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Topological Entropy Iii: Yuzvinskii's Formula

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Book Id: WPLBN0000676036
Format Type: PDF eBook
File Size: 154.60 KB
Reproduction Date: 2005
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Title: Topological Entropy Iii: Yuzvinskii's Formula  
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Language: English
Subject: Science., Mathematics, Logic
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Topological Entropy Iii: Yuzvinskii's Formula. (n.d.). Topological Entropy Iii: Yuzvinskii's Formula. Retrieved from http://kindle.worldlibrary.net/


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Mathematics document containing theorems and formulas.

Excerpt
Excerpt: At the end of the last chapter we arrived at a formula for the entropy of atoral endomorphism, by first finding the entropy of a linear transformation of Rn. We now extend this calculation to linear maps of finite{dimensional vector spaces over local fields. Products of such vector spaces cover certain compact abelian groups called solenoids, and we will use this fact to arrive at a formula for the entropy of automorphisms of solenoids.

 

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