- 03-461 Federico Bonetto, Antti Kupiainen, Joel Lebowitz
- Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
(478K, postscript)
Oct 8, 03
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
Abstract. We study a d-dimensional coupled map lattice consisting of
hyperbolic toral automorphisms
(Arnold cat maps) that are weakly coupled by an analytic
coupling map. We construct the Sinai-Ruelle-Bowen measure
for this system and study
its marginals on the tori. We prove they are absolutely continuous
with respect to the Lebesgue measure if and only if
the coupling satisfies a nondegeneracy condition.
- Files:
03-461.src(
03-461.keywords ,
bkl.ps )