46 citations · 81 across the 8 of their papers we have counts for
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math.DS2006
Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties
Sebastien Gouezel, Carlangelo Liverani
Compact locally maximal hyperbolic sets are studied via geometrically defined functional spaces that take advantage of the smoothness of the map in a neighborhood of the hyperbolic…
math.DS2006★ 21 cited
Zeta functions and Dynamical Systems
Carlangelo Liverani, Masato Tsujii
In this brief note we present a very simple strategy to investigate dynamical determinants for uniformly hyperbolic systems. The construction builds on the recent introduction of s…
math.DS2006
Stability of Statistical Properties in Two-Dimensional Piecewise Hyperbolic Maps
Mark F. Demers, Carlangelo Liverani
We investigate the statistical properties of a piecewise smooth dynamical system by studying directly the action of the transfer operator on appropriate spaces of distributions. We…