Asymptotic Exit Location Distributions in the Stochastic Exit Problem

No abstract is available for this paper.

• Publication year

  1994

• Venue

  Siam Journal on Applied Mathematics

• Publication date

  Unknown publication date

• Fields of study

  Mathematics

• Identifiers

  No identifiers available.

• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Stochastic Processes in Physics and Chemistry

  1995cited by this paper
• Cycling and skewing of exit measures for planar systems

  1994cited by this paper
• Computation of higher-order corrections to the semiclassical propagator.

  1994cited by this paper
• Escape problem for irreversible systems.

  1993cited by this paper
• Large Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing

  1993cited by this paper
• On the Distribution of the Integral of the Absolute Value of the Brownian Motion

  1993cited by this paper
• Dissipative corrections to escape probabilities of thermal-nonequilibrium systems.

  1993cited by this paper
• Some results on the problem of exit from a domain

  1992cited by this paper
• Stochastic chaos in a class or Fokker-Planck equations.

  1992cited by this paper
• A Geometric View of the Matrix Riccati Equation

  1991cited by this paper
• Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review

  1991cited by this paper
• Singular perturbation methods for ordinary differential equations

  1991cited by this paper
• Colliding Stacks: A Large Deviations Analysis

  1991cited by this paper
• Dynamics of multidimensional barrier crossing in the overdamped limit

  1991cited by this paper
• A direct approach to the exit problem

  1990cited by this paper
• The exponential leveling and the Ventcel-Freidlin “minimal action” function

  1990cited by this paper
• Reaction-rate theory: fifty years after Kramers

  1990cited by this paper
• Stokes surfaces of diffraction catastrophes with codimension three

  1990cited by this paper
• Large deviations results for the exit problem with characteristic boundary

  1990cited by this paper
• Noise in Nonlinear Dynamical Systems. Volume 2. Theory of noise induced processes in special applications

  1989cited by this paper
• The rate constant in the kramers multidimensional theory and the saddle-point avoidance

  1989cited by this paper
• Diffusion theory of multidimensional activated rate processes: The role of anisotropy

  1989cited by this paper
• Mean first passage time and the lifetime of a metastable state

  1987cited by this paper
• The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries

  1987cited by this paper
• Extreme Values, Regular Variation, and Point Processes

  1987cited by this paper
• Nondifferentiable potentials for nonequilibrium steady states

  1987cited by this paper
• Recent progress on the small parameter exit problem

  1987cited by this paper
• The Riccati Equation

  1986cited by this paper
• A new technique for analyzing large traffic systems

  1986cited by this paper
• Some regularity results on the Ventcel-Freidlin quasi-potential function

  1985cited by this paper
• The brownian excursion area: a numerical analysis

  1984cited by this paper
• Random Perturbations of Dynamical Systems

  1984cited by this paper
• Kac's formula, levy's local time and brownian excursion

  1984cited by this paper
• Matrices and indefinite scalar products

  1983cited by this paper
• Diffusion across characteristic boundaries with critical points

  1983influential reference
• Geometry of the Algebraic Riccati Equation, Part I

  1983cited by this paper
• A Singular Perturbation Method for the Computation of the Mean First Passage Time in a Nonlinear Filter

  1982cited by this paper
• The asymptotic solution of singularly perturbed Dirichlet problems with applications to the study of incompressible flows at high Reynolds number

  1982cited by this paper
• Escape from Domains of Attraction for Systems Perturbed by Noise

  1981cited by this paper
• On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles

  1980cited by this paper
• A WKB treatment of diffusion in a multidimensional bistable potential

  1980cited by this paper
• The Singularly Perturbed Turning-Point Problem: A Spectral Approach

  1980cited by this paper
• On the excursion process of Brownian motion

  1980cited by this paper
• Diffusion in a bistable potential: A systematic WKB treatment

  1979cited by this paper
• Singularly perturbed semilinear elliptic boundary value problems

  1979cited by this paper
• A Geometric Approach to Boundary Layer Problems Exhibiting Resonance

  1979cited by this paper
• Asymptotic behavior of the principal eigenfunction for a singularly perturbed Dirichlet problem

  1978cited by this paper
• Weak Convergence to Brownian Meander and Brownian Excursion

  1977cited by this paper
• The Exit Problem for Randomly Perturbed Dynamical Systems

  1977cited by this paper
• Probability of Extinction in a Stochastic Competition

  1977cited by this paper
• Path integral formulation of general diffusion processes

  1977cited by this paper
• Statistical Theory of Reliability and Life Testing: Probability Models

  1976cited by this paper
• On Boundary Layer Problems Exhibiting Resonance

  1975cited by this paper
• Persistence of Dynamical Systems under Random Perturbations

