Confinement of the infrared divergence for the Mumford process

Béatrice Vedel (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

The Mumford process is a stochastic distribution modulo constant and can not be defined as a stochastic distribution invariant in law by dilations. In this paper, two extansions in adapted wavelet basis are proposed, which allow us to confine the divergence of the process on a 'small' term.

Mots clés: Mumford process; wavelet basis; infrared divergence; self-similarity

Domaines: Analyse fonctionnelle [math.FA]

Béatrice Vedel. Confinement of the infrared divergence for the Mumford process. Applied and Computational Harmonic Analysis, 2006, 21, pp.305-323. ⟨hal-00904594⟩