Espaces fonctionnels et théorèmes de I. Namioka
Étude de la stabilité d'un système dynamique stationnaire par la méthode de Lyapounov
Existence of invariant measures for piecewise continuous transformations
Expanding attractors
Expanding Maps of Solenoids.
Expansiveness on Compact Piecewise Linear Manifolds.
Factors and Extensions of Full Shifts.
Finite Procedures for Sofic Systems.
Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem
We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.
Flows in Networks and Hausdorff Measures Associated. Applications to Fractal Sets in Euclidian Space
Flows on Invariant Subsets and Compactifications of a Locally Compact Group
Flows on one-dimensional spaces
Flows with cyclic winding numbers groups.
Fragmentable mappings and CHART groups
The purpose of this note is two-fold: firstly, to give a new and interesting result concerning separate and joint continuity, and secondly, to give a stream-lined (and self-contained) proof of the fact that "tame" CHART groups are topological groups.
From the theorem of Ważewski to computer assisted proofs in dynamics
Function Lipschitzian mappings on convex metric spaces
Furstenberg families and sensitivity.
Furstenberg’s theorem in topological dynamics
Generalized n-colorings of links
The notion of an (n,r)-coloring for a link diagram generalizes the idea of an n-coloring introduced by R. H. Fox. For any positive integer n the various (n,r)-colorings of a diagram for an oriented link l correspond in a natural way to the periodic points of the representation shift of the link. The number of (n,r)-colorings of a diagram for a satellite knot is determined by the colorings of its pattern and companion knots together with the winding number.
Generalized recurrence, compactifications, and the Lyapunov topology
We study generalized recurrence for closed relations on locally compact spaces. This includes continuous maps and real flows. The main tools are Lyapunov functions and their compactifications. Under certain conditions it is shown that the Lyapunov functions determine the topology of the space.