Symmetries and zero modes in sample path large deviations

DOI10.1007/s10955-022-03051-wOpenAlexW4315703503MaRDI QIDQ2679555

Timo Schorlepp, Rainer Grauer, Tobias Grafke

Publication date: 23 January 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08413

zbMATH Keywords

stochastic differential equationszero modesspontaneous symmetry breakingKPZ equationfunctional determinantsmatrix Riccati differential equationsForman's theoremprecise large deviation asymptotics

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Large deviations (60F10) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (1)

Scalable methods for computing sharp extreme event probabilities in infinite-dimensional stochastic systems

Cites Work

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• Solving the KPZ equation
• An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two
• Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes
• Asymptotic analysis of Gaussian integrals. II: Manifold of minimum points
• Large deviations techniques and applications.
• Functional determinants and geometry
• Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
• Simple explicit formulas for Gaussian path integrals with time-dependent frequencies
• Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions
• Solving differential Riccati equations: a nonlinear space-time method using tensor trains
• Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis
• Universal form of stochastic evolution for slow variables in equilibrium systems
• R-torsion and the Laplacian on Riemannian manifolds
• Riccati differential equations
• Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations
• Kramers' law: Validity, derivations and generalisations
• The Eyring-Kramers law for potentials with nonquadratic saddles
• Random Perturbations of Dynamical Systems
• Integration in Functional Spaces and its Applications in Quantum Physics
• Statistics of large currents in the Kipnis–Marchioro–Presutti model in a ring geometry
• Dynamic Scaling of Growing Interfaces
• The instanton method and its numerical implementation in fluid mechanics
• The geometric minimum action method: A least action principle on the space of curves
• Functional determinants in quantum field theory
• Asymptotic Analysis of Gaussian Integrals. I. Isolated Minimum Points
• Sufficiency and the Jacobi Condition in the Calculus of Variations
• Methods de laplace et de la phase stationnaire sur l'espace de wiener
• Regularization of functional determinants using boundary perturbations
• On functional determinants of matrix differential operators with multiple zero modes
• Metastability of Nonreversible Random Walks in a Potential Field and the Eyring‐Kramers Transition Rate Formula
• Minimum action method for the study of rare events
• The Laplace method for probability measures in Banach spaces
• Finite-size effects in the short-time height distribution of the Kardar–Parisi–Zhang equation
• Approximate Optimal Controls via Instanton Expansion for Low Temperature Free Energy Computation
• Instanton based importance sampling for rare events in stochastic PDEs
• Numerical computation of rare events via large deviation theory
• Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager–Machlup approach
• Marginal Density Expansions for Diffusions and Stochastic Volatility I: Theoretical Foundations
• Marginal Density Expansions for Diffusions and Stochastic Volatility II: Applications
• Markoff chains, Wiener integrals, and quantum theory
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Gel’fand–Yaglom type equations for calculating fluctuations around instantons in stochastic systems
• Instantons for rare events in heavy-tailed distributions

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