Localization of directed polymers with general reference walk
type: Item
instance of: scholarly article
title: Localization of directed polymers with general reference walk
zbMATH Open document ID: 1390.60359
DOI: 10.1214/18-EJP158
author: Erik Bates
published in: Electronic Journal of Probability
publication date: 2018-05-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/1708.03713
full work available at URL: https://projecteuclid.org/euclid.ejp/1522375270
Mathematics Subject Classification ID: 60K37
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 6868375
zbMATH Keywords: directed polymers
zbMATH Keywords: long-range polymer
zbMATH Keywords: localization
zbMATH Keywords: free energy
zbMATH Keywords: phase transition
MaRDI profile type: Publication
arXiv ID: 1708.03713
cites work: The continuum directed random polymer
cites work: The intermediate disorder regime for directed polymers in dimension \(1+1\)
cites work: Directed polymers in a random environment with a defect line
cites work: On properties of Parisi measures
cites work: The Parisi formula has a unique minimizer
cites work: The Legendre structure of the Parisi formula
cites work: Parisi formula for the ground state energy in the mixed \(p\)-spin model
cites work: Q2716350
cites work: Limiting laws of supercritical branching random walks
cites work: The endpoint distribution of directed polymers
cites work: The high-temperature behavior for the directed polymer in dimension \(1+2\)
cites work: Q4269108
cites work: Concentration inequalities. A nonasymptotic theory of independence
cites work: Q5667328
cites work: Polynomial chaos and scaling limits of disordered systems
cites work: Universality in marginally relevant disordered systems
cites work: On the partition function of a directed polymer in a Gaussian random environment
cites work: The Aizenman-Sims-Starr scheme and Parisi formula for mixed \(p\)-spin spherical models
cites work: Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound
cites work: Q5446149
cites work: Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
cites work: Limiting results for the free energy of directed polymers in random environment with unbounded jumps
cites work: Localization in log-gamma polymers with boundaries
cites work: Directed polymers in a random environment: Path localization and strong disorder
cites work: Q3412818
cites work: Brownian directed polymers in random environment
cites work: Directed polymers in random environment are diffusive at weak disorder
cites work: Localization transition for polymers in Poissonian medium
cites work: Variational formulas and cocycle solutions for directed polymer and percolation models
cites work: Percolation
cites work: Diffusion of directed polymers in a random environment.
cites work: A dynamic programming approach to the Parisi functional
cites work: New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
cites work: Influence of spatial correlation for directed polymers
cites work: Q5765710
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in a random environment
cites work: Strong and Weak Disorder for Lévy Directed Polymers in Random Environment
cites work: Weak and strong disorder for the stochastic heat equation and continuous directed polymers in \(d\geq 3\)
cites work: Brownian occupation measures, compactness and large deviations
cites work: A remark on the bound for the free energy of directed polymers in random environment in \(1+2\) dimension
cites work: A question about the Parisi functional
cites work: On differentiability of the Parisi formula
cites work: The Parisi ultrametricity conjecture
cites work: The Sherrington-Kirkpatrick Model
cites work: The Parisi formula for mixed \(p\)-spin models
cites work: On the Category of Indecomposable Distributions on Topological Groups
cites work: Quenched Free Energy and Large Deviations for Random Walks in Random Potentials
cites work: Variational formulas and disorder regimes of random walks in random potentials
cites work: Scaling for a one-dimensional directed polymer with boundary conditions
cites work: The Parisi formula
cites work: Mean Field Models for Spin Glasses
cites work: Weak convergence and empirical processes. With applications to statistics
cites work: Strong localization and macroscopic atoms for directed polymers
cites work: Optimal Transport

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cites work: Sharp asymptotics for the free energy of \(1+1\) dimensional directed polymers in an infinitely divisible environment

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cites work: Free energy of the Cauchy directed polymer model at high temperature

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cites work: On the long-range directed polymer model