PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN ${\mathcal S}' ({\mathbb R}^d)$

DOI10.1142/S0219025707002786zbMath1140.60335OpenAlexW1867041587MaRDI QIDQ3502794

Anna Talarczyk

Publication date: 20 May 2008

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025707002786

zbMATH Keywords

branching processLévy processintersection local time of \(\mathbb R^d\)-processes

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

Related Items (2)

From intersection local time to the Rosenblatt process ⋮ Unnamed Item

Cites Work

• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• Intersection local times of all orders for Brownian and stable density processes -- construction, renormalisation and limit laws
• High density limit theorems for infinite systems of unscaled branching Brownian motions
• Langevin equations for S'-valued Gaussian processes and fluctuation limits of infinite particle systems
• Joint continuity of the intersection local times of Markov processes
• Intersection local times for infinite systems of Brownian motions and for the Brownian density process
• Renormalization and limit theorems for self-intersections of superprocesses
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Multiple scale analysis of clusters in spatial branching models
• Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\).
• Some central limit theorems for Markov paths and some properties of Gaussian random fields
• Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples
• Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\)
• Self-Intersection Local Time for SomeS′(ℝd)-Ornstein-Uhlenbeck Processes Related to Inhomogeneous Fields
• DIVERGENCE RESULTS FOR SELF-INTERSECTION LOCAL TIMES OF GAUSSIAN ${\mathscr S}' ({\mathbb R}^d)$-PROCESSES
• SELF-INTERSECTION LOCAL TIME FOR ${\mathcal S}' ({\mathbb R}^d)$-WIENER PROCESSES AND RELATED ORNSTEIN–UHLENBECK PROCESSES

This page was built for publication: PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN ${\mathcal S}' ({\mathbb R}^d)$