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arXiv · 2412.14712

On the localization regime of high-dimensional directed polymers in time-correlated random field

Jiaming Chen
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Abstract

This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field.

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Jiaming Chen. 2024-12-19. On the localization regime of high-dimensional directed polymers in time-correlated random field. https://arxiv.org/abs/2412.14712

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