RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Sb.: Year: Volume: Issue: Page: Find

 Mat. Sb. (N.S.), 1983, Volume 121(163), Number 3(7), Pages 297–309 (Mi msb2194)

On invariant measures for classical dynamical systems with infinite-dimensional phase space

A. A. Arsen'ev

Abstract: The Kubo–Martin–Schwinger state is constructed for a Hamiltonian dynamical system whose phase space is Hilbert space, with Hamiltonian representable as the sum of two terms: the square of the norm and a function that is smooth on the completion of the original space in the nuclear norm.
Bibliography: 5 titles.

Full text: PDF file (568 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Sbornik, 1984, 49:2, 291–303

Bibliographic databases:

UDC: 517.946.9+531.19
MSC: Primary 28C10, 58F05; Secondary 47B10, 58D20, 70H05, 70H15

Citation: A. A. Arsen'ev, “On invariant measures for classical dynamical systems with infinite-dimensional phase space”, Mat. Sb. (N.S.), 121(163):3(7) (1983), 297–309; Math. USSR-Sb., 49:2 (1984), 291–303

Citation in format AMSBIB
\Bibitem{Ars83} \by A.~A.~Arsen'ev \paper On invariant measures for classical dynamical systems with infinite-dimensional phase space \jour Mat. Sb. (N.S.) \yr 1983 \vol 121(163) \issue 3(7) \pages 297--309 \mathnet{http://mi.mathnet.ru/msb2194} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=707998} \zmath{https://zbmath.org/?q=an:0542.58007} \transl \jour Math. USSR-Sb. \yr 1984 \vol 49 \issue 2 \pages 291--303 \crossref{https://doi.org/10.1070/SM1984v049n02ABEH002711} 

• http://mi.mathnet.ru/eng/msb2194
• http://mi.mathnet.ru/eng/msb/v163/i3/p297

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. N. V. Peskov, “On a Kubo–Martin–Schwinger state of the sine-Gordon system”, Theoret. and Math. Phys., 64:1 (1985), 666–672
2. I. D. Chueshov, “Equilibrium statistical solutions for dynamical systems with an infinite number of degrees of freedom”, Math. USSR-Sb., 58:2 (1987), 397–406
3. I. D. Chueshov, “Structure of the equilibrium states of a class of dynamical systems associated with Lie–Poisson brackets”, Theoret. and Math. Phys., 75:3 (1988), 640–644
4. Zhidkov P., “An Invