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Free energy and equilibrium states for families of interval maps
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- Book Synopsis
- "We study continuity, and lack thereof, of thermodynamical properties for onedimensional dynamical systems. Under quite general hypotheses, the free energy is shown to be almost upper-semicontinuous: some normalised component of a limit measure will have free energy at least that of the limit of the free energies. From this, we deduce results concerning existence and continuity of equilibrium states (including statistical stability). Metric entropy, not semicontinuous as a general multimodal map
- About The Author
- Neil Dobbs, University College of Dublin, Ireland. Mike Todd, University of St. Andrews, Fife, United Kingdom.
- Product Details
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- ISBN
- 9781470461263
- Format
- Paperback
- Publisher
- American Mathematical Society, (22 June 2023)
- Number of Pages
- 103
- Language
- English
- Dimensions
- 254 x 178 mm
- Series:
- See all books in this series
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