Fluctuation exponents of the KPZ equation on a large torus

We study the one‐dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super‐relaxation regime and part of the relaxation regime.

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Veröffentlicht in:Communications on pure and applied mathematics 2023-11, Vol.76 (11), p.3104-3149
Hauptverfasser: Dunlap, Alexander, Gu, Yu, Komorowski, Tomasz
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container_title Communications on pure and applied mathematics
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creator Dunlap, Alexander
Gu, Yu
Komorowski, Tomasz
description We study the one‐dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super‐relaxation regime and part of the relaxation regime.
doi_str_mv 10.1002/cpa.22110
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title Fluctuation exponents of the KPZ equation on a large torus
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