Fluctuation Exponents of the KPZ equation on a large torus
arXiv:2111.03650 · doi:10.1002/cpa.22110
Abstract
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.
arXiv commentv2, minor revision, 34 pages, 2 figures, final version
References in corpus (14)
- Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
- The one-dimensional KPZ equation: an exact solution and its universality
- The one-dimensional KPZ equation and its universality class
- Exact height distributions for the KPZ equation with narrow wedge initial condition
- Exponential functionals of Brownian motion, I: Probability laws at fixed time
- The KPZ fixed point
- KPZ reloaded
- Directed polymers and the quantum Toda lattice
- Ground state energy of a non-integer number of particles with delta attractive interactions
- Exponential functionals of Brownian motion and class-one Whittaker functions
- TASEP on a ring in sub-relaxation time scale
- Survival probability of a Brownian motion in a planar wedge of arbitrary angle
- Integral formulas of ASEP and -TAZRP on a ring
- High temperature behaviors of the directed polymer on a cylinder