Austrian Science Fund (FWF) project P31889-N35

"Walks and Boundaries - a Wide Range"

Project publications and conference/seminar talks

Project publications acknowledging full or partial support

1. V. A. Kaimanovich and W. Woess: "Limit distributions of branching Markov chains", Annales Inst. H. Poincaré Prob. & Stat. 59, No 4 (2023) 1951-1983. DOI: 10.1214/22-AIHP1344 , arXiv:2205.13615


2. Ch. Lindorfer and F. Lehner: "Self-avoiding walks and multiple context-free languages", Combinatorial Theory 3, issue 1 (2023), article no. 18, 50 pp. DOI: 10.5070/C63160431 , arXiv:2010.06974


3. M. Björklund, Y. Hartman and H. Oppelmayer: "Kudo-continuity of conditional entropies," Annales Inst. H. Poincaré Prob. & Stat. 59, No 3 (2023) 1677-1687. DOI: 10.1214/22-AIHP1313 , arXiv:2002.06647


4. F. Lehner: "Universal planar graphs for the topological minor relation", Combinatorica (2023) online. DOI: 10.1007/s00493-023-00073-0 , arXiv:2203.03477


5. A. Gutierrez, S. Müller and S. Šebek: "On asymptotic fairness in voting with greedy sampling", Advances in Applied Probability 55 , Issue 3 (2023) 999-1032. DOI: 10.1017/apr.2022.63 , arXiv:2101.11269


6. W. Cygan, N. Sandrić and S. Šebek: "Invariance principle for the capacity and the cardinality of the range of stable random walks", Stochastic Processes and their Applications 163 (2023) 61-84. DOI: 10.1016/j.spa.2023.05.012 , arXiv:1910.09831


7. A. Muranova and W. Woess: "Networks with complex weights: Green function and power series", mdpi Mathematics 2022, 10, 820, 20pp. DOI: 10.3390/math10050820 , arXiv:2201.09085


8. J.Erde and F. Lehner: "Hamiltonian decompositions of 4-regular Cayley graphs of infinite abelian groups", Journal of Graph Theory 101, no 3 (2022) 559-571, DOI: 10.1002/jgt.22840 , arXiv:2006.09759


9. W. Woess: "Ratio limits and Martin boundary", Documenta Math. 26 (2021) 1501-1528. DOI: 10.4171/DM/847 , arXiv:2104.11477


10. Th. Hirschler and W. Woess: "Laplace and bi-Laplace equations for directed networks and Markov chains ", Expositiones Math. 39 (2021) 271-301. DOI: 10.1016/j.exmath.2021.04.001 , arXiv:2104.01368


11. H. Oppelmayer: "Boundary entropy spectra as finite subsums", Stochastics and Dynamics 21 (2021), no. 6, Paper No. 2150038, 13 pp. DOI: 10.1142/S0219493721500386 , arXiv:2007.04811


12. Ch. Lindorfer and F. Lehner: "Comparing consecutive letter counts in multiple context-free languages", Theoretical Computer Science 868 (2021) 1-5. DOI: 10.1016/j.tcs.2021.03.034 , arXiv:2002.08236


13. W. Cygan, N. Sandrić and S. Šebek: "Limit theorems for a stable sausage", Stochastics and Dynamics (2021), no. 7, Paper No. 2150041, 44 pp. DOI: 10.1142/S0219493721500416 , arXiv:2001.10453


14. W. Cygan and S. Šebek: "Transition probability estimates for subordinate random walks", Mathematische Nachrichten 294 (2021), no. 3, 518-558. DOI: 10.1002/mana.201900065 , arXiv:2001.10453


15. M. Peigné and W. Woess: "Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant", Annals of Applied Probability 31 (2021) 2519-2537. DOI: 10.1214/20-AAP1654 , arXiv:1909.00616


16. W. Cygan, N. Sandrić and S. Šebek: "Functional CLT for the range of stable random walks", Bulletin of the Malaysian Mathematical Sciences Society 44 (2021) 1371-1386. DOI: 10.1007/s40840-020-01019-1 , arXiv:1908.07872


17. E. Sava-Huss and W. Woess: "Boundary behaviour of λ-polyharmonic functions on regular trees", Annali Mat. Pura Appl. 200 (2021) 35-50. DOI: 10.1007/s10231-020-00981-8 , arXiv:1904.10290 (first version)


18. F. Lehner and G. Verret: "Counterexamples to 'A Conjecture on Induced Subgraphs of Cayley Graphs'", Ars Mathematica Contemporanea 19 (2020) 77-82. DOI: 10.26493/1855-3974.2301.63f , arXiv:2004.01327


19. Ch. Lindorfer and W. Woess: "The language of self-avoiding walks", Combinatorica 40 (2020) 691-720. DOI: 10.1007/s00493-020-4184-z , arXiv:1903.02368


20. Ch. Lindorfer: "A general bridge theorem for self-avoiding walks". Discrete Math. 343, no. 5 (2020) 691-720. DOI: 10.1016/j.disc.2020.112092 , arXiv:1902.08493

Project related talks in conferences/seminars

1. W. Woess: ``λ-Polyharmonic functions on trees: integral representation and boundary value problems'', seminar talk, University of Ottawa, Canada, May 2019.


