4 citations · 4 across the 6 of their papers we have counts for
6 papers
Stability Theory for Local Iterated Function Systems
Elismar R. Oliveira, Paulo Varandas
We develop a stability theory for contractive local IFSs on compact metric spaces. Unlike the classical global setting, local systems may exhibit a richer symbolic and geometric st…
Exponential Mixing for Hyperbolic Flows on Non-Compact Spaces
Nicola Bertozzi, Claudio Bonanno, Paulo Varandas
We introduce a family of hyperbolic flows on non-compact phase spaces that includes the geodesic flow on the modular surface. For these systems we prove exponential decay of correl…
A Dynamical Approach to Non-Extensive Thermodynamics
Artur O. Lopes, Paulo Varandas
We develop a non-extensive thermodynamic formalism for the one-sided shift on a finite alphabet, inspired by Tsallis' generalization of Boltzmann entropy in statistical physics. We…
Shift operators and their classification
Maria Carvalho, Udayan B. Darji, Paulo Varandas
We introduce a class of linear bounded invertible operators on Banach spaces, called shift operators, which comprises weighted backward shifts and models finite products of weighte…
Sensitivity and historic behavior for continuous maps on Baire metric spaces
M. Carvalho, V. Coelho, L. Salgado +1
We introduce a notion of sensitivity, with respect to a continuous bounded observable, which provides a sufficient condition for a continuous map, acting on a Baire metric space, t…
(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms
M. Carvalho, P. Varandas
We establish sufficient conditions for the upper semicontinuity and the continuity of the entropy of Sinai probability measures invariant by partially hyperbolic diffeomorphisms an…