UFBA » Instituto de Matemática »

Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps

We prove that every geometric Lorenz attractor has superpolynomial decay of correlations with respect to the unique SRB measure. Moreover, we prove the Central Limit Theorem and Almost Sure Invariance Principle for the time-1 map of the flow of geometric Lorenz attractors. In particular, our results apply to the classical Lorenz attractor.

Grupo de Pesquisa: 
Linhas de pesquisa: 
Outros autores: 
Ian Melbourne
Data: 
2013
Arquivo: