On the Work of Jorge Lewowicz on Expansive Systems
نویسندگان
چکیده
We will try to give an overview of one of the landmark results of Jorge Lewowicz: his classification of expansive homeomorphisms of surfaces. The goal will be to present the main ideas with the hope of giving evidence of the deep and beautiful contributions he made to dynamical systems. We will avoid being technical and try to concentrate on the tools introduced by Lewowicz to obtain these classification results such as Lyapunov functions and the concept of persistence for dynamical systems. The main contribution that we will try to focus on is his conceptual framework and approach to mathematics reflected by the previously mentioned tools and fundamentally by the delicate interaction between topology and dynamics of expansive homeomorphisms of surfaces he discovered in order to establish his result. The value of a person resides in his major contribution Arab proverb freely translated.
منابع مشابه
A laboratory Study on Reinforced Expansive Soil with Granular Pile Anchors
Granular Pile Anchor (GPA) considers one of the solution foundation techniques, designed to mitigate the lifting of the sole resulting from expansive soils. This study work is to investigate the uplift movement response of (GPA) in expansive soil. The laboratory tests have been performed on an experimental. The effects of several parameters, such as length (L) of (GPA) and diameter (D), the thi...
متن کاملBehavior of Flexible Pavements on Expansive Soils
This investigation discusses the findings on analysis results of a pavement structure constructed on a relatively expansive material consisting mainly of brown clayey silt in Tebessa, Algeria. Cores were brought to the laboratory from a piece of roadwork. Remolded samples were taken from subgrade of a deteriorated road. The soils were generally found to be of medium plasticity and of a medium t...
متن کاملAn iterative method for amenable semigroup and infinite family of non expansive mappings in Hilbert spaces
begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...
متن کامل