Asymptotic results for super-Brownian motions and semilinear differential equations

DOI10.1090/S1079-6762-98-00048-1zbMath0902.60068MaRDI QIDQ4210553

Tzong-Yow Lee

Publication date: 22 September 1998

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232765

zbMATH Keywords

asymptoticslarge deviationsoccupation timesemilinear partial differential equationsmeasure-valued processbranching Brownian motion

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

• A weighted occupation time for a class of measure-valued branching processes
• Occupation times for critical branching Brownian motions
• Occupation time large deviations for critical branching Brownian motion, super-Brownian motion and related processes
• Some limit theorems for critical branching Bessel processes and related semilinear differential equations
• Large deviations for the three-dimensional super-Brownian motion
• Ergodic theory and a local occupation time for measure-valued critical branching brownian motion
• Superprocesses and their Linear Additive Functionals
• The critical measure diffusion process
• Large deviations for occupation times of measure-valued branching Brownian motions
• Large deviations from the mckean-vlasov limit for weakly interacting diffusions

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