A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups
(2024)
Journal Article
Dougall, R., & Sharp, R. (2024). A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups. International Mathematics Research Notices, 2024(7), 6209-6223. https://doi.org/10.1093/imrn/rnae014
We consider random walks on countable groups. A celebrated result of Kesten says that the spectral radius of a symmetric walk (whose support generates the group as a semigroup) is equal to one if and only if the group is amenable. We give an analogue... Read More about A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups.