The intermediate disorder regime for stable directed polymer in Poisson environment

Min Wang

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arXiv · 2401.04459

The intermediate disorder regime for stable directed polymer in Poisson environment

Min Wang

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Abstract

We consider the stable directed polymer in Poisson random environment in dimension 1+1, under the intermediate disorder regime. We show that, under a diffusive scaling involving different parameters of the system, the normalized point-to-point partition function of the polymer converges in law to the solution of the stochastic heat equation with fractional Laplacian and Gaussian multiplicative noise.

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Min Wang. 2024-01-09. The intermediate disorder regime for stable directed polymer in Poisson environment. https://arxiv.org/abs/2401.04459

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