Representations for continuous additive functionals of super-Brownian and super-stable processes

DOI10.1016/S0167-7152(97)89485-0zbMath0894.60072OpenAlexW2024150031MaRDI QIDQ1380651

Stephen M. Krone

Publication date: 30 August 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)89485-0

zbMATH Keywords

local timeadditive functionalsuperprocessTanaka formulafractional derivativemeasure-valued process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Random measures (60G57) Local time and additive functionals (60J55)

Cites Work

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• On the fractional derivative of Brownian local times
• Super-Brownian motion: Path properties and hitting probabilities
• Local times for superdiffusions
• A weighted occupation time for a class of measure-valued branching processes
• Semigroups of linear operators and applications to partial differential equations
• Joint continuity of the intersection local times of Markov processes
• Stochastic partial differential equations for some measure-valued diffusions
• Construction and regularity of measure-valued Markov branching processes
• Limit theorems and variation properties for fractional derivatives of the local time of a stable process
• Local time and Tanaka formulae for super Brownian and super stable processes
• On some limit theorems for occupation times of one dimensional Brownian motion and its continuous additive functionals locally of zero energy
• Some properties for the measure-valued branching diffusion processes
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• Ergodic theory and a local occupation time for measure-valued critical branching brownian motion
• Superprocesses and their Linear Additive Functionals
• A decomposition of additive functionals of finite energy
• Representations of continuous additive functionals of zero energy via convolution type transforms of brownian local times and the radon transform

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