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Results tagged with random-walks
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user 41827
2
votes
Does entropy of the random walk control the return probability
Too long for a comment, but I wanted to mention that we encountered some related issues in my recent preprint with Noah Halberstam https://arxiv.org/abs/2203.01540 and thought that the work-arounds we …
- 775
4
votes
Accepted
Speed and absence of non-constant bounded harmonic functions
Here is an alternative simple proof (without any entropy) of non-Liouville $\Rightarrow$ positive speed using some of the theory of the Martin boundary/positive harmonic functions. It's quite high-lev …
- 775
1
vote
Accepted
Which infinite random graphs with percolation threshold $p_c=0$ are transient?
I will first construct a simple deterministic example of a recurrent graph with $p_c^\mathrm{site}=0$ and then show how it can be modified to be a unimodular random rooted graph (see e.g. Nicolas Curi …
- 775