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Continuous self maps of R pressure and R pressure measure topology
Author: ChenYaMing
Tutor: ChenErCai
School: Nanjing Normal University
Course: Basic mathematics
Keywords: topological pressure measuretheoretic rpressure topological rpressure variational principle
CLC: O19
Type: Master's thesis
Year: 2013
Downloads: 3
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Abstract
In this thesis, We introduce the concepts of measuretheoretic rpressure and topological rpressure of a continuous map on a compact metric space, and discusses some important properties. Meanwhile, we get the results as follows:Measuretheoretic pressure is the limit of measuretheoretic rpressure and topological pressure is the limit of topological rpressure (r→0). The paper is organized as follows:In chapter one, we mainly review the development of the entropy and the topological pressure.In chapter two, we recall some classical definitions and lemmas in topological dynamical system and ergodic theory.In chapter three, we introduce the notions of measuretheoretic rpressure and topological rpressure, discuss some properties and prove both convergence theorems.

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