@InProceedings{kumamoto_et_al:LIPIcs.AofA.2024.22, author = {Kumamoto, Shuma and Kijima, Shuji and Shirai, Tomoyuki}, title = {{The Recurrence/Transience of Random Walks on a Bounded Grid in an Increasing Dimension}}, booktitle = {35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024)}, pages = {22:1--22:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-329-4}, ISSN = {1868-8969}, year = {2024}, volume = {302}, editor = {Mailler, C\'{e}cile and Wild, Sebastian}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2024.22}, URN = {urn:nbn:de:0030-drops-204577}, doi = {10.4230/LIPIcs.AofA.2024.22}, annote = {Keywords: Random walk, dynamic graph, recurrence, transience, coupling} }