Abstract
| Original language | English |
|---|---|
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 25 |
| Issue number | 1 |
| Pages (from-to) | 59-88 |
| Number of pages | 30 |
| ISSN | 0143-3857 |
| DOIs | |
| Publication status | Published - 2005 |
| MoE publication type | A1 Journal article-refereed |
Fields of Science
- 111 Mathematics
Cite this
}
Absolute continuity of projected SRB measures of coupled Arnold cat map lattices. / Bonetto, F.; Kupiainen, A.; Lebowitz, J. L.
In: Ergodic Theory and Dynamical Systems, Vol. 25, No. 1, 2005, p. 59-88.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
AU - Bonetto, F.
AU - Kupiainen, A.
AU - Lebowitz, J. L.
PY - 2005
Y1 - 2005
N2 - 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.
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.
KW - 111 Mathematics
U2 - 10.1017/S0143385704000252
DO - 10.1017/S0143385704000252
M3 - Article
VL - 25
SP - 59
EP - 88
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 1
ER -