4 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…