Fluctuations of the solutions to the KPZ equation in dimensions three and higher
Publication
, Journal Article
Dunlap, A; Gu, Y; Ryzhik, L; Zeitouni, O
Published in: Probability Theory and Related Fields
April 1, 2020
We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in $d≥ 3$ with a small coupling constant, driven by a white in time and colored in space noise, are given by the Edwards-Wilkinson model. This gives an alternative proof, that avoids perturbation expansions, to the results of Magnen and Unterberger (J Stat Phys 171:543–598, 2018).
Duke Scholars
Published In
Probability Theory and Related Fields
DOI
EISSN
1432-2064
ISSN
0178-8051
Publication Date
April 1, 2020
Volume
176
Issue
3-4
Start / End Page
1217 / 1258
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dunlap, A., Gu, Y., Ryzhik, L., & Zeitouni, O. (2020). Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Probability Theory and Related Fields, 176(3–4), 1217–1258. https://doi.org/10.1007/s00440-019-00938-w
Dunlap, Alexander, Yu Gu, Lenya Ryzhik, and Ofer Zeitouni. “Fluctuations of the solutions to the KPZ equation in dimensions three and higher.” Probability Theory and Related Fields 176, no. 3–4 (April 1, 2020): 1217–58. https://doi.org/10.1007/s00440-019-00938-w.
Dunlap A, Gu Y, Ryzhik L, Zeitouni O. Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Probability Theory and Related Fields. 2020 Apr 1;176(3–4):1217–58.
Dunlap, Alexander, et al. “Fluctuations of the solutions to the KPZ equation in dimensions three and higher.” Probability Theory and Related Fields, vol. 176, no. 3–4, Apr. 2020, pp. 1217–58. Manual, doi:10.1007/s00440-019-00938-w.
Dunlap A, Gu Y, Ryzhik L, Zeitouni O. Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Probability Theory and Related Fields. 2020 Apr 1;176(3–4):1217–1258.
Published In
Probability Theory and Related Fields
DOI
EISSN
1432-2064
ISSN
0178-8051
Publication Date
April 1, 2020
Volume
176
Issue
3-4
Start / End Page
1217 / 1258
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics