[Untitled]
- Resource Type
- Authors
- B. Kamiński; Maurice Courbage
- Source
- Journal of Statistical Physics. 112:421-427
- Subject
- Discrete mathematics
Pure mathematics
Lorentz transformation
Statistical and Nonlinear Physics
Astrophysics::Cosmology and Extragalactic Astrophysics
Action (physics)
Ideal gas
symbols.namesake
symbols
Astrophysics::Solar and Stellar Astrophysics
Standard probability space
Astrophysics::Earth and Planetary Astrophysics
Astrophysics::Galaxy Astrophysics
Mathematical Physics
Mathematics
- Language
- ISSN
- 0022-4715
It is shown that a \({\mathbb{Z}}^2 \)-action on a Lebesgue space is intrinsically random (IR) iff it is a Kolmogorov action (K-action). As a consequence we obtain the fact that the \({\mathbb{Z}}^2 \)-action defined by the Lorentz gas is an IR-action and the \({\mathbb{Z}}^2 \)-action defined by the ideal gas is not an IR-action.