The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
The Ergodic Theory of Axiom A Flows.
The existence of an a.c.i.p.m. for an expanding map of the interval; the study of a counterexample
The four positive vortices problem : regions of chaotic behavior and the non-integrability
The homeomorphism group of the hairy arc
The homotopy class of non-singular Morse-Smale vector fields on 3-manifolds.
The Intersection of Four Quadrics in IP6, Abelian Surfaces and their Moduli.
The K-property of N billiard balls I.
The K-property of N billiard balls II. Computation of neutral linear spaces.
The Lipschitz condition for the conjugacies of Feigenbaum-like mappings
The magnetic geodesic flow on a homogeneous symplectic manifold.
The nonexistence of expansive homeomorphisms of dendroids
The Periodic Behavior of Morse-Smale Diffeomorphisms.
The periodic structure of non-singular Morse-Smale flows.
The return sequence of the Bowen-Series map for punctured surfaces
For a non-compact hyperbolic surface M of finite area, we study a certain Poincaré section for the geodesic flow. The canonical, non-invertible factor of the first return map to this section is shown to be pointwise dual ergodic with return sequence (aₙ) given by aₙ = π/(4(Area(M) + 2π)) · n/(log n). We use this result to deduce that the section map itself is rationally ergodic, and that the geodesic flow associated to M is ergodic with respect to the Liouville measure. ...
The Riccati equation: pinching of forcing and solutions.
The simplest shadowing
Two different and easy proofs are presented that a hyperbolic linear homeomorphism of a Banach space admits the shadowing.
The size of scrambled sets: n-dimensional case
The structure of Lorenz attractors
The study of the chaotic behavior in retailer's demand model.