A Formula for Semigroups, with an Application to Branching Diffusion Processes

DOI10.2307/1995636zbMath0221.60053OpenAlexW4237157392MaRDI QIDQ5626026

Stanley A. Sawyer

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995636

Mathematics Subject Classification ID

Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Adding and Subtracting Jumps from Markov Processes ⋮ Limiting Distributions for Branching Random Fields ⋮ A remark on the $S$-equation for branching processes ⋮ A continuous migration model with stable demography ⋮ On non-parametric estimation of the Lévy kernel of Markov processes ⋮ Complex Burgers Equation: A Probabilistic Perspective ⋮ A note on jump Atlas models ⋮ Dynamic contagion in a banking system with births and defaults ⋮ Stationary distributions and convergence for \(M/M/1\) queues in interactive random environment ⋮ Some limit theorems for critical branching Bessel processes and related semilinear differential equations ⋮ Explicit Rates of Exponential Convergence for Reflected Jump-Diffusions on the Half-Line ⋮ Weak infinitesimal generators of a class of jump-perturbed Markov processes

Cites Work

• Unnamed Item
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• Discontinuous Markoff processes
• A boundary value problem of partial differential equations of parabolic type
• On boundaries and lateral conditions for the Kolmogorov differential equations
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Renaissance, recollements, mélanges, ralentissement de processus de Markov
• Fonctionnelles multiplicatives et additives de Markov
• Multi-dimensional diffusion and the Markov process on the boundary
• Branching Markov processes. I
• Additive functionals of the Brownian path
• On Signed Branching Markov Processes with Age
• Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear Integral Equation
• Markov processes with creation of particles
• Construction of branching Markov processes with age and sign
• A remark on the $S$-equation for branching processes
• On branching Markov processes