Dissertation > Excellent graduate degree dissertation topics show

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 measure-theoretic r-pressure topological r-pressure variational principle
CLC: O19
Type: Master's thesis
Year: 2013
Downloads: 3
Quote: 0
Read: Download Dissertation


In this thesis, We introduce the concepts of measure-theoretic r-pressure and topological r-pressure of a continuous map on a compact metric space, and discusses some important properties. Meanwhile, we get the results as follows:Measure-theoretic pressure is the limit of measure-theoretic r-pressure and topological pres-sure is the limit of topological r-pressure (r→0). The paper is organized as follows:In chapter one, we mainly review the development of the entropy and the topo-logical 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 measure-theoretic r-pressure and topological r-pressure, discuss some properties and prove both convergence theorems.

Related Dissertations

  1. Ultra- linear elliptic equations existence and multiplicity,O175.25
  2. Multifractal Analysis of Local Entropy for a Sequence of Functions and Topological Sequence Pressure,O19
  3. Analysis of Singular Configuration Characteristics and Its Application Research of Mechanism,TH112
  4. Topological Entropy of Proper Map,O189.1
  5. Thermoelastic porous structure of linear and nonlinear static and dynamic characteristics of,O343.6
  6. A Natural Neighbours Method Based on Fraeijs de Veubeke Variational Principle,O344.1
  7. Damage Mechanics estimate plate member fatigue crack initiation life,O346.5
  8. Application of the Variation Method to the Primary Study of Aeroelasticity,V211.47
  9. Research on the Quasi-variational Principle for Dynamics of Rigid Bodies and Their Application,O313.3
  10. Low- floor light rail vehicle wheel-rail contact problem of,U211.5
  11. The Applications of Nonsmooth Version Ricceri’s Variational Principle to the p(x)-Laplacian Equation,O175.8
  12. Levitin-Polyak Well-Posedness of Vector Equilibrium Problems,O177
  13. Numerical Methods for Linear Systems from Fictitious Domain Methods,O241.6
  14. Structure Optimal Design in Soil Nailing Based on Variational Principle,TU753
  15. Vectorial Ekeland Variational Principle with a w-distance and Its Equivalent Formulations,O177
  16. A Vectorial Ekeland’s Variational Principle in Fréchet Spaces and Its Equivalent Theorems,O177
  17. Multiple Solutions of a Singular Equation on Unbounded Domain Involving the p-Laplacian,O175.8
  18. Estimations of Hausdorff Dimension for C~1 Random Expanding Map,O19
  19. The Topological Pressure on the Irregular Set for Almost Additive Potentials,O189
  20. The Local Topological Pressure Variational Principle for Sub-additive Potentials,O19
  21. Infinite Iterated Function Systems with Overlaps,O174

CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
© 2012 www.DissertationTopic.Net  Mobile