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Outputs (3)

Correction to “Anosov flows, growth rates on covers and group extensions of subshifts” (2024)
Journal Article
Dougall, R., & Sharp, R. (2024). Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”. Inventiones Mathematicae, 236(3), 1505-1509. https://doi.org/10.1007/s00222-024-01251-7

This note corrects an error in our paper Anosov flows, growth rates on covers and group extensions of subshifts, Invent. Math. 223:445–483, 2021. This leaves our main results, Theorem 1.1, Corollary 1.2, Theorem 1.3 and Theorem 5.1, unchanged. We als... Read More about Correction to “Anosov flows, growth rates on covers and group extensions of subshifts”.

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.