Space-time chaos in the system of weakly interacting hyperbolic systems

✍ Scribed by Ya.B. Pesin; Ya.G. Sinai

• Book ID: 103906737
• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 450 KB
• Volume: 5
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/0393-0440(88)90035-6

✦ Synopsis

We considerinfinite-dimensional dynamicalsystems which are lattices of some weakly-interacting hyperbolic systems. We describe the construction of their BRS-measures which are mixing with respect to the group of space-time shifts. The proofs use methods ofstatistical mechanics.