Geodesic
On the spectrum of asymptotic entropies of random walks
Omer Tamuz1 orcid ; Tianyi Zheng2 orcid
1California Institute of Technology, Pasadena, USA
2University of California, San Diego, La Jolla, USA
Groups, geometry, and dynamics, Tome 19 (2025) no. 3, pp. 879-897

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DOI

Given a random walk on a free group, we study the random walks it induces on the group’s quotients. We show that the spectrum of asymptotic entropies of the induced random walks has no isolated points, except perhaps its maximum.
DOI : 10.4171/ggd/798
Classification : 20F69
Mots-clés : random walks on groups, Avez entropy

Omer Tamuz  1   ; Tianyi Zheng  2

1 California Institute of Technology, Pasadena, USA
2 University of California, San Diego, La Jolla, USA 
Omer Tamuz; Tianyi Zheng. On the spectrum of asymptotic entropies of random walks. Groups, geometry, and dynamics, Tome 19 (2025) no. 3, pp. 879-897. doi: 10.4171/ggd/798
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     title = {On the spectrum of asymptotic entropies of random walks},
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     year = {2025},
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     number = {3},
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