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# Erik Bates : The Busemann process of (1+1)-dimensional directed polymers

Directed polymers are a statistical mechanics model for random growth. Their partition functions are solutions to a discrete stochastic heat equation. This talk will discuss the logarithmic derivatives of the partition functions, which are solutions to a discrete stochastic Burgers equation. Of interest is the success or failure of the â??one force-one solution principleâ?ť for this equation. I will reframe this question in the language of polymers, and share some surprising results that follow. Based on joint work with Louis Fan and Timo SeppĂ¤lĂ¤inen.

**Category**: Probability**Duration**: 53:02**Date**: January 18, 2024 at 3:10 PM**Views**: 78-
**Tags:**seminar, Probability Seminar

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