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Asymptotics of the first-passage function on free and Fuchsian groups

Petr Kosenko

Annals of Probability2026https://doi.org/10.1214/25-aop1773article
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Abstract

We derive explicit estimates for the asymptotics of the first-passage function for random walks on free groups supported on the powers of standard generators, and use them to prove the singularity of the hitting measure for a similarly defined class of random walks on Fuchsian groups.

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https://doi.org/https://doi.org/10.1214/25-aop1773

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@article{petr2026,
  title        = {{Asymptotics of the first-passage function on free and Fuchsian groups}},
  author       = {Petr Kosenko},
  journal      = {Annals of Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1214/25-aop1773},
}

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Asymptotics of the first-passage function on free and Fuchsian groups

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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