KPZ equation tails for general initial data
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Publication:782809
DOI10.1214/20-EJP467zbMath1456.60253arXiv1810.07129MaRDI QIDQ782809
Publication date: 29 July 2020
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.07129
Related Items (19)
Large deviations of the KPZ equation via the stochastic Airy operator ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ Lower tail of the KPZ equation ⋮ Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry ⋮ Law of iterated logarithms and fractal properties of the KPZ equation ⋮ Precise deviations for discrete ensembles ⋮ Upper tail bounds for stationary KPZ models ⋮ An almost sure central limit theorem for the parabolic Anderson model with delta initial condition ⋮ The lower tail of \(q\)-pushTASEP ⋮ On the valleys of the stochastic heat equation ⋮ Integrability in the weak noise theory ⋮ Lyapunov exponents of the SHE under general initial data ⋮ Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method ⋮ KPZ equation with a small noise, deep upper tail and limit shape ⋮ Temporal correlation in last passage percolation with flat initial condition via Brownian comparison ⋮ Lyapunov exponents of the half-line SHE ⋮ KPZ equation correlations in time ⋮ Fractional moments of the stochastic heat equation ⋮ Short time large deviations of the KPZ equation
Cites Work
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- Height fluctuations for the stationary KPZ equation
- KPZ line ensemble
- Moments match between the KPZ equation and the Airy point process
- Solving the KPZ equation
- On the chaotic character of the stochastic heat equation, before the onset of intermitttency
- Crossover distributions at the edge of the rarefaction fan
- On the (strict) positivity of solutions of the stochastic heat equation
- The tail of the maximum of Brownian motion minus a parabola
- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- Random-walk in beta-distributed random environment
- Intermittency and multifractality: a case study via parabolic stochastic PDEs
- Mathematical methods for financial markets.
- Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
- Fluctuations of the one-dimensional polynuclear growth model with external sources
- Large deviations of the free energy in the O'Connell-Yor polymer
- Parabolic problems for the Anderson model. I: Intermittency and related topics
- Exact scaling functions for one-dimensional stationary KPZ growth
- Regularity of the density for the stochastic heat equation
- Limiting distributions for a polynuclear growth model with external sources
- The stochastic heat equation: Feynman-Kac formula and intermittence.
- Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions
- Lower tail of the KPZ equation
- Geometric characterization of intermittency in the parabolic Anderson model
- Large deviation rate functions for the partition function in a log-gamma distributed random potential
- Brownian Gibbs property for Airy line ensembles
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- MACDONALD PROCESSES
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- Large deviations of surface height in the 1 + 1-dimensional Kardar–Parisi–Zhang equation: exact long-time results for λH<0
- Limit process of stationary TASEP near the characteristic line
- An Introduction to Random Matrices
- On the support of solutions to the heat equation with noise
- Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions
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