The Liouville property of invariant measures of completely integrable systems and the Monge-Ampère equation

DOI10.1007/BF01210221zbMath0803.58033OpenAlexW2069004508MaRDI QIDQ1326074

Valery V. Kozlov

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01210221

zbMATH Keywords

invariant measureMonge-Ampère equationcompletely integrable systemsLiouville property

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ergodic theory (37A99)

Related Items (3)

Integral invariants of the Hamilton equations ⋮ Multi-Hamiltonian property of a linear system with quadratic invariant ⋮ Integrals of circulatory systems which are quadratic in momenta

Cites Work

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