Ultracontractivity for Markov Semigroups and Quasi-Stationary Distributions

DOI10.1080/07362994.2014.905865zbMath1307.47044OpenAlexW1993047364MaRDI QIDQ2875518

Yusuke Miura

Publication date: 8 August 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2014.905865

zbMATH Keywords

ground statequasi-stationary distributionintrinsic ultracontractivity

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (12)

On quasi-ergodic distribution for one-dimensional diffusions ⋮ On quasi-stationaries for symmetric Markov processes ⋮ Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions ⋮ General criteria for the study of quasi-stationarity ⋮ Intrinsic ultracontractivity and uniform convergence to the \(Q\)-process for symmetric Markov processes ⋮ Criteria for Exponential Convergence to Quasi-Stationary Distributions and Applications to Multi-Dimensional Diffusions ⋮ Exponential mixing property for absorbing Markov processes ⋮ Uniform convergence of conditional distributions for absorbed one-dimensional diffusions ⋮ Existence and uniqueness of quasi-stationary distributions for symmetric Markov processes with tightness property ⋮ Some conditional limiting theorems for symmetric Markov processes with tightness property ⋮ Transient dynamics of absorbed singular diffusions ⋮ Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing

Cites Work

• Unnamed Item
• Unnamed Item
• Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations
• Uniform conditional ergodicity and intrinsic ultracontractivity
• Quasi-stationary distributions and diffusion models in population dynamics
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains
• Quasi-stationary distributions and population processes
• Intrinsic ultracontractivity and small perturbation for one-dimensional generalized diffusion operators
• The parabolic differential equations and the associated semigroups of transformation

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