Replica approach to the KPZ equation with the half Brownian motion initial condition

DOI10.1088/1751-8113/44/38/385001zbMath1227.82057arXiv1105.4659OpenAlexW3100359186MaRDI QIDQ3094775

Tomohiro Sasamoto, Takashi Imamura

Publication date: 27 October 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4659

zbMATH Keywords

Brownian motionFeynman-Kac formulaKadar-Parisi-Zhang (KPZ) equationreplica Bethe ansatz

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) PDEs in connection with statistical mechanics (35Q82)

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