Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions

DOI10.1007/s00440-023-01246-0zbMath1530.60035MaRDI QIDQ6145697

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Publication date: 9 January 2024

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

viscosity solutionsingularitydiffusion processdegeneracyWKB expansionmultiscale dynamicstransient dynamicsabsorbing stateeigenfunction asymptoticquasi-stationary distribution (QSD)sub-exponential large deviation principle

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Diffusion processes (60J60) Large deviations (60F10) 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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