Progress in Mathematics

Thermodynamic Formalism and Applications to Dimension Theory

Authors: Barreira, Luis

  • First comprehensive exposition of several main extensions of the thermodynamic formalism.
  • The emphasis of the text is on the relation to dimension theory and multifractal analysis.
  • Includes a discussion of very recent results in the area as well as some open problems.
  • The text is self-contained and all the results are included with detailed proofs.
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eBook $109.00
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Hardcover $139.00
price for USA
  • ISBN 978-3-0348-0205-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • ISBN 978-3-0348-0336-6
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  • Usually dispatched within 3 to 5 business days.
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About this book

This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.

Reviews

From the reviews:

“This book gives a detailed account of the connection between two areas of dynamical systems, the thermodynamic formalism and dimension theory in dynamical systems. … The book is probably best read by someone already familiar with the basics of ergodic theory, dynamical systems, and the Hausdorff dimension … . the book gives the reader a good grounding in both thermodynamical formalism and applying the thermodynamic formalism to prove results in the dimension theory of dynamical systems.” (Thomas Michael Jordan, Mathematical Reviews, March, 2014)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-0206-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-0348-0205-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-0336-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Thermodynamic Formalism and Applications to Dimension Theory
Authors
Series Title
Progress in Mathematics
Series Volume
294
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0206-2
DOI
10.1007/978-3-0348-0206-2
Hardcover ISBN
978-3-0348-0205-5
Softcover ISBN
978-3-0348-0336-6
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XII, 300
Topics