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

2011
[45]Serban Belinschi, Marek Bo\.zejko, Franz Lehner and Roland Speicher, The normal distribution is $\boxplus$-infinitely divisible, Adv. Math., 226(4), 3677-3698, (2011). [bibtex] [doi]
[44]Franz Lehner, A noncrossing basis for noncommutative invariants of SL$(2,{\mathbb C})$, J. Combin. Theory Ser. A, 118(1), 257-269, (2011). [bibtex] [doi]
[43]Wilfried Huss and Ecaterina Sava, Rotor-router aggregation on the comb, Electron. J. Combin., 18(1), paper 224, 23 pp., (2011). [bibtex] [url]
2012
[42]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]
[41]Elisabetta Candellero, Limit behaviors for random walks and branching random walks on some products of groups, PhD thesis, TU Graz, (2012). [bibtex] [url]
[40]Wilfried Huss and Ecaterina Sava, Internal aggregation models on comb lattices, Electron. J. Probab., 17(30), 1-21, (2012). [bibtex] [doi]
[39]Wilfried Huss and Ecaterina Sava, Transience and recurrence of rotor-router walks on directed covers of graphs, Electron. Commun. Probab., 17, paper 41, 13 pp., (2012). [bibtex] [doi]
[38]Wilfried Huss and Ecaterina Sava, The rotor-router group of directed covers of graphs, Electron. J. Combin., 19(3), paper 30, 19 pp., (2012). [bibtex] [url]
[37]Pierre Mathieu and Christoph Temmel, K-independent percolation on trees, Stochastic Process. Appl., 122(3), 1129-1153, (2012). [bibtex] [doi]
[36]Christoph Temmel, Properties and applications of Bernoulli random fields with strong dependency graphs, PhD thesis, TU Graz, (2012). [bibtex] [url]
2013
[35]Franz Lehner and Stephan Wagner, Free lamplighter groups and a question of Atiyah, Amer. J. Math., 135(3), 835-849, (2013). [bibtex] [doi]
2014
[34]Alexander Bendikov, Alexander Grigor'yan, Christophe Pittet and Wolfgang Woess, 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).) [bibtex] [doi]
[33]Tetiana Boiko, Potential theory on infinite trees and the unit disk, PhD thesis, TU Graz, (2014). [bibtex] [url]
[32]Johannes Cuno, Wilfried Imrich and Florian Lehner, Distinguishing graphs with infinite motion and nonlinear growth, Ars Math. Contemp., 7(1), 201-213, (2014). [bibtex] [url]
[31]Christoph Temmel, Sufficient conditions for uniform bounds in abstract polymer systems and explorative partition schemes, J. Stat. Phys., 157(6), 1225-1254, (2014). [bibtex] [doi]
[30]Christoph Temmel, Shearer's measure and stochastic domination of product measures, J. Theoret. Probab., 27(1), 22-40, (2014). [bibtex] [doi]
2015
[29]Octavio Arizmendi, Takahiro Hasebe, Franz Lehner and Carlos Vargas, Relations between cumulants in noncommutative probability, Adv. Math., 282, 56-92, (2015). [bibtex] [doi]
[28]Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori and Wolfgang Woess, Brownian motion on treebolic space: escape to infinity, Rev. Mat. Iberoam., 31(3), 935-976, (2015). [bibtex] [doi]
[27]Tetiana Boiko and Wolfgang Woess, Moments of Riesz measures on Poincaré disk and homogeneous tree - a comparative study, Expo. Math., 33(3), 353-374, (2015). [bibtex] [doi]
[26]Elisabetta Candellero and Matthew I. Roberts, The number of ends of critical branching random walks, ALEA Lat. Am. J. Probab. Math. Stat., 12(1), 55-67, (2015). [bibtex] [pdf]
[25]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]
[24]Johannes Cuno, Combinatorial and probabilistic aspects of discrete groups, PhD thesis, TU Graz, (2015). [bibtex] [pdf]
[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]
2016
[22]Bendikov, Alexander, Saloff-Coste, Laurent, Salvatori, Maura and Woess, Wolfgang, Brownian motion on treebolic space: positive harmonic functions, Ann. Inst. Fourier (Grenoble), 66(4), 1691–1731, (2016). [bibtex] [url]
[21]Tetiana Boiko, Johannes Cuno, Wilfried Imrich, Florian Lehner and Christiaan E. van de Woestijne, The Cartesian product of graphs with loops, Ars Math. Contemp., 11(1), 1-9, (2016). [bibtex] [url]
[20]Daniele D'Angeli, Alfredo Donno and Ecaterina Sava-Huss, Connectedness and isomorphism properties of the zig-zag product of graphs, J. Graph Theory, 83(2), 120–151, (2016). [bibtex] [doi]
2017
[19]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]
2018
[18]Johannes Cuno and Ecaterina Sava-Huss, Random walks on Baumslag-Solitar groups, Israel J. Math., 228(2), 627-663, (2018). [bibtex] [doi]
[17]Cygan, Wojciech and Kloas, Judith, On recurrence of the multidimensional Lindley process, Electronic Communications in Probability, 23(4), 1-14, (2018). [bibtex] [doi]
[16]Florian Lehner and Christoph Hofer-Temmel, Clique trees of infinite locally finite chordal graphs, Electronic Journal of Combinatorics, 25(1), (2018). (paper P2.9) [bibtex] [doi]
[15]Svenja Hüning, Wilfried Imrich, Judith Kloas, Hannah Schreiber and Thomas Tucker, Distinguishing locally finite trees, (2018). (submitted) [bibtex]
[14]Judith Kloas, Reflected and stopped random walks and the distinguishing number of graphs, PhD thesis, TU Graz, (2018). [bibtex] [pdf]
[13]Wiegel, Gundelinde Maria, 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]
2019
[12]Alexander Bendikov, Wojciech Cygan and Wolfgang Woess, Oscillating heat kernels on ultrametric spaces, J. Spectral Theory, 9(1), 195-226, (2019). [bibtex] [doi]
[11]Boiko, T. and Karpenkov, Oleg, Martin Integral Representation for Nonharmonic Functions and Discrete Co-Pizzetti Series, Math. Notes, 106, 659-673, (2019). [bibtex] [url] [doi]
[10]Kloas, Judith and Woess, Wolfgang, Multidimensional random walk with reflections, Stochastic Processes and their Applications, 129(1), 336-354, (2019). [bibtex] [doi]
[9]Peigné, Marc and Woess, Wolfgang, Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant, (2019). [bibtex]
[8]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]
2020
[7]Christian Lindorfer and Wolfgang Woess, The language of self-avoiding walks, Combinatorica, 40(5), 691–720, (2020). [bibtex] [doi]
[6]Lindorfer, Christian, A general bridge theorem for self-avoiding walks, Discrete Mathematics, Elsevier, 343(12), online, (2020). [bibtex] [doi]
[5]Müller, Sebastian and Wiegel, Gundelinde Maria, On transience of frogs on Galton–Watson trees, Electronic Journal of Probability, 25, Paper No. 152, 30, (2020). [bibtex] [doi]
[4]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]
[3]Gundelinde Wiegel, Random walks, frogs, and the cost of asymmetry, PhD thesis, TU Graz, (2020). [bibtex]
2021
[2]Lehner, Florian and Lindorfer, Christian, Comparing consecutive letter counts in multiple context-free languages, Theoretical Computer Science, 868, 1–5, (2021). [bibtex] [doi]
[1]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]