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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...
Autores principales: | , |
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Lenguaje: | eng |
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2002
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Acceso en línea: | http://cds.cern.ch/record/646685 |
_version_ | 1780900861834166272 |
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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. |
id | cern-646685 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2002 |
record_format | invenio |
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 |