Austrian Science Fund (FWF) project P 24028-N18

"Hyperbolic Structures in Stochastics, Geometry, and Topology"

Project publications acknowledging full or partial support

1. W. Cygan and J. Kloas: "On recurrence of the multidimensional Lindley process", preprint (2017). arXiv:1707.01714


2. J. Kloas and W. Woess: "Multidimensional random walk with reflections", preprint (2016/17). arXiv:1704.06055


3. W. Cygan and T. Grzywny: "A note on the generalized heat content for Lévy processes", preprint (2017). arXiv:1703.10790


4. A. Bendikov and W. Cygan: "On the rate of convergence in the central limit theorem for the hierarchical Laplacian", preprint (2017). arXiv:1702.05892


5. A. Bendikov, W. Cygan and W. Woess: "Oscillating heat kernels on ultrametric spaces", J. Spectral Theory, in print. arXiv:1610.03292


6. W. Cygan and T. Grzywny: "Heat content for convolution semigroups", J. Math. Anal. Appl. 446 (2017) 1393-1414. DOI: 10.1016/j.jmaa.2016.09.051, arXiv:1606.09168


7. I. Bondarenko, D. D'Angeli and T. Nagnibeda: "Ends of Schreier graphs and cut-points of limit spaces of self-similar groups", Journal of Fractal Geometry, in print. arXiv:1601.07587


8. D. D'Angeli, A. Donno and A. Monti: "Computing the Wiener index in finite Sierpinski carpet graphs", AIP Conference Proceedings, ICNAAM 2015, Rhodes, Greece 23-29/09/2015, in press.


9. J. Cuno and E. Sava-Huss: "Random walks on Baumslag-Solitar groups", preprint, under revision for Israel J. Math. (2015). arXiv:1510.00833


10. A. Bendikov, W. Cygan and B. Trojan: "Limit theorems for random walks", Stochastic Processes Appl., in print., available online. DOI: 10.1016/j.spa.2017.02.008, arXiv:1504.01759


11. I. Bondarenko, D. D'Angeli and E.Rodaro: "The lamplighter group Z_3 ≀ Z generated by a bireversible automaton", Communications in Algebra Comm. Algebra 44 (2016) 5257-5268. DOI: 10.1080/00927872.2016.1172602, arXiv:1502.07981


12. D. D'Angeli and A. Donno, "Metric compactification of infinite Sierpinski carpet graphs", Discrete Math. 339 (2016), 2693-2705. DOI: 10.1016/j.disc.2016.04.023, arXiv:1501.03178


13. W. Huss, S. Müller, E. Sava-Huss: "Rotor-routing on Galton-Watson trees", Electronic Communications in Probability 20 (2015); 1-12. DOI: 10.1214/ECP.v20-4000, arXiv:1412.5330


14. A. Bendikov, L. Saloff-Coste, M. Salvatori and W. Woess: "Brownian motion on treebolic space: positive harmonic functions", Ann. Institut Fourier (Grenoble) 66 (2016) 1691-1731. DOI: 10.5802/aif.3048, arXiv:1412.2218


15. D. D'Angeli and E. Rodaro: "Freeness of automata groups vs boundary dynamics", Journal of Algebra 462 (2016) 115-136. DOI: 10.1016/j.jalgebra.2016.05.015, arXiv:1410.6097


16. D. D'Angeli and A. Donno: "Isomorphism classification of infinite Sierpinski carpet graph", in: Proceedings of the First Minisymposium on Mathematics in Engineering and Technology, ICNAAM 2014. In Press.


17. A. Georgakopoulos, K. Kolesko: "Brownian Motion on graph-like spaces", preprint (2014). arXiv:1405.6580


18. D. D'Angeli, E. Sava-Huss and A. Donno: "Connectedness and isomorphism problems of the zig-zag product of graphs", Journal of Graph Theory 83 (2016), 120-151. DOI: 10.1002/jgt.21917, arXiv:1404.4342


19. D. D'Angeli and E. Rodaro: "A geometric approach to (semi)groups defined by automata via dual transducers", Geometriae Dedicata 174 (2015) 375-400. DOI: 10.1007/s10711-014-0024-x, arXiv:1403.1722


20. D. D'Angeli: "Horofunctions on Sierpinski type triangles", to appear in Utilitas Mathematica.


21. D. D'Angeli and E. Rodaro: "Groups and Semigroups Defined by Colorings of Synchronizing Automata", International Journal of Algebra and Computation 46 (2014) 201-214. DOI: 10.1142/S0218196714500337, arXiv:1310.5242


22. A. Georgakopoulos, S. Haeseler, M. Keller, D. Lenz, R. K. Wojciechowski: "Graphs of finite measure", J. Math. Pures Appl. 103 (2015) 1093–1131. DOI: 10.1016/j.matpur.2014.10.006, arXiv:1309.3501


23. J. Parkinson and W. Woess: "Regular sequences and random walks in affine buildings", Ann. Institut Fourier (Grenoble) 65 (2015) 675-707. DOI: 10.5802/aif.2941, arXiv:1308.5120


24. A. Bendikov, A. Grigor'yan, Ch. Pittet and W. Woess: "Isotropic Markov semigroups on ultra-metric spaces", Uspekhi Mat. Nauk 69 (2014) No. 4 (418), 3-102 (Russian version). English original in Russian Math. Surveys 69 (2014) No. 4, 589-680. DOI: 10.1070/RM2014v069n04ABEH004907, arXiv:1304.6271


25. A. Georgakopoulos, S. Wagner: "Hitting times, cover cost, and the Wiener index of a tree", Journal of Graph Theory 84 (2017) 311–326. DOI: 10.1002/jgt.22029, arXiv:1302.3212


26. A. Georgakopoulos: "The boundary of a square tiling of a graph coincides with the Poisson boundary", Inventiones Math. 203 (2016) 773-821. DOI: 10.1007/s00222-015-0601-0, arXiv:1301.1506


27. A. Bendikov, L. Saloff-Coste, M. Salvatori and W. Woess: "Brownian motion on treebolic space: escape to infinity", Revista Matematica Iberoamericana 31 (2015) 935–976. DOI: 10.4171/RMI/859, arXiv:1212.6151


28. D. D'Angeli: "Schreier graphs of an extended version of the binary adding machine", Electronic Journal of Combinatorics 21 (2014), no. 4, paper 4.20. Link to journal article.


29. G. Chacon, R. Colucci and D. D'Angeli: "Recurrence analysis on Julia sets of semigroups of complex polynomials", Journal of Applied Mathematics and Computing 46 (2014) 201-214. DOI: 10.1007/s12190-013-0746-1


30. G. Chacon, R. Colucci and D. D'Angeli: "Density of backward branches on the Julia set of a semigroup, "Sarajevo Journal of Mathematics" Vol. 10(22) (2014) 77-87. DOI: 10.5644/SJM.10.1.10


31. A. Georgakopoulos: "On walk-regular graphs and graphs with symmetric hitting times", preprint (2012). arXiv:1211.5689


32. I. Benjamini, N. Curien, A. Georgakopoulos: "The Liouville and the intersection properties are equivalent for planar graphs", Electron. Commun. Probab. 17 (2012) 1-5. DOI: 10.1214/ECP.v17-1913, arXiv:1203.4002