# Laboratoire de Physique ThéoriqueToulouse - UMR 5152

## Rechercher

Sur ce site

Sur le Web du CNRS

Accueil du site > Publications > Publications 2007 > Probability distribution of the maximum of a smooth temporal signal

## Probability distribution of the maximum of a smooth temporal signal

Clément Sire

par - 5 juin 2006

We present an approximate calculation for the distribution of the maximum of a smooth stationary temporal signal . As an application, we compute the persistence exponent associated to the probability that the process remains below a non-zero level . When is a Gaussian process, our results are expressed explicitly in terms of the two-time correlation function, .