Transient dynamics of absorbed singular diffusions
DOI10.1007/s10884-021-09963-7zbMath1501.60043OpenAlexW3134819399WikidataQ115383257 ScholiaQ115383257MaRDI QIDQ2097621
Publication date: 14 November 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-09963-7
singularitychemical reactiondiffusion processpopulation dynamicsdegeneracytransient statequasi-stationary distributiontransient dynamicsabsorbing stateextinction rateeigenvalue asymptotic
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Diffusion processes (60J60) Ordinary differential equations and systems with randomness (34F05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
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- Slow manifold reduction of a stochastic chemical reaction: exploring Keizer's paradox
- Competitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinc\-tion
- Asymptotics of the spectral gap with applications to the theory of simulated annealing
- Metastability for a class of dynamical systems subject to small random perturbations
- Quasi-stationary distributions and diffusion models in population dynamics
- Semigroups of linear operators and applications to partial differential equations
- Krein's formula and one-dimensional multiple-well
- The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries
- The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point
- On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles
- Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium
- Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
- Metastability and low lying spectra in reversible Markov chains
- Asymptotics of the spectra of Schrödinger operators with low temperature
- Quasi-stationary distributions and population processes
- Semiclassical analysis for diffusions and stochastic processes
- Quasistationary distributions for one-dimensional diffusions with singular boundary points
- On time scales and quasi-stationary distributions for multitype birth-and-death processes
- A quasistationary analysis of a stochastic chemical reaction: Keizer's paradox
- Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian
- Quasi-stationary distributions for randomly perturbed dynamical systems
- Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes
- Transient chaos. Complex dynamics in finite-time scales
- Ultracontractivity for Markov Semigroups and Quasi-Stationary Distributions
- Quasi-Stationary Distributions
- Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reaction systems—an analytical theory
- Uniqueness of Quasistationary Distributions and Discrete Spectra when ∞ is an Entrance Boundary and 0 is Singular
- One-Parameter Semigroups for Linear Evolution Equations
- Spectra, exit times and long time asymptotics in the zero-white-noise limit
- Uniform convergence of conditional distributions for absorbed one-dimensional diffusions
- Stochastic Analysis of Biochemical Systems
- Random Perturbations of Dynamical Systems with Absorbing States
- Limit theorems for sequences of jump Markov processes approximating ordinary differential processes