Absolute continuity of projected SRB measures of coupled Arnold cat map lattices

F. Bonetto; A. Kupiainen; J. L. Lebowitz

doi:10.1017/S0143385704000252

Absolute continuity of projected SRB measures of coupled Arnold cat map lattices

F. Bonetto, A. Kupiainen, J. L. Lebowitz

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Sammanfattning

We study a d-dimensional coupled map. lattice consisting of hyperbolic total automorphisms (Arnold cat maps) that are weakly coupled by an analytic map. We construct the Sinai-Ruelle-Bowen measure for this system and study its marginals on the tori. We prove that they are absolutely continuous with respect to Lebesgue measure if and only if the coupling satisfies a non-degeneracy condition.

Originalspråk	engelska
Tidskrift	Ergodic Theory and Dynamical Systems
Volym	25
Nummer	1
Sidor (från-till)	59-88
Antal sidor	30
ISSN	0143-3857
DOI	https://doi.org/10.1017/S0143385704000252
Status	Publicerad - 2005
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Vetenskapsgrenar

111 Matematik

Åtkomst av dokument

10.1017/S0143385704000252

Citera det här

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abstract = "We study a d-dimensional coupled map. lattice consisting of hyperbolic total automorphisms (Arnold cat maps) that are weakly coupled by an analytic map. We construct the Sinai-Ruelle-Bowen measure for this system and study its marginals on the tori. We prove that they are absolutely continuous with respect to Lebesgue measure if and only if the coupling satisfies a non-degeneracy condition.",

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AB - We study a d-dimensional coupled map. lattice consisting of hyperbolic total automorphisms (Arnold cat maps) that are weakly coupled by an analytic map. We construct the Sinai-Ruelle-Bowen measure for this system and study its marginals on the tori. We prove that they are absolutely continuous with respect to Lebesgue measure if and only if the coupling satisfies a non-degeneracy condition.

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DO - 10.1017/S0143385704000252

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