ergodic theory, a Sinai–Ruelle–Bowen (SRB) measure is an invariant measure that behaves similarly to, but is not an ergodic measure. In order to be ergodic...

theory Dobrushin–Lanford–Ruelle equations Fluid mechanics Haag–Ruelle scattering theory Ruelle zeta-function Sinai–Ruelle–Bowen measure Statistical physics...

separation, Sinai's random walk, Sinai–Ruelle–Bowen measures, and Pirogov–Sinai theory, Bleher–Sinai renormalization theory. Sinai has overseen more than 50...

under time evolution. For hyperbolic dynamical systems, the Sinai–Ruelle–Bowen measures appear to be the natural choice. They are constructed on the...

system and has been used as a measure of complexity in many diverse fields. In information processing, complexity is a measure of the total number of properties...

where they may be shown to support invariant random probability measures of Sinai–Ruelle–Bowen type. Examples of strange attractors include the double-scroll...

class of u-measures for partially hyperbolic systems which are a direct analog in this setting of the famous Sinai-Ruelle-Bowen (SRB) measures. 2) Pesin's...

theorem applies. An important special case of conservative systems are the measure-preserving dynamical systems. Informally, dynamical systems describe the...

MR 0684248. Benedicks, Michael; Young, Lai-Sang (1993), "Sinaĭ–Bowen–Ruelle measures for certain Hénon maps", Inventiones Mathematicae, 112 (3): 541–576...

{\displaystyle f\colon M\to M} there exists a unique SRB measure (the acronym stands for Sinai, Ruelle and Bowen) μ f {\displaystyle \mu _{f}} supported on M {\displaystyle...

1007/bf01208896. S2CID 122105442. Benedicks, M.; Young, L.-S. (1993). "Sinai–Bowen–Ruelle measures for certain Henon maps". Inventiones Mathematicae. 112 (1): 541–576...

Rothemund Linda Preiss Rothschild Samarendra Nath Roy Karl Rubin David Ruelle Mari-Jo P. Ruiz Mary Beth Ruskai Pardis Sabeti Gerald Sacks Amit Sahai Anupam...