About amenability of subgroups of the group of diffeomorphisms of the interval
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groupamenabilitydiffeomorphismsintervalsubgroupsaveragingcontinuousdiff
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Averaging linear functional on the space continuous functions of the group of diffeomorphisms of interval is found. Amenability of several discrete subgroups of the group of diffeomorphisms $\Diff^3([0,1])$ of interval is prove. In particular, a solution of the problem of amenability of the Thompson's group $F$ is given.
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Cited by 1 Pith paper
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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.
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