Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson localization models
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Publication:5857560
DOI10.1088/1742-5468/abe408zbMath1504.82037arXiv2010.14994OpenAlexW3138022961MaRDI QIDQ5857560
Publication date: 1 April 2021
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14994
current fluctuationsfluctuation phenomenadynamical processeslarge deviations in non-equilibrium systems
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Cites Work
- Unnamed Item
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- Microscopic structure of shocks and antishocks in the ASEP conditioned on low current
- Fluctuations of random matrix products and 1D Dirac equation with random mass
- Nonequilibrium Markov processes conditioned on large deviations
- Large deviations of the empirical flow for continuous time Markov chains
- Bethe Ansatz for the weakly asymmetric simple exclusion process and phase transition in the current distribution
- The fluctuation theorem and Lyapunov weights
- Transition probabilities and dynamic structure function in the ASEP conditioned on strong flux
- A formal view on level 2.5 large deviations and fluctuation relations
- The theory of large deviations: from Boltzmann's 1877 calculation to equilibrium macrostates in 2D turbulence
- Thermodynamic formalism for systems with Markov dynamics
- The Fokker-Planck equation. Methods of solution and applications.
- The fluctuation theorem as a Gibbs property
- A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
- Products of random matrices in statistical physics
- Large deviation principle for Markov chains in continuous time
- Exponential number of equilibria and depinning threshold for a directed polymer in a random potential
- Entropy and large deviations for discrete-time Markov chains
- Localization properties in one-dimensional disordered supersymmetric quantum mechanics
- The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity
- Note on two theorems in nonequilibrium statistical mechanics
- Persistent stability of a chaotic system
- Introduction to dynamical large deviations of Markov processes
- From particle systems to partial differential equations II. Proceedings of the conference ``Particle systems and partial differential equations, PS-PDEs II, Braga, Portugal, December 12--13, 2013
- Large deviations conditioned on large deviations. I: Markov chain and Langevin equation
- Large deviations conditioned on large deviations II: Fluctuating hydrodynamics
- Flows, currents, and cycles for Markov chains: large deviation asymptotics
- Continuum limit of random matrix products in statistical mechanics of disordered systems
- Asymptotic laws for the winding angles of planar Brownian motion
- Fluctuations of the product of random matrices and generalized Lyapunov exponent
- Diffusions conditioned on occupation measures
- Lyapunov exponents, one-dimensional Anderson localization and products of random matrices
- Large Deviations and Ensembles of Trajectories in Stochastic Models
- Winding of planar Brownian curves
- Construction of a coordinate Bethe ansatz for the asymmetric simple exclusion process with open boundaries
- ASEP on a ring conditioned on enhanced flux
- The Anderson localization transition with long-ranged hoppings: analysis of the strong multifractality regime in terms of weighted Lévy sums
- Density profiles, dynamics, and condensation in the ZRP conditioned on an atypical current
- Variational and optimal control representations of conditioned and driven processes
- The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
- First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
- A Selection of Nonequilibrium Issues
- Asymptotic winding angle distributions for planar Brownian motion with drift
- Fluctuation theorem for stochastic dynamics
- From dynamical systems to statistical mechanics: the case of the fluctuation theorem
- Current fluctuations in periodically driven systems
- Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
- Large-deviation theory for a Brownian particle on a ring: a WKB approach
- Large deviations for the density and current in non-equilibrium-steady-states on disordered rings
- Microscopic fluctuation theory (mFT) for interacting Poisson processes
- Periodically driven jump processes conditioned on large deviations
- Large deviations for dynamical fluctuations of open Markov processes, with application to random cascades on trees
- Fluctuation theorems for stochastic dynamics
- Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
- Generic dynamical phase transition in one-dimensional bulk-driven lattice gases with exclusion
- Statistical mechanics with topological constraints: I
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- On Distributions of Certain Wiener Functionals
- Handbook of stochastic methods for physics, chemistry and natural sciences.
- Products of random matrices and generalised quantum point scatterers
- Ergodicity and large deviations in physical systems with stochastic dynamics
- Revisiting classical and quantum disordered systems from the unifying perspective of large deviations