Michal Kotowski
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 May 10 awarded Nice Question May 10 awarded Yearling May 10 asked Human Knot game Oct 18 comment Actions of amenable groups on graphs with uncountably many ends Thanks for the example. But still the question remains - can I have a Schreier graph with uncountably many ends to start with? Oct 18 comment Actions of amenable groups on graphs with uncountably many ends Why? In any case, that's what I'm assuming - both $G$ and $S$ are amenable. Oct 18 comment Actions of amenable groups on graphs with uncountably many ends Right, $H$ doesn't have to be normal. I've edited the question. Oct 18 revised Actions of amenable groups on graphs with uncountably many ends deleted 13 characters in body Oct 18 comment Actions of amenable groups on graphs with uncountably many ends Sorry, you are right, of course the action is not by isometries, I've edited the question. So the action doesn't preserve the graph structure. Oct 18 revised Actions of amenable groups on graphs with uncountably many ends deleted 111 characters in body Oct 18 comment Actions of amenable groups on graphs with uncountably many ends @YCor: I think of $S$ as being a graph with edges (and possibly loops) labelled by generators of $G$, and $G$ acting by isometries (by moving the vertices along the labelled arrows). Does that clarify what I mean here? Oct 18 revised Actions of amenable groups on graphs with uncountably many ends added 14 characters in body Oct 18 asked Actions of amenable groups on graphs with uncountably many ends Jul 2 awarded Curious May 11 comment Regularity of polynomial growth of groups @YvesCornulier: any reference for that? May 11 asked Regularity of polynomial growth of groups Mar 19 awarded Popular Question Feb 18 comment Nonmonotonicity of expected distance of a random walk A nice example. But somehow this is still not what I had in mind, see the edit in the question. Feb 18 revised Nonmonotonicity of expected distance of a random walk added 733 characters in body Feb 17 revised Nonmonotonicity of expected distance of a random walk added 17 characters in body Feb 17 revised Nonmonotonicity of expected distance of a random walk added 17 characters in body