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...

Descripció completa

Dades bibliogràfiques
Autors principals: Belyaev, D, Grebenkov, D, Jones, P
Format: Journal article
Publicat: Institute of Physics 2015