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Recent advances on the loop-erased walk

Duke Math Probability Seminar
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Thursday, November 14, 2019
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3:15 pm - 4:15 pm
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Greg Lawler (Chicago)
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Probability Seminar

The loop-erased walk is the process obtained be erasing loops chronologically from a simple random walk. It is closely related to a number of processes including uniform spanning trees. I will give a survey of recent (last five years or so) progress on this process obtained with a number of co-authors. I will try to make this talk accessible at a "colloquium" level.