The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency
From MaRDI portal
Publication:6135921
DOI10.1007/s00220-023-04768-9zbMath1527.60044arXiv2111.07988OpenAlexW4226326825MaRDI QIDQ6135921
Carsten Chong, Quentin Berger, Hubert Lacoin
Publication date: 28 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.07988
Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic six-vertex model
- A remark on a result of Xia Chen
- Weak and strong disorder for the stochastic heat equation and continuous directed polymers in \(d\geq 3\)
- Localization in log-gamma polymers with boundaries
- Solving the KPZ equation
- Localization transition for polymers in Poissonian medium
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Gaussian multiplicative chaos and applications: a review
- A theory of regularity structures
- Very strong disorder for the parabolic Anderson model in low dimensions
- Brownian occupation measures, compactness and large deviations
- KPZ reloaded
- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- The high-temperature behavior for the directed polymer in dimension \(1+2\)
- Influence of spatial correlation for directed polymers
- New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
- Disorder relevance for the random walk pinning model in dimension 3
- On the critical point of the random walk pinning model in dimension \(d=3\)
- Intermittency and multifractality: a case study via parabolic stochastic PDEs
- Lévy processes and Lévy white noise as tempered distributions
- Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three
- Bounds on the distributions of extremal values of a scanning process
- Directed polymers in random environment are diffusive at weak disorder
- Strong localization and macroscopic atoms for directed polymers
- Precise intermittency for the parabolic Anderson equation with an \((1+1)\)-dimensional time-space white noise
- Parabolic problems for the Anderson model. I: Intermittency and related topics
- Coarse graining, fractional moments and the critical slope of random copolymers
- Spectral representations of infinitely divisible processes
- Stochastic Burgers and KPZ equations from particle systems
- Study of a SPDE driven by a Poisson noise
- Directed polymers in a random environment: Path localization and strong disorder
- The stochastic heat equation: Feynman-Kac formula and intermittence.
- Thresholds for detecting an anomalous path from noisy environments
- A macroscopic multifractal analysis of parabolic stochastic PDEs
- The heat equation with Lévy noise
- A note on the diffusion of directed polymers in a random environment
- Stochastic partial differential equation driven by stable noise
- On the partition function of a directed polymer in a Gaussian random environment
- Diffusion of directed polymers in a random environment.
- The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher
- On the moments of the \((2+1)\)-dimensional directed polymer and stochastic heat equation in the critical window
- Fractional moments of the stochastic heat equation
- Directed polymer in \(\gamma\)-stable random environments
- Wavelet analysis of the Besov regularity of Lévy white noise
- Localization of directed polymers in continuous space
- The scaling limit of the directed polymer with power-law tail disorder
- The KPZ fixed point
- The continuum directed polymer in Lévy noise
- Spatial ergodicity for SPDEs via Poincaré-type inequalities
- Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency
- Fluctuations of the solutions to the KPZ equation in dimensions three and higher
- The endpoint distribution of directed polymers
- Stochastic PDE limit of the six vertex model
- Renormalizing the Kardar-Parisi-Zhang equation in \(d\ge 3\) in weak disorder
- Existence of a non-averaging regime for the self-avoiding walk on a high-dimensional infinite percolation cluster
- Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder
- The intermediate disorder regime for Brownian directed polymers in Poisson environment
- Intermittency for the stochastic heat equation with Lévy noise
- Path properties of the solution to the stochastic heat equation with Lévy noise
- Stochastic PDEs with heavy-tailed noise
- Geometric characterization of intermittency in the parabolic Anderson model
- Hierarchical pinning models, quadratic maps and quenched disorder
- Moment bounds for a class of fractional stochastic heat equations
- Lévy-driven Volterra equations in space and time
- Free energy of directed polymers in random environment in \(1+1\)-dimension at high temperature
- SPDEs with \(\alpha\)-stable Lévy noise: a random field approach
- Tropical combinatorics and Whittaker functions
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Nonlinear fluctuations of weakly asymmetric interacting particle systems
- Moments of the 2D SHE at criticality
- Lyapunov exponents of the SHE under general initial data
- Asymptotics for a variant of the Mittag–Leffler function
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Dynamic Scaling of Growing Interfaces
- On Discontinuous Martingales
- Parabolic Anderson problem and intermittency
- On Maximal Inequalities for Purely Discontinuous Martingales in Infinite Dimensions
- PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT
- The two-dimensional stochastic heat equation: renormalizing a multiplicative noise
- Lectures on the Poisson Process
- Marginal relevance of disorder for pinning models
- Fractional moment bounds and disorder relevance for pinning models
- Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions
- The critical 2d stochastic heat flow
This page was built for publication: The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency
