| Título: | Self-regulating processes |
| Autores: |
Barrière, Olivier; IRCCyN Echelard, Antoine; Inria and École Centrale Paris Lévy Véhel, Jacques; Inria and École Centrale Paris |
| Fecha: | 2012-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Hölder regularity; Weierstrass function; multifractional Brownian motion; self-regulating processes 60G17; 60G22; 26A16 |
| Descripción: | We construct functions and stochastic processes for which a functional relation holds between amplitude and local regularity, as measured by the pointwise or local Hölder exponent. We consider in particular functions and processes built by extending Weierstrass function, multifractional Brownian motion and the Lévy construction of Brownian motion. Such processes have recently proved to be relevant models in various applications. The aim of this work is to provide a theoretical background to these studies and to provide a first step in the development of a theory for such self-regulating processes. |
| Idioma: | Inglés |
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