A multiscale guide to Brownian motion

We revise the Levy's construction of Brownian motion as a simple though rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based ``geometrical features'' at multiple length scales with random weigh...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Belyaev, D, Grebenkov, D, Jones, P
Fformat: Journal article
Cyhoeddwyd: Institute of Physics 2015