Regular Transition Functions and Regular Superprocesses

DOI10.2307/2001364zbMath0695.60072OpenAlexW4236124786MaRDI QIDQ3471295

E. B. Dynkin

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001364

zbMATH Keywords

right processescharacterization of regular transition functionsregular Markov processessupertransition functions

Mathematics Subject Classification ID

Random fields (60G60) Continuous-time Markov processes on general state spaces (60J25) Signal detection and filtering (aspects of stochastic processes) (60G35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Boundary theory for Markov processes (60J50) Multiplicative functionals and Markov processes (60J57)

Related Items (8)

Conditioned super-Brownian motion ⋮ On regularity of superprocesses ⋮ Measure-valued Markov branching processes conditioned on non-extinction ⋮ Asymptotic Behaviour of Measure-Valued Critical Branching Processes ⋮ Birth delay of a Markov process and the stopping distributions for regular processes ⋮ A probabilistic approach to one class of nonlinear differential equations ⋮ A note on superprocesses ⋮ Path processes and historical superprocesses

Cites Work

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• Nonhomogeneous Markov processes
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• Sufficient statistics and extreme points
• Three classes of infinite-dimensional diffusions
• A limit theorem of branching processes and continuous state branching processes
• Superprocesses and their Linear Additive Functionals
• MARKOV REPRESENTATIONS OF STOCHASTIC SYSTEMS
• REGULAR MARKOV PROCESSES

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