Degenerate stochastic differential equations for catalytic branching networks

DOI10.1214/08-AIHP186zbMath1201.60058arXiv0802.0035OpenAlexW2121182259MaRDI QIDQ985339

Sandra M. Kliem

Publication date: 21 July 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0035

zbMATH Keywords

semigroupsstochastic differential equationsperturbationsdiffusionsmartingale problemdegenerate operatorsweighted Hölder normscatalytic branching networks

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (2)

Long-term behaviour of a cyclic catalytic branching system ⋮ The renormalization transformation for two-type branching models

Cites Work

• The renormalization transformation for two-type branching models
• Degenerate stochastic differential equations arising from catalytic branching networks
• Uniqueness for a mutually catalytic branching model
• Degenerate stochastic differential equations and super-Markov chains
• On the uniqueness problem for catalytic branching networks and other singular diffusions
• Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
• Diffusions and Elliptic Operators
• Hölder norm estimates for elliptic operators on finite and infinite-dimensional spaces
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