The endpoint distribution of directed polymers
From MaRDI portal
Publication:2179599
DOI10.1214/19-AOP1376zbMath1444.60087arXiv1612.03443MaRDI QIDQ2179599
Publication date: 13 May 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.03443
Statistical mechanics of polymers (82D60) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Processes in random environments (60K37)
Related Items
Dynamic polymers: invariant measures and ordering by noise, A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential, Law of large numbers and fluctuations in the sub-critical and \(L^2\) regions for SHE and KPZ equation in dimension \(d \geq 3\), The endpoint distribution of directed polymers, Gaussian fluctuations of replica overlap in directed polymers, Fluctuation exponents of the KPZ equation on a large torus, Fluctuations of two-dimensional stochastic heat equation and KPZ equation in subcritical regime for general initial conditions, Weak convergence of directed polymers to deterministic KPZ at high temperature, Localization length of the \(1+1\) continuum directed random polymer, The critical 2d stochastic heat flow, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency, Joint localization of directed polymers, Localization in Gaussian disordered systems at low temperature, Random polymers on the complete graph, Unnamed Item, On global solutions of the random Hamilton–Jacobi equations and the KPZ problem, Localization of directed polymers with general reference walk, Fluctuation lower bounds in planar random growth models, Gaussian fluctuations for the directed polymer partition function in dimension \(d\ge 3\) and in the whole \(L^2\)-region, Directed polymer in \(\gamma\)-stable random environments, Directed polymers on infinite graphs, Localization of directed polymers in continuous space, Full-path localization of directed polymers, The scaling limit of the directed polymer with power-law tail disorder, Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder, The geometric Burge correspondence and the partition function of polymer replicas, Localization at the boundary for conditioned random walks in random environment in dimensions two and higher, New characterization of the weak disorder phase of directed polymers in bounded random environments, The intermediate disorder regime for Brownian directed polymers in Poisson environment, Proof of the path localization conjecture for directed polymers, High temperature behaviors of the directed polymer on a cylinder
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization in log-gamma polymers with boundaries
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Limiting laws of supercritical branching random walks
- Variational formulas and disorder regimes of random walks in random potentials
- Brownian occupation measures, compactness and large deviations
- Variational formulas and cocycle solutions for directed polymer and percolation models
- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- Random-walk in beta-distributed random environment
- A survey of max-type recursive distributional equations
- New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
- Scaling for a one-dimensional directed polymer with boundary conditions
- Extremes of \(N\) vicious walkers for large \(N\): application to the directed polymer and KPZ interfaces
- Localization of random walks in one-dimensional random environments
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Directed polymers in random environment are diffusive at weak disorder
- Strong localization and macroscopic atoms for directed polymers
- The strict-weak lattice polymer
- Ratios of partition functions for the log-gamma polymer
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
- The infinite valley for a recurrent random walk in random environment
- Phase transitions for the growth rate of linear stochastic evolutions
- Sur certaines martingales de Benoit Mandelbrot
- Directed polymers in a random environment: Some results on fluctuations
- A remark on diffusion of directed polymers in random environments
- Superdiffusive behavior of two-dimensional Brownian motion in a Poissonian potential
- The Burgers equation with a random force and a general model for directed polymers in random environments
- Discrete polynuclear growth and determinantal processes
- Directed polymers in a random environment: Path localization and strong disorder
- Upper bound of a volume exponent for directed polymers in a random environment
- Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional
- Brownian analogues of Burke's theorem.
- On the stability of the quenched state in mean-field spin-glass models
- A note on the diffusion of directed polymers in a random environment
- On the partition function of a directed polymer in a Gaussian random environment
- A martingale approach to directed polymers in a random environment
- Weak convergence and empirical processes. With applications to statistics
- Endpoint distribution of directed polymers in \(1 + 1\) dimensions
- Random overlap structures: properties and applications to SPIN glasses
- Diffusion of directed polymers in a random environment.
- Polymers on disordered trees, spin glasses, and traveling waves.
- Shape fluctuations and random matrices
- Localization of directed polymers in continuous space
- The endpoint distribution of directed polymers
- Tails of the endpoint distribution of directed polymers
- Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder
- Large deviation rate functions for the partition function in a log-gamma distributed random potential
- Integrable probability: from representation theory to MacDonald processes
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Characterization of invariant measures at the leading edge for competing particle systems
- The Parisi formula
- Brownian directed polymers in random environment
- Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
- On the joint distribution of the maximum and its position of the Airy2 process minus a parabola
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- On the Category of Indecomposable Distributions on Topological Groups
- On integrable directed polymer models on the square lattice
- Airy Processes and Variational Problems
- Gibbs Measures on Mutually Interacting Brownian Paths under Singularities
- A remark concerning random walks with random potentials
- The Sherrington-Kirkpatrick Model
- Quenched Free Energy and Large Deviations for Random Walks in Random Potentials
- Tail decay for the distribution of the endpoint of a directed polymer
- Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process
- Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
- Optimal Transport
- Ordered overlaps in disordered mean-field models