On the two-point function of the one-dimensional KPZ equation

DOI10.1214/23-bjps576arXiv2208.14987OpenAlexW4386248929MaRDI QIDQ6137371

Leandro P. R. Pimentel, Sergio I. López

Publication date: 1 September 2023

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.14987

zbMATH Keywords

Malliavin calculustwo-point functionKPZ equation

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Height fluctuations for the stationary KPZ equation
• Solving the KPZ equation
• Stochastic Burgers and KPZ equations from particle systems
• Midpoint distribution of directed polymers in the stationary regime: exact result through linear response
• Brownian analogues of Burke's theorem.
• The continuum directed random polymer
• The KPZ fixed point
• Integration by parts and the KPZ two-point function
• Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Fluctuation exponent of the KPZ/stochastic Burgers equation
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Dynamic Scaling of Growing Interfaces
• Introduction to Malliavin Calculus
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• Another look at the Balázs-Quastel-Seppäläinen theorem
• Localization length of the \(1+1\) continuum directed random polymer

This page was built for publication: On the two-point function of the one-dimensional KPZ equation