We exploit the techniques developed in [Le] to study N -expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M with nonwandering set Ω(f) being the whole of M then f is expansive. This condition on the nonwandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on a surface with genus 2 ...

purpose the aim of this study was to investigat the offensive efficiency of the professional handball players forming the front and rear lines. methods our investigation was carried out on four matches (final, semi-finals and classifying match) at the 19th male handball world championship “tunisia 2005”. finalist teams were tunisia, france, croatia, and spain. matches were recorded using 5 digi...

Abstract We develop a technique, pseudo-suspension, that applies to invariant sets of homeomorphisms class annulus we describe, Handel–Anosov–Katok (HAK) homeomorphisms, generalize the homeomorphism first described by Handel. Given HAK and Cantor set, pseudo-suspension yields new space combines features both original homeomorphisms. This allows us answer well known open question providing examp...

Surface Homeomorphisms That Do Not Extend to Any Handlebody and the Johnson Filtration

Notes for the summer school Symbolic dynamics and homeomorphisms of the Cantor set,

The main result of this paper is a universal finiteness theorem for the set of all small dilatation pseudo-Anosov homeomorphisms φ : S → S, ranging over all surfaces S. More precisely, we consider pseudo-Anosov homeomorphisms φ : S → S with |χ(S)| log(λ(φ)) bounded above by some constant, and we prove that, after puncturing the surfaces at the singular points of the stable foliations, the resul...

My research primarily uses close analysis of the dynamics of a group or semigroup action on a space to discern properties of the group or semigroup. In particular, I am primarily interested in groups of automorphisms of a space and in semigroups of endomorphisms of a space. Supporting this, I have a secondary focus on topological and symbolic dynamics, which itself has lead me to an interest in...

Given a Sobolev homeomorphism f ? W 2,1 in the plane we find piecewise quadratic that approximates it up to set of ? measure. We show this map can be approximated by diffeomorphisms norm on set.

introduction: radiography is one of the most important diagnostic methods for evaluation of dental caries. on the other hand, the least amount of radiation along with high quality is a main gold standard. the purpose of this study was to compare the diagnostic accuracy of primax, insight radiographic films, and direct digital images (schick cmos-aps), in detection of interproximal natural carie...