Some central limit theorems for Markov paths and some properties of Gaussian random fields

DOI10.1016/0304-4149(87)90012-3zbMath0615.60037OpenAlexW2050018531MaRDI QIDQ1820501

Robert J. Adler, Raisa Epstein Feldman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0304-4149(87)90012-3

zbMATH Keywords

central limit theoremadditive functionalsEuclidean quantum fieldsGaussian fieldWick powersMarkov property for fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Generalized stochastic processes (60G20) Constructive quantum field theory (81T08)

Related Items (7)

Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ A representation for functionals of superprocesses via particle picture ⋮ PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN ${\mathcal S}' ({\mathbb R}^d)$ ⋮ From intersection local time to the Rosenblatt process ⋮ Particle picture representation of the non-symmetric Rosenblatt process and Hermite processes of any order ⋮ Exit distributions for symmetric Markov processes via Gaussian techniques ⋮ Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\)

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