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The generalized Markov measure as an equilibrium state
In this paper, we continue development of the theory of contractive Markov systems (CMS) initiated in \cite{Wer1}. Also, this work can be seen as a small contribution to the theory of equilibrium states. We construct an energy function on the code space, using the coding map from \cite{Wer3}, and sh...
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Lenguaje: | eng |
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2005
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Acceso en línea: | http://cds.cern.ch/record/829742 |
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author | Werner, I |
author_facet | Werner, I |
author_sort | Werner, I |
collection | CERN |
description | In this paper, we continue development of the theory of contractive Markov systems (CMS) initiated in \cite{Wer1}. Also, this work can be seen as a small contribution to the theory of equilibrium states. We construct an energy function on the code space, using the coding map from \cite{Wer3}, and show that the generalized Markov measure associated with an irreducible CMS is a unique equilibrium state for this energy function if the vertex sets form an open partition of the state space of the CMS and the restrictions of the probability functions on their vertex sets are Dini-continuous and bounded away from zero. |
id | cern-829742 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2005 |
record_format | invenio |
spelling | cern-8297422019-09-30T06:29:59Zhttp://cds.cern.ch/record/829742engWerner, IThe generalized Markov measure as an equilibrium stateMathematical Physics and MathematicsIn this paper, we continue development of the theory of contractive Markov systems (CMS) initiated in \cite{Wer1}. Also, this work can be seen as a small contribution to the theory of equilibrium states. We construct an energy function on the code space, using the coding map from \cite{Wer3}, and show that the generalized Markov measure associated with an irreducible CMS is a unique equilibrium state for this energy function if the vertex sets form an open partition of the state space of the CMS and the restrictions of the probability functions on their vertex sets are Dini-continuous and bounded away from zero.math.DS/0503644oai:cds.cern.ch:8297422005-03-28 |
spellingShingle | Mathematical Physics and Mathematics Werner, I The generalized Markov measure as an equilibrium state |
title | The generalized Markov measure as an equilibrium state |
title_full | The generalized Markov measure as an equilibrium state |
title_fullStr | The generalized Markov measure as an equilibrium state |
title_full_unstemmed | The generalized Markov measure as an equilibrium state |
title_short | The generalized Markov measure as an equilibrium state |
title_sort | generalized markov measure as an equilibrium state |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/829742 |
work_keys_str_mv | AT werneri thegeneralizedmarkovmeasureasanequilibriumstate AT werneri generalizedmarkovmeasureasanequilibriumstate |