Positive random walks and an identity for half-space SPDEs
DOI10.1214/22-EJP775MaRDI QIDQ2136102
Publication date: 10 May 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.09449
Brownian excursionconcentration of measureBrownian meanderdirected polymeranomalous fluctuationsDirichlet boundarystochastic heat equation with multiplicative noise
Sums of independent random variables; random walks (60G50) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)
Related Items (3)
Cites Work
- Unnamed Item
- A theory of regularity structures
- High temperature limits for \((1+1)\)-dimensional directed polymer with heavy-tailed disorder
- Polynomial chaos and scaling limits of disordered systems
- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- Fluctuations of the one-dimensional polynuclear growth model in half-space
- Invariance principles for random walks conditioned to stay positive
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- The two-dimensional KPZ equation in the entire subcritical regime
- Directed polymers in random environment are diffusive at weak disorder
- Weakly asymmetric non-simple exclusion process and the Kardar-Parisi-Zhang equation
- Functional central limit theorems for random walks conditioned to stay positive
- On a functional central limit theorem for random walks conditioned to stay positive
- Weak convergence to Brownian meander and Brownian excursion
- Functionals of Brownian meander and Brownian excursion
- Directed polymers in a random environment: Path localization and strong disorder
- Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
- Pfaffian Schur processes and last passage percolation in a half-quadrant
- Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential
- Universality in marginally relevant disordered systems
- Directed random polymers via nested contour integrals
- The KPZ limit of ASEP with boundary
- Singular SPDEs in domains with boundaries
- Multiplicative stochastic heat equations on the whole space
- Algebraic aspects of increasing subsequences
- Diffusion of directed polymers in a random environment.
- The continuum directed random polymer
- Constructing a solution of the \((2+1)\)-dimensional KPZ equation
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Weighted sums of certain dependent random variables
- A local limit theorem for random walks conditioned to stay positive
- Intermediate disorder regime for half-space directed polymers
- Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- Excursion and meander in random walk
- Open ASEP in the Weakly Asymmetric Regime
- HALF-SPACE MACDONALD PROCESSES
- A FUNCTIONAL LIMIT THEOREM FOR RANDOM WALK CONDITIONED TO STAY NON-NEGATIVE
This page was built for publication: Positive random walks and an identity for half-space SPDEs