2. W. Woess: ``The language of self-avoiding walks'', Math. Colloquium, Univ. Reykjavik, Iceland, June 2019.


3. W. Woess: ``Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant'', conference of the Austrian Math. Society (ÖMG), Dornbirn, Austria, September 2019.


4. W. Woess: ``Boundary representations of λ-harmonic and polyharmonic functions on trees'', Conference (co-organised by W. Woess) on Geometric Analysis and Potential Theory - Discrete and Continuous, Perugia, Italy, February 2020.


5. S. Šebek: ``Central limit theorem for a stable sausage'', 8th Austrian Stochastics Days, Graz, Austria, September 2020.


6. H. Oppelmayer: ``Random walks on dense subgroups of totally disconnected locally compact groups'', ENS Group Theory Seminar, École Normale Supèrieure, Paris, France, online, March 2021."


7. F. Lehner: ``Formal languages and self avoiding walks'', Discrete Mathematics Seminar, AGH Univ. Krakow, online, May 2021


8. W. Woess: ``Boundary behaviour of λ-polyharmonic functions on regular trees'', Convegno nazionale di Analisi Aromonica, Italy, online, May 2021.


9. S. Šebek: ``Limit theorems for a stable sausage'', Non-local operators, probability and singularities, online seminar, Wroclaw University of Science and Technology, Poland, June 2021.


10. F. Lehner, Ch. Lindorfer, W. Woess: ``The language of self-avoiding walks'', online poster presentation at the conference Lattice Paths, Combinatorics and Interactions, CIRM, Luminy, France, June 2021.


11. W. Woess: ``The language of self-avoiding walks, part I'', online talk at the British Combinatorial Conference, July 2021.


12. Ch. Lindorfer: ``The language of self-avoiding walks, part II'', online talk at the British Combinatorial Conference, July 2021.


13. F. Lehner: ``Folding polyominoes into cubes'', Geometry Colloquium, Graz, Austria, August 2021.


14. W. Woess: ``Boundary behaviour of branching Markov chains'', 9th Austrian Stochastics Days, Leoben, Austria, September 2021.


15. W. Woess: ``The language of self-avoiding walks'', online talk at the joint comgress of DMV and \"OMG, September 2021.


16. Ch. Lindorfer: ``Pumping in multiple context-free languages'', online talk, Discrete Mathematics Day, Graz University of Technology, Austria, December 2021.


17. W. Woess: ``Ratio limits and Martin boundary'', North British Geometric Group Theory Seminar, Durham, UK, April 2022.


18. H. Oppelmayer: ``Random walk boundaries on Hecke pairs'', Conference on Operator Algebras and Group Dynamics, CIRM, Luminy, France, May 2022.


19. H. Oppelmayer: ``Random walks in view of commensurated subgroups'', Group Theory Midrasha, Weizmann Institute, Israel, May 2022.


20. W. Woess: ``Self-avoiding walks and formal languages'', seminar talk, Univ. Tours, France, June 2022.


21. Ch. Lindorfer: ``The language of self-avoiding walks'', seminar talk, Maribor Graph Theory Conference, Slovenia, September 2022.


22. Ch. Lindorfer: ``The language of self-avoiding walks'', seminar talk, Univ Geneva, Switzerland, September 2022.


23. W. Woess: ``Boundary behaviour of branching Markov chains'', seminar talk, Univ. Innsbruck, October 2022.


24. W. Woess: ``Polyharmonic functions on the Poincaré disk'', online talk, Seminari a distanza di Analisi armonica, Padova, Italy, December 2022.


25. Ch. Lindorfer: ``The language of self-avoiding walks'', seminar talk, University of Auckland, New Zealand, March 2023.


26. W. Woess: ``Boundary behaviour of branching Markov chains'', seminar talk, Univ. Frankfurt, Germany, May 2023.


27. W. Woess: ``Polyharmonic functions on the Poincaré disk'', conference of the Austrian Math. Society (ÖMG), Graz, Austria, September 2023.


28. W. Woess: ``Boundary behaviour of branching Markov chains'', seminar talk, Univ. Milano-Bicocca, September 2023.


29. F. Lehner: ``Tree structure, formal languages, and self-aoiding walks'', CMSA Seminar, online, September 2023.


30. W. Woess: ``Polyharmonic potential pheory on the Poincaré disk'', seminar talk, Univ. degli Studi di Milano, September 2023.


31. F. Lehner: ``Self-avoiding walks on graphs with infinitely many ends'', New Zealand Mathematical Society Colloquium, Wellington, New Zealand, December 2023.


32. F. Lehner: ``Self-avoiding walks on graphs with infinitely many ends'', 45th Australasian Combinatorics Conference, Perth, Australia, December 2023.