World Library  

QR link for Topological Entropy Ii: Homogeneous Measures
Add to Book Shelf
Flag as Inappropriate
Email this Book

Topological Entropy Ii: Homogeneous Measures

Click here to view

Book Id: WPLBN0000676035
Format Type: PDF eBook
File Size: 197.21 KB
Reproduction Date: 2005

Title: Topological Entropy Ii: Homogeneous Measures  
Author:
Volume:
Language: English
Subject: Science., Mathematics, Logic
Collections:
Historic
Publication Date:
Publisher:

Citation

APA MLA Chicago

Topological Entropy Ii: Homogeneous Measures. (n.d.). Topological Entropy Ii: Homogeneous Measures. Retrieved from http://community.ebooklibrary.org/


Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: In this section we show how the topological entropy of simple examples may be computed explicitly, and then show that in good situations certain measure{ theoretic entropies may be deduced. A topological Kolmogorov {Sinai type theorem We have seen that if f ng is a sequence of open covers with diam( n) ! 0, then h(T) = limn!1 h(T; n). This is a topological analogue of Theorem 4.10. We now give a topological analogue of Theorem 4.6. Let X denote a compact metric space. A homeomorphism T : X ! X is expansive if there is an expansive constant > 0 with the property that if x 6= y then there is an n 2 Z with d(Tn; Tny) > . A finite open cover is a generator for T if for each map : Z ! , the set T1n = 1 T n ( n) contains at most one point of X. A finite open cover is a weak generator for T if for each map : Z ! , the set T1n = 1 T n (n) contains at most one point of X.

 

Click To View

Additional Books


  • The Point of View (by )
  • The Pension Beaurepas (by )
  • The Patagonia (by )
  • The Papers (by )
  • The Papers (by )
  • The Middle Years (by )
  • The Marriages (by )
  • The Liar (by )
  • The Lesson of the Master (by )
  • The Jolly Corner (by )
  • The Great Good Place (by )
  • The Great Condition (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.