Publication

Criteria for hitting probabilities with applications to systems of stochastic wave equations

Robert Dalang
2010
Journal Articles

Abstract

We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these results to a system of stochastic wave equations in spatial dimension k >= 1 driven by a d-dimensional spatially homogeneous additive Gaussian noise that is white in time and colored in space.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Criteria for hitting probabilities with applications to systems of stochastic wave equations

Chat with Graph Search

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

System for predicting a prognosis of the neuropsychological and/or neuropsychiatric status in a subject

Additive and geometric transversality of fractal sets in the integers