PreprintCC BY 4.0arXiv
Classification of Choquet-Deny Lie groups
Abstract
We characterize connected Lie groups on which all adapted random walks have only trivial bounded harmonic functions. In the nilpotent case, this answers a question of Furstenberg recorded by Guivarc'h in 1973.
Related
- Strongly Choquet-Deny groups and invariant strictly convex renormings
- Baire 1 functions and the strong Choquet property
- Isomorphic classification of the coordinate algebras of the two-parameter braided quantum groups SL2.
- Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
- Choquet-type extensions of set-pair functions, and applications in graph limits, hypergraphs, and metric measure spaces
BibTeX
@misc{benard2026classification,
title = {{Classification of Choquet-Deny Lie groups}},
author = {Timothée Bénard and Joshua Frisch},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11731},
eprint = {2609.11731},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11731},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Classification of Choquet-Deny Lie groups
AU - Timothée Bénard
AU - Joshua Frisch
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.11731
UR - https://arxiv.org/abs/2609.11731
AB - We characterize connected Lie groups on which all adapted random walks have only trivial bounded harmonic functions. In the nilpotent case, this answers a question of Furstenberg recorded by Guivarc'h in 1973.
ER -