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Thermodynamic formalism and circle homeophormisms with a break-type singularity

A renormalization group (RG) transformation on the space of circle homeomorphisms with break-type singularity point and with the rotation number $\rho =\genfrac{\sqrt{5}-1}{2}$ (``golden mean'') has a unique periodic trajectory $\{T_{1},T_{2}\}$ with period two. For homeomorphisms $T$ whic...

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Detalles Bibliográficos
Autores principales: Dzhalilov, A A, Karshibaev, H
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/646685
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author Dzhalilov, A A
Karshibaev, H
author_facet Dzhalilov, A A
Karshibaev, H
author_sort Dzhalilov, A A
collection CERN
description A renormalization group (RG) transformation on the space of circle homeomorphisms with break-type singularity point and with the rotation number $\rho =\genfrac{\sqrt{5}-1}{2}$ (``golden mean'') has a unique periodic trajectory $\{T_{1},T_{2}\}$ with period two. For homeomorphisms $T$ which are $C^{1}-$conjugate to $T_{1}$ $($ or $T_{2})$ the behavior of Holder's exponents of singular invariant measure are studied. Limit distributions of entrance times are also studied.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-6466852019-09-30T06:29:59Zhttp://cds.cern.ch/record/646685engDzhalilov, A AKarshibaev, HThermodynamic formalism and circle homeophormisms with a break-type singularityXXA renormalization group (RG) transformation on the space of circle homeomorphisms with break-type singularity point and with the rotation number $\rho =\genfrac{\sqrt{5}-1}{2}$ (``golden mean'') has a unique periodic trajectory $\{T_{1},T_{2}\}$ with period two. For homeomorphisms $T$ which are $C^{1}-$conjugate to $T_{1}$ $($ or $T_{2})$ the behavior of Holder's exponents of singular invariant measure are studied. Limit distributions of entrance times are also studied.IC-2002-51oai:cds.cern.ch:6466852002
spellingShingle XX
Dzhalilov, A A
Karshibaev, H
Thermodynamic formalism and circle homeophormisms with a break-type singularity
title Thermodynamic formalism and circle homeophormisms with a break-type singularity
title_full Thermodynamic formalism and circle homeophormisms with a break-type singularity
title_fullStr Thermodynamic formalism and circle homeophormisms with a break-type singularity
title_full_unstemmed Thermodynamic formalism and circle homeophormisms with a break-type singularity
title_short Thermodynamic formalism and circle homeophormisms with a break-type singularity
title_sort thermodynamic formalism and circle homeophormisms with a break-type singularity
topic XX
url http://cds.cern.ch/record/646685
work_keys_str_mv AT dzhalilovaa thermodynamicformalismandcirclehomeophormismswithabreaktypesingularity
AT karshibaevh thermodynamicformalismandcirclehomeophormismswithabreaktypesingularity