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University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Self-avoiding walk in ∞ + 1 dimensions
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If you have a question about this talk, please contact Allan Lo. A self-avoiding walk in a graph is a path that visits each vertex at most once. Given an infinite, vertex-transitive graph, we are interested in the following questions: 1. How does the number of length-n self-avoiding walks started at the origin grow as a function of n? 2. What does a typical length-n self-avoiding walk look like? In this talk, I will show how these questions can be addressed for certain nonamenable graphs, with emphasis on the product T x Z of a 3-regular tree T with the integers Z. This talk is part of the Combinatorics and Probability Seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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