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Fluctuation exponents of the KPZ equation on a large torus

Publication ,  Journal Article
Dunlap, A; Gu, Y; Komorowski, T
Published in: Communications on Pure and Applied Mathematics
November 2023

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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Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 2023

Volume

76

Issue

11

Start / End Page

3104 / 3149

Publisher

Wiley

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Dunlap, A., Gu, Y., & Komorowski, T. (2023). Fluctuation exponents of the KPZ equation on a large torus. Communications on Pure and Applied Mathematics, 76(11), 3104–3149. https://doi.org/10.1002/cpa.22110
Dunlap, Alexander, Yu Gu, and Tomasz Komorowski. “Fluctuation exponents of the KPZ equation on a large torus.” Communications on Pure and Applied Mathematics 76, no. 11 (November 2023): 3104–49. https://doi.org/10.1002/cpa.22110.
Dunlap A, Gu Y, Komorowski T. Fluctuation exponents of the KPZ equation on a large torus. Communications on Pure and Applied Mathematics. 2023 Nov;76(11):3104–49.
Dunlap, Alexander, et al. “Fluctuation exponents of the KPZ equation on a large torus.” Communications on Pure and Applied Mathematics, vol. 76, no. 11, Wiley, Nov. 2023, pp. 3104–49. Manual, doi:10.1002/cpa.22110.
Dunlap A, Gu Y, Komorowski T. Fluctuation exponents of the KPZ equation on a large torus. Communications on Pure and Applied Mathematics. Wiley; 2023 Nov;76(11):3104–3149.
Journal cover image

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 2023

Volume

76

Issue

11

Start / End Page

3104 / 3149

Publisher

Wiley

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics