A proof of Prigogine's conjecture on the nonreducibility of Liouvillian dynamics to Hamiltonian dynamics.

zbMath1045.37047MaRDI QIDQ1432494

M. O. Smolyanova, O. G. Smolyanov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Liouville equationsinfinite-dimensional linear Hamilton equationsPrigogine conjecture

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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