Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically
DOI10.1080/10586458.2017.1353452zbMath1470.20021arXiv1608.06703OpenAlexW2963999150MaRDI QIDQ5743086
Cameron Rogers, Murray J. Elder
Publication date: 8 May 2019
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.06703
amenable groupreturn probabilityThompson's group \(F\)metropolis algorithmFølner functioncogrowth functionKesten's criterion
Exact enumeration problems, generating functions (05A15) Geometric group theory (20F65) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Asymptotic properties of groups (20F69)
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