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16
votes
5
answers
3k
views
Simple random walk on a locally finite graph: when is it recurrent?
I'm giving a talk tomorrow about a result in computer science which I recently proved. It's a recurrence-transience result on a random process which is related in spirit to a simple random walk. My re …
3
votes
2
answers
1k
views
Reference Request: Cover time for simple random walk on $n \times n$ torus
I'm putting the finishing touches on my masters thesis and need a reference for the following fact (which my advisor told me):
Let $G$ be the $n\times n$ grid and identify the sides to make it a t …
3
votes
1
answer
837
views
Transience of self avoiding random walks on $\mathbb{Z}^d$
I'm finishing up a masters thesis in computer science and want to say a bit in the introduction about self-avoiding walks. My thesis looks at a random process which arose in computer science and my ad …