TY - JOUR
T1 - SRB measures as zero-noise limits
AU - Cowieson, William
AU - Young, Lai Sang
PY - 2005/8
Y1 - 2005/8
N2 - We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.
AB - We consider zero-noise limits of random perturbations of dynamical systems and examine, in terms of the continuity of entropy and Lyapunov exponents, circumstances under which these limits are Sinai-Ruelle-Bowen (SRB) measures. The ideas of this general discussion are then applied to specific classes of attractors. We prove, for example, that partially hyperbolic attractors with one-dimensional center subbundles always admit SRB measures.
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U2 - 10.1017/S0143385704000604
DO - 10.1017/S0143385704000604
M3 - Article
AN - SCOPUS:23444448555
VL - 25
SP - 1115
EP - 1138
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 4
ER -