Opening book details…
Can I read Infinite-dimensional SRB measures on EtoBox?
Infinite-dimensional SRB measures by J. Bricmont; A. Kupiainen is a Physics and Astronomy article available to read on EtoBox.
What is Infinite-dimensional SRB measures about?
We review the basic steps leading to the construction of a Sinai-Ruelle-Bowen (SRB) measure for an infinite lattice of weakly coupled expanding circle maps, and we show that this measure has exponential decay of space-time correlations. First, using the Perron-Frobenius operator, one connects the dynamical system of coupled maps on a d-dimensional lattice to an equilibrium statistical mechanical model on a lattice of dimension d + 1. This lattice model is, for weakly coupled maps, in a high-temperature phase, and we use a general, but very elementary, method to prove exponential decay of correlations at high temperatures.
Who reads Infinite-dimensional SRB measures?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- J. Bricmont; A. Kupiainen
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-2789)
- Published
- 1997
- Language
- ID
- Field
- Physics and Astronomy (Physical Sciences)