Random fields and the geometry of Wiener space

DOI10.1214/11-AOP730zbMath1284.60100arXiv1105.3839OpenAlexW3098552923MaRDI QIDQ359687

Sreekar Vadlamani, Jonathan E. Taylor

Publication date: 22 August 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3839

zbMATH Keywords

Malliavin calculusrandom fieldsWiener space

Mathematics Subject Classification ID

Random fields (60G60) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Integral geometry (53C65)

Related Items (3)

A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions ⋮ The geometry of least squares in the 21st century ⋮ High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphere

Cites Work

• Fractional order Sobolev spaces on Wiener space
• Sobolev spaces of Banach-valued functions associated with a Markov process
• Ray Hölder-continuity for fractional Sobolev spaces in inifinite dimensions and applications
• Positive generalized Wiener functions and potential theory over abstract Wiener spaces
• On nonlinear transformations of Gaussian measures
• On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains
• The Malliavin Calculus and Related Topics
• (r, p)-Capacity on the Wiener space and properties of Brownian motion
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• Boundary corrections for the expected Euler characteristic of excursion sets of random fields, with an application to astrophysics
• Random Fields and Geometry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Random fields and the geometry of Wiener space