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- W2963166552 abstract "The entropy, the spectral radius and the drift are important numerical quantities associated to random walks on countable groups. We prove sharp inequalities relating those quantities for walks with a finite second moment, improving upon previous results of Avez, Varopoulos, Carne, Ledrappier. We also deduce inequalities between these quantities and the volume growth of the group. Finally, we show that the equality case in our inequality is rather rigid." @default.
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- W2963166552 date "2015-01-01" @default.
- W2963166552 modified "2023-10-18" @default.
- W2963166552 title "Sharp lower bounds for the asymptotic entropy of symmetric random walks" @default.
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- W2963166552 doi "https://doi.org/10.4171/ggd/325" @default.
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