SRB Measures and Homoclinic Relation for Endomorphisms

SRB Measures and Homoclinic Relation for Endomorphisms

In this paper we give an upper bound for the number of SRB measures of saddle type of local diffeomorphisms of boundaryless manifolds in terms of maximal cardinality of set of periodic points without any homoclinic relation.

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Veröffentlicht in:Journal of statistical physics 2016-04, Vol.163 (1), p.139-155
Hauptverfasser: Mehdipour, P., Tahzibi, A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Beschreibung
Zusammenfassung:In this paper we give an upper bound for the number of SRB measures of saddle type of local diffeomorphisms of boundaryless manifolds in terms of maximal cardinality of set of periodic points without any homoclinic relation.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-016-1458-3