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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Open Access Original Articles

Multifractal Analysis for Gibbs Ground States

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pp. 147–158Vol. 4Issue 2November 2006DOI: 10.1080/1726037X.2006.10698512XML
Received:
22 Dec 2005
Published Online:
01 Nov 2006
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2006.10698512
Pages:
147–158

Abstract

We consider a family of Gibbs states describing the multifractal spectrum of local entropies. An accumulation point μ∞ of this sequence may be called a Gibbs ground state or a zero temperature limit, because the interpretation of q as the inverse of the temperature. We prove that, in more general systems than symbolics, that μ∞ is a maximizing measure. We also do geometric and combinatorial approaches as well as some interpretations in a particular case.

Keywords

References

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