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4 papers · 1 filter
On strong ergodic properties of quantum dynamical systems
Francesco Fidaleo
We show that the the shift on the reduced C*--algebras of RD--groups, including the free group on infinitely many generators, and the amalgamated free product C*--algebras, enjoys…
Index theorems for holomorphic self-maps
Marco Abate, Filippo Bracci, Francesca Tovena
Let be a complex manifold and a (possibly singular) subvariety of . Let be a holomorphic map such that restricted to is the identity. W…
Banach spaces adapted to Anosov systems
Sebastien Gouezel, Carlangelo Liverani
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov map on classes of functions with high smoothness. To this end we construct anisotro…
Periodic orbits close to elliptic tori and applications to the three-body problem
Massimiliano Berti, Luca Biasco, Enrico Valdinoci
We prove, under suitable non-resonance and non-degeneracy ``twist'' conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with large…