Weak convergence of measures in conservative systems

DOI10.1007/s10958-005-0233-9zbMath1120.37002OpenAlexW2052867631MaRDI QIDQ997768

Dmitrij V. Treshev, Valery V. Kozlov

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0233-9

zbMATH Keywords

second law of thermodynamicsgeodesic flowsweak limitfamilies of probability measuresformula for the limit measureHamiltonian quasi-homogeneous systemsone-parameter group of diffeomorphismsrate of the shiftshifts of a given measure

Mathematics Subject Classification ID

Foundations of thermodynamics and heat transfer (80A05) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Homogeneous flows (37A17)

Related Items

Non-uniform Kozlov–Treschev averagings in the ergodic theorem

Cites Work

• Kinetics of collisionless continuous media