Potential-theoretical methods in the construction of measure-valued Markov branching processes

DOI10.4171/JEMS/264zbMath1225.60133MaRDI QIDQ2429777

Lucian Beznea

Publication date: 4 April 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

branching processsuperprocessright processexcessive function

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35) Right processes (60J40)

Related Items

Measure-valued branching processes associated with Neumann nonlinear semiflows ⋮ Applications of compact superharmonic functions: path regularity and tightness of capacities ⋮ Numerical solution for the non-linear Dirichlet problem of a branching process ⋮ Stochastic solutions to evolution equations of non-local branching processes ⋮ \(h\)-transform of Doob and nonlocal branching processes ⋮ Nonlinear PDEs and measure-valued branching type processes ⋮ From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces ⋮ Bounded and \(L^p\)-weak solutions for nonlinear equations of measure-valued branching processes ⋮ Markov processes on the Lipschitz boundary for the Neumann and Robin problems ⋮ Branching processes for the fragmentation equation ⋮ Measure-valued discrete branching Markov processes ⋮ From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes ⋮ Continuous flows driving branching processes and their nonlinear evolution equations

Cites Work

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