Extends a superharmonic-function amenability test to group actions and applies it to Thompson's group F without resolving amenability.
Computational explorations in Thompson's group F
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abstract
We describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generating set, designed to address the subtle and difficult question whether or not Thompson's group is amenable. We also describe experiments to estimate the exponential growth rate of F and the rate of escape of symmetric random walks with respect to the standard generating set.
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math.GR 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Superharmonic functions on the Lamplighter graph of Thompson's group F
Extends a superharmonic-function amenability test to group actions and applies it to Thompson's group F without resolving amenability.