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age 26
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I'm a PhD student at the Department of Mathematics, University of Toronto.

Previously I studied mathematics, physics and computer science at University of Warsaw, where I obtained M. Sc. degree in mathematics.

My main interests are geometric group theory and discrete probability. I'm also interested in theoretical computer science, combinatorics and theoretical physics.


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
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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
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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
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Feb
17
revised Nonmonotonicity of expected distance of a random walk
added 17 characters in body
Feb
17
comment Nonmonotonicity of expected distance of a random walk
OK, an infinite graph... (I've edited the question)
Feb
17
asked Nonmonotonicity of expected distance of a random walk
Feb
4
answered Tutte polynomials of appropriate Cayley graphs