  1975influential reference
• Oscillatory integrals, lagrange immersions and unfolding of singularities

  1974cited by this paper
• Théorie des perturbations et méthodes asymptotiques

  1972cited by this paper
• Excursions of a non-singular diffusion

  1963cited by this paper
• Frequency Factors in the Thermally Activated Process

  1961cited by this paper
• The Theory of Rate Processes

  1942cited by this paper
• Transition : Rate Theory for Nongradient Drift Fields

  year unknowncited by this paper
• RESONANCE FOR SINGULAR PERTURBATION PROBLEMS *

  year unknowncited by this paper

• The information geometry of two-field functional integrals

  2022cites this paper
• An efficient approach to obtaining the exit location distribution and the mean first passage time based on the GCM method

  2021cites this paper
• Mean exit time for the overdamped Langevin process: the case with critical points on the boundary

  2021cites this paper
• The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 2

  2020cites this paper
• Stationary distribution simulation of rare events under colored Gaussian noise

  2019cites this paper
• Non-differentiability of quasi-potential and non-smooth dynamics of optimal paths in the stochastic Morris–Lecar model: Type I and II excitability

  2019cites this paper
• Noise induced escape in one-population and two-population stochastic neural networks with internal states.

  2019cites this paper
• Nonequilibrium physics in biology

  2019cites this paper
• The information geometry of 2-field functional integrals.

  2019cites this paper
• Rare slips in fluctuating synchronized oscillator networks.

  2018cites this paper
• Escape Dynamics in Learning Models

  2018cites this paper
• Stochastic Hybrid Systems in Cellular Neuroscience

  2018cites this paper
• Enhancing noise-induced switching times in systems with distributed delays.

  2018cites this paper
• Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold

  2017cites this paper
• High-Density Quantum Sensing with Dissipative First Order Transitions.

  2017cites this paper
• Importance Sampling for Metastable and Multiscale Dynamical Systems

  2017cites this paper
• Sharp Asymptotics of the First Exit Point Density

  2017cites this paper
• Bifurcation of transition paths induced by coupled bistable systems.

  2016cites this paper
• Exit location distribution in the stochastic exit problem by the generalized cell mapping method

  2016cites this paper
• The Geometry of Most Probable Trajectories in Noise-Driven Dynamical Systems

  2016cites this paper
• Hyperbolic periodic orbits in nongradient systems and small-noise-induced metastable transitions

  2016cites this paper
• Partial differential equations and stochastic methods in molecular dynamics*

  2016cites this paper
• Construction of the landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and beyond.

  2015cites this paper
• Generalisation of the Eyring–Kramers Transition Rate Formula to Irreversible Diffusion Processes

  2015cites this paper
• Symmetry and Collective Fluctuations in Evolutionary Games

  2015cites this paper
• On the Hamiltonian structure of large deviations in stochastic hybrid systems

  2014cites this paper
• Non-equilibrium transition state rate theory

  2014cites this paper
• Bistable switching asymptotics for the self regulating gene

  2014cites this paper
• Traveling Waves in One-Dimensional Excitable Media

  2014cites this paper
• Epigenetic state network approach for describing cell phenotypic transitions

  2014cites this paper
• Metastable behavior in Markov processes with internal states

  2013cites this paper
• Unhedgeable shocks and statistical economic equilibrium

  2013cites this paper
• Quasi-potential landscape in complex multi-stable systems

  2012cites this paper
• Bridging scales with generating functions , and the large-deviations analysis of stochastic evolutionary game theory

  2011cites this paper
• Unhedgeable shocks and statistical economic equilibrium

  2011cites this paper
• Large-deviation principles, stochastic effective actions, path entropies, and the structure and meaning of thermodynamic descriptions

  2011cites this paper
• Predicting extinction rates in stochastic epidemic models

  2009cites this paper
• Fixation in haploid populations exhibiting density dependence II: the quasi-neutral case.

  2007cites this paper
• Dynamical control: comparison of map and continuous-flow approaches.

  2006cites this paper
• Noise-induced shift of singularities in the pattern of optimal paths

  2003cites this paper
• Metastable dynamics and exponential asymptotics in multi-dimensional domains

  2001cites this paper
• Large fluctuations and irreversibility in nonequilibrium systems.

  1999cites this paper
• Where is the exit point

  1998cites this paper
• Dynamic metastability and singular perturbations

  1998cites this paper
• Exponential Asymptotics , Boundary Layer Resonance , and Dynamic

  1996cites this paper
• Exponential Asymptotics, Boundary Layer Resonance, and Dynamic Metastability

  1996cites this paper
• A Scaling Theory of Bifurcations in theSymmetric Weak-Noise Escape

  1996cites this paper
• A scaling theory of bifurcations in the symmetric weak-noise escape problem

  1995cites this paper