3 papers
math.DS2021
Chain Recurrence and Positive Shadowing in Linear Dynamics
Mayara Braz Antunes, Gabriel Elias Mantovani, Régis Varão
We study shadowing and chain recurrence in the context of linear operators acting on Banach spaces or even on normed vector spaces. We show that for linear operators there is only…
math.DS2017
Haar systems, KMS states on von Neumann algebras and -algebras on dynamically defined groupoids and Noncommutative Integration
Gilles G. de Castro, Artur O. Lopes, Gabriel Mantovani
We analyse certain Haar systems associated to groupoids obtained by certain natural equivalence relations of dynamical nature on sets like , $\{1,2,...,d\…
math.DS2017
The KMS Condition for the homoclinic equivalence relation and Gibbs probabilities
A. O. Lopes, G. Mantovani
D. Ruelle considered a general setting where he is able to characterize equilibrium states for Hölder potentials based on properties of conjugating homeomorphism in the so called S…