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Growth exponent for loop-erased random walk in 3 dimensions

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Loop-erased random walk (LERW) is a random simple path obtained from a random walk path by chronologically erasing all its loops, which was originally introduced by Greg Lawler. Since its appearance, the LERW has played an important role both in statistical physics and mathematics through its relation to the uniform spanning tree. In the present talk, I will explain some approach to the LERW via ergodic theory.

This talk is part of the Probability series.

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