Analysis, 52, 717-734, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[90] | Efficiently solvable special cases of multidimensional assignment problems, PhD thesis, TU Graz, (2014).
[bib] [doi/article] | ,

[89] | Planar 3-dimensional assignment problems with Monge-like cost arrays, (2014). (preprint)
[bib] [arXiv] | ,

[88] | Distinguishing graphs with infinite motion and nonlinear growth, Ars Math. Contemp., 7(1), 201-213, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[87] | Distinguishing graphs with infinite motion and nonlinear growth, Ars Mathematica Contemporanea, 7(1), 201-213, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[86] | A dynamical system approach to the Kakutani-Fibonacci sequence, Ergodic Theory Dynam. Systems, 34(6), 1794—1806, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[85] | Potential theory on infinite trees and the unit disk, PhD thesis, TU Graz, (2014).
[bib] [doi/article] | ,

[84] | On trigonometric sums with random frequencies, (2014). (submitted)
[bib] [doi/article] | ,

[83] | Uniform Distribution of Prime Powers, sets of Recurrence and van der Corput sets in ${\mathbb Z}^k$, Israel Journal of Mathematics, 201, 729-760, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[82] | Isotropic Markov semigroups on ultra-metric spaces, Uspekhi Mat. Nauk, 69(4(418)), 3-102, (2014). (English original in Russian Math. Surveys 69(4), 589-680, (2014).)
[bib] [arXiv] [MR] [doi/article] | ,

[81] | Asymptotic properties of trimmed sums and their applications in Analysis and Statistics, PhD thesis, TU Graz, (2014).
[bib] [doi/article] | ,

[80] | On the central limit theorem for modulus trimmed sums, Statistics & Probability Letters, 86, 61-67, (2014).
[bib] [MR] [doi/article] | ,

[79] | Trimmed stable AR(1) processes, Stochastic Processes and Applications, 124, 3441-3462, (2014).
[bib] [MR] [doi/article] | ,

[78] | Compactifying exchange graphs I: Annuli and tubes, Ann. Comb., 18(3), 383—396, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[77] | Torsion pairs and rigid objects in tubes, Algebr. Represent. Theory, 17(2), 565-591, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[76] | Counting lattice points and o-minimal structures, International Mathematics Research Notices, no. 2014, 4932-4957, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[75] | Counting algebraic integers of fixed degree and bounded height, Monatshefte für Mathematik, no. 175, 25-41, (2014).
[bib] [arXiv] [MR] [doi/article] | ,

[74] | The Number of Compositions into Powers of $b$, Chapter in 25th Int. Conf. Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'14), BA, 241-252, (2014).
[bib] [doi/article] | ,

[73] | On the Number of Multi-Base Representations of an Integer, Chapter in 25th Int. Conf. Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'14), BA, 229-240, (2014).
[bib] [doi/article] | ,

[72] | The asymptotic form of the sum $\sum_{i=0}^n i^p \binom{n+i}{i}$: two proofs, Utilitas Mathematica, 93, 3-23, (2014).
[bib] [MR] [doi/article] | ,

[71] | Shift radix systems - a survey, Chapter in Numeration and substitution 2012, Res. Inst. Math. Sci. (RIMS), Kyoto, 1-59, (2014).
[bib] [arXiv] [MR] | ,

[70] | Fast recognition of direct and strong products, Ars Math. Contemp., no. 7, 487-497, (2014).
[bib] [MR] [doi/article] | ,

[69] | Generalized Catalan sequences originating from the analysis of special data structures, Bull. Inst. Combin. Appl., 71, 103—116, (2014).
[bib] [MR] [doi/article] | ,

[68] | Generalized Catalan sequences originating from the analysis fo special data structures, Bulletin of the Institute of Combinatorics and its Applications, 71, 103—116, (2014).
[bib] [MR] [doi/article] | ,

#### Publications 2013

[67] | A note on cancellation in totally definite quaternion algebras, J. Reine Angew. Math., 707, 209-216, (2013).
[bib] [MR] [doi/article] | ,

[66] | Sets of lengths in maximal orders in central simple algebras, J. Algebra, 390, 1-43, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[65] | Patterns in rational base number systems, The Journal of Fourier Analysis and Applications, 19(2), 225—250, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[64] | Construction of Normal Numbers via Generalized Prime Power Sequences, Journal of Integer Sequences, 16(2), 13.2.12, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[63] | Random colorings and automorphism breaking in locally finite graphs, Combinatorics, Probability and Computing, 22(6), 885-909, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[62] | Diophantine equations with Euler polynomials, Acta Arithmetica, 161, 267—281, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[61] | Ergodic properties of $\beta$-adic Halton sequences, Ergodic Theory and Dynamical Systems, 35, 895—909, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[60] | The monotone catenary degree of Krull monoids, Results Math., 63(3-4), 999-1031, (2013).
[bib] [MR] [doi/article] | ,

