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Some properties of the true self-repelling motion

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In this talk, I will first recall the definition of the “true self repelling motion” (TSRM), a self-interacting one-dimensional process which has been constructed by Balint Toth and Wendelin Werner in 1998. Its construction uses a family of coalescing Brownian motions now called the “Brownian Web” which is interesting for its own sake and has been largely studied since. I will then show how to derive properties of the TSRM such as large deviation estimates or local fluctuations, using properties of this Brownian web.

This talk is part of the Probability series.

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