Self-intersection local time on \({\mathcal S}'(\mathbb R^d)\)-valued process involving motions of two types

DOI10.1016/S0304-4149(98)00108-2zbMath0962.60068OpenAlexW2002880591MaRDI QIDQ1593638

Ekaterina Todorova, Louis G. Gorostiza

Publication date: 17 January 2001

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(98)00108-2

zbMATH Keywords

stable processself-intersection local timeGaussian \({\mathcal S}'(\mathbb R^d)\)-valued process

Mathematics Subject Classification ID

Gaussian processes (60G15) Local time and additive functionals (60J55)

Related Items

SELF-INTERSECTION LOCAL TIME FOR ${\mathcal S}' ({\mathbb R}^d)$-WIENER PROCESSES AND RELATED ORNSTEIN–UHLENBECK PROCESSES ⋮ Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\) ⋮ Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\).

Cites Work

• Intersection local times of all orders for Brownian and stable density processes -- construction, renormalisation and limit laws
• Markov properties of the fluctuation limit of a particle system with death
• Semigroups of linear operators and applications to partial differential equations
• Intersection local times for infinite systems of Brownian motions and for the Brownian density process
• Fluctuation limits of multitype branching random fields
• Persistence of critical multitype particle and measure branching processes
• Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples
• Clumping in multitype-branching trees
• SELF-INTERSECTION LOCAL TIME FOR ${\mathcal S}' ({\mathbb R}^d)$-WIENER PROCESSES AND RELATED ORNSTEIN–UHLENBECK PROCESSES
• Multiple points for the sample paths of the symmetric stable process
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