[59] | Free lamplighter groups and a question of Atiyah, Amer. J. Math., 135(3), 835-849, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[58] | Clique trees of infinite locally finite chordal graphs, (2013). (submitted)
[bib] [arXiv] | ,

[57] | Sumsets being squares, Acta Mathematica Hungarica, 141(4), 353-357, (2013).
[bib] [doi/article] | ,

[56] | On gaps between primitive roots in the Hamming metric., Quarterly Journal of Mathematics, 64(4), 1043—1055, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[55] | Convergence of iterative schemes in metric spaces, Proceedings of the American Mathematical Society, 141, 677-686, (2013).
[bib] [MR] [doi/article] | ,

[54] | Uniqueness in quadratic and hyperbolic 0-1 programming problems, Operations Research Letters, 41, 633-635, (2013).
[bib] [arXiv] [doi/article] | ,

[53] | Factorization in the self-idealization of a PID, Boll. Unione Mat. Ital. (9), 6(2), 363-377, (2013).
[bib] [arXiv] [MR] | ,

[52] | Mean value property for nonharmonic functions, (2013). (preprint)
[bib] [arXiv] | ,

[51] | Counting lattice points, o-minimal structures and applications, PhD thesis, TU Graz, (2013).
[bib] [doi/article] | ,

[50] | Analysis of the Width-$w$ Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices, Theoretical Computer Science, 491, 47-70, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[49] | Digit Expansions with Applications in Cryptography, PhD thesis, Graz, University of Technology, (2013).
[bib] [doi/article] | ,

[48] | On linear combinations of units with bounded coefficients and double-base digit expansions, Monatshefte für Mathematik, 171(3-4), 377-394, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[47] | Evolution of a modified binomial random graph by agglomeration, (2013).
[bib] [arXiv] | ,

[46] | 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).
[bib] [arXiv] [MR] [doi/article] | ,

[45] | 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).
[bib] [arXiv] [MR] [doi/article] | ,

[44] | Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases, Journal of Number Theory, 133(5), 1752-1808, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[43] | Existence and Optimality of $w$-non-adjacent Forms with an Algebraic Integer Base, Acta Mathematica Hungarica, 140(1-2), 90-104, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[42] | Analysis of Parameters of Trees Corresponding to Huffman Codes and Sums of Unit Fractions, Chapter in Proceedings of the Meeting on Analytic Algorithmics & Combinatorics (ANALCO), New Orleans, Louisiana, USA, January 6, 2013, SIAM, 33-42, (2013).
[bib] [MR] [doi/article] | ,

[41] | Partial star products: a local covering approach for the recognition of approximate Cartesian product graphs, Math. Comput. Sci., 7(3), 255—273, (2013).
[bib] [MR] [doi/article] | ,

[40] | Sylow $p$-groups of polynomial permutations on the integers mod $p^n$, Journal of Number Theory, 133(12), 4188-4199, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[39] | The number of Huffman codes, compact trees, and sums of unit fractions, IEEE Transactions on Information Theory, 59, 1065-1075, (2013).
[bib] [arXiv] [MR] [doi/article] | ,

[38] | Boxicity and cubicity of product graphs, Chapter in The Seventh European Conference on Combinatorics, Graph Theory and Applications, Ed. Norm., Pisa, 16, 233—238, (2013).
[bib] [MR] [doi/article] | ,

#### Publications 2012

[37] | Properties and applications of Bernoulli random fields with strong dependency graphs, PhD thesis, TU Graz, (2012).
[bib] [doi/article] | ,

[36] | K-independent percolation on trees, Stochastic Process. Appl., 122(3), 1129-1153, (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[35] | The rotor-router group of directed covers of graphs, Electron. J. Combin., 19(3), paper 30, 19 pp., (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[34] | Transience and recurrence of rotor-router walks on directed covers of graphs, Electron. Commun. Probab., 17, paper 41, 13 pp., (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[33] | Internal aggregation models on comb lattices, Electron. J. Probab., 17(30), 1-21, (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[32] | The set of distances in Krull monoids, Bull. Lond. Math. Soc., 44(6), 1203-1208, (2012).
[bib] [MR] [doi/article] | ,

[31] | On rings of integers generated by their units, Bulletin of the London Mathematical Society, 44, 167-182, (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[30] | Hilbert cubes in progression-free sets and in the set of squares, Israel Journal of Mathematics, 192(1), 59-66, (2012).
[bib] [MR] [doi/article] | ,

[29] | Stochastic Aspects of Refinement Schemes on Metric Spaces, PhD thesis, TU Graz, (2012).
[bib] [doi/article] | ,

