Anisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations
Baladi, Viviane
HAL, hal-00012770 / Harvested from HAL
Text on HAL
We consider a smooth Anosov diffeomorphism with a smooth dynamical foliation. We show upper bounds on the essential spectral radius of its transfer operator acting on anisotropic Sobolev spaces. (Such bounds are related to the essential decorrelation rate for the SRB measure.) We compare our results to the estimates of Kitaev on the domain of holomorphy of dynamical Fredholm determinants for differentiable dynamics.
Publié le : 2004-07-05
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00012770,
     author = {Baladi, Viviane},
     title = {Anisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012770}
}

Baladi, Viviane. Anisotropic Sobolev spaces and dynamical transfer operators: C^infty foliations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012770/