Markov snakes and superprocesses

DOI10.1007/BF01246334zbMath0862.60072OpenAlexW2083939640MaRDI QIDQ1902864

E. B. Dynkin, S. E. Kuznetsov

Publication date: 25 May 1997

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01246334

zbMATH Keywords

weak convergenceadditive functionalssuperprocessessuperdiffusionsMarkov snakes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

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Cites Work

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• Superprocesses and partial differential equations
• The continuum random tree. I
• A probabilistic approach to one class of nonlinear differential equations
• Branching particle systems and superprocesses
• Additive functionals and entrance laws
• Construction and regularity of measure-valued Markov branching processes
• Brownian excursions, trees and measure-valued branching processes
• Superdiffusion and parabolic nonlinear differential equations
• Hitting probabilities and potential theory for the Brownian path-valued process
• A class of path-valued Markov processes and its applications to superprocesses
• On regularity of superprocesses
• The uniform random tree in a Brownian excursion
• Branching measure-valued processes
• Three classes of infinite-dimensional diffusions
• The continuum random tree. III
• On weighted heights of random trees
• Superprocesses and their Linear Additive Functionals
• Historical processes
• An Introduction to Branching Measure-Valued Processes
• First Passage and Recurrence Distributions