6 citations · 9 across the 3 of their papers we have counts for
5 papers · 1 filter
Polynomial decay of correlations of pseudo-Anosov diffeomorphisms
Dominic Veconi
We give a construction of a smooth realization of a pseudo-Anosov diffeomorphism of a Riemannian surface, and show that it admits a unique SRB measure with polynomial decay of corr…
Finite Time Hyperbolic Coordinates
Stefano Luzzatto, Dominic Veconi, Khadim War
We define finite-time hyperbolic coordinates, describe their geometry, and prove various results on both their convergence as the time scale increases, and on their variation in th…
SRB measures of singular hyperbolic attractors
Dominic Veconi
It is known that nonuniformly hyperbolic maps admitting singularities have at most countably many ergodic Sinai-Ruelle-Bowen (SRB) measures. These maps include the Belykh attractor…
Thermodynamics of smooth models of pseudo-Anosov homeomorphisms
Dominic Veconi
We develop a thermodynamic formalism for a smooth realization of pseudo-Anosov surface homeomorphisms. In this realization, the singularities of the pseudo-Anosov map are assumed t…
Equilibrium states of almost Anosov diffeomorphisms
Dominic Veconi
We develop a thermodynamic formalism for a class of diffeomorphisms of a torus that are "almost-Anosov". In particular, we use a Young tower construction to prove the existence and…