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120 papers · 1 filter
On Shadowing and Chain Recurrence in Linear Dynamics
Nilson C. Bernardes, Alfredo Peris
In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for oper…
On the Shadowableness of Flows With Hyperbolic Singularities
Alexander Arbieto, Andrés M. López, Elias Rego +1
In this work we study the existence of singular flows satisfying shadowing-like properties. More precisely, we prove that if C1 -vector field on a closed manifold induces a chain-r…
A general framework for the rigorous computation of invariant densities and the coarse-fine strategy
Stefano Galatolo, Maurizio Monge, Isaia Nisoli +1
In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of dynamics. We approximate…
Hölder continuous maps on the interval with positive metric mean dimension
Jeovanny M. Acevedo, Sergio Romaña, Raibel Arias
Fix a compact metric space with finite topological dimension. Let be the space of continuous maps on and the space of -Hölder continuous maps on …
Minimal distance between random orbits
Sébastien Gouëzel, Jérôme Rousseau, Manuel Stadlbauer
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in…
Density of the level sets of the metric mean dimension for homeomorphisms
Jeovanny de Jesus Muentes Acevedo, Sergio Romaña Ibarra, Raibel Arias Cantillo
Let be an -dimensional compact riemannian manifold, with . In this paper, we prove that for any , the set consisting of homeomorphisms on with lower…