Probabilistic and asymptotic methods with the Perron Frobenius's operator

Guy Cirier (1)

1 LSTA - Laboratoire de Statistique Théorique et Appliquée

We give a new global presentation of our results on the asymptotic behavior of an iteration. This paper brings many improvements and corrections to our previous preprints on the subject. Among the applications, we use new methods to compute asymptotic results of PDE like Lorenz or Navier-Stokes equations. New questions as the resonance are studied.

Mots clés: Perron-Frobenius; resolving deviation; Julia's sets; Plancherel-Rotach'function; Lorenz and Navier-Stokes equations; resonance

Domaines: Systèmes dynamiques [math.DS]

Guy Cirier. Probabilistic and asymptotic methods with the Perron Frobenius's operator. 2012. ⟨hal-00691097v3⟩