[28] | Limit behaviors for random walks and branching random walks on some products of groups, PhD thesis, TU Graz, (2012).
[bib] [doi/article] | ,

[27] | Branching random walks on free products of groups, Proc. Lond. Math. Soc., 104(6), 1085-1120, (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[26] | On equal values of power sums of arithmetic progressions, Glasnik Matematički, 47(2), 253—263, (2012).
[bib] [arXiv] [MR] | ,

[25] | A central limit theorem for Latin hypercube sampling with dependence and application to exotic basket option pricing, International Journal of Theoretical and Applied Finance, 15(7), 20, (2012).
[bib] [arXiv] [MR] [doi/article] | ,

[24] | On the system $f(nx)$ and probabilistic number theory. Analytic and probabilistic methods in number theory, In Proceedings of the 5th International Conference in honour of J. Kubilius held in Palanga, TEV, 1-18, (2012).
[bib] [arXiv] [MR] | ,

[23] | On the law of the iterated logarithm for permuted lacunary sequences, Proceedings of the Steklov Institute of Mathematics, 276(Teoriya Chisel, Algebra i Analiz), 3-20, (2012).
[bib] [arXiv] [MR] | ,

[22] | On permutations of lacunary series, Chapter in Functions in number theory and their probabilistic aspects, no. B34, 1-25, (2012).
[bib] [arXiv] [MR] | ,

[21] | 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).
[bib] | ,

[20] | Greedy trees, caterpillars, and Wiener-type graph invariants, MATCH. Communications in Mathematical and in Computer Chemistry, 68(1), 273-292, (2012).
[bib] [MR] [doi/article] | ,

#### Publications 2011

[19] | Nonextensibility of the pair $\lbrace 1, 3\rbrace$ to a Diophantine quintuple in ${\mathbb Z}[\sqrt{2}]$, Journal of Combinatorics and Number Theory, 3(3), 1-15, (2011).
[bib] [arXiv] [MR] | ,

[18] | Rotor-router aggregation on the comb, Electron. J. Combin., 18(1), paper 224, 23 pp., (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[17] | Sum of units in function fields II: The extension problem, Acta Arithmetica, 149(4), 361-369, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[16] | Sum of units in number fields and function fields, PhD thesis, TU Graz, (2011).
[bib] [doi/article] | ,

[15] | Non-unique factorization of polynomials over residue class rings of the integers, Communications in Algebra, 39(4), 1482-1490, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[14] | Sum of units in function fields, Monatshefte für Mathematik, 164(1), 39-54, (2011).
[bib] [arXiv] [doi/article] | ,

[13] | A noncrossing basis for noncommutative invariants of SL$(2,{\mathbb C})$, J. Combin. Theory Ser. A, 118(1), 257-269, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[12] | The normal distribution is $\boxplus$-infinitely divisible, Adv. Math., 226(4), 3677-3698, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[11] | Additive unit representations in rings over global fields -- A survey, Publicationes Mathematicae Debrecen, 79(3-4), 291-307, (2011).
[bib] [arXiv] [MR] | ,

[10] | On the asymptotic behavior of weakly lacunary sequences, Proceedings of the American Mathematical Society, 139, 2505-2517, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[9] | On permutations of Hardy-Littlewood-Pólya sequences, Transactions of the American Mathematical Society, 363, 6219-6244, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[8] | The Wiener maximum quadratic assignment problem, Discrete Optimization, 8, 411-416, (2011).
[bib] [arXiv] [MR] [doi/article] | ,

[7] | Shift radix systems for Gaussian integers and Pethő's loudspeaker, Publicationes Mathematicae Debrecen, 79(3-4), 341-356, (2011).
[bib] [MR] [doi/article] | ,

#### Publications 2010

[6] | On the Davenport constant and group algebras, Colloq. Math., 121(2), 179-193, (2010).
[bib] [arXiv] [MR] [doi/article] | ,

[5] | Dependence in Probability, Analysis and Number Theory, (István Berkes, Richard C. Bradley, Herold Dehling, Magda Peligrad, Robert Tichy, eds.), Kendrick Press, Heber City, UT, iv+353, (2010).
[bib] |

[4] | Lacunary sequences and permutations, In Dependence in Probability, Analysis and Number Theory (István Berkes, others, eds.), Kendrick Press, 35-49, (2010).
[bib] [arXiv] [MR] | ,

#### Publications to appear

[3] | Largest components in random hypergraphs, Combinatorics, Probability and Computing, (to appear).
[bib] [arXiv] | ,

[2] | The size of the giant component in random hypergraphs, Random Structures and Algorithms, (to appear).
[bib] [arXiv] | ,

[1] | Jigsaw percolation on random hypergraphs, Journal of Applied Probability, (to appear).
[bib] [arXiv] | ,