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arXiv · 2207.14091

Fluctuations of the winding number of a directed polymer on a cylinder

Yu Gu·Tomasz Komorowski
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Abstract

We prove a central limit theorem for the winding number of a directed polymer on a cylinder, which is equivalent with proving the Gaussian fluctuations of the endpoint of the directed polymer in a spatial periodic environment.

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Yu Gu, Tomasz Komorowski. 2022-07-28. Fluctuations of the winding number of a directed polymer on a cylinder. https://arxiv.org/abs/2207.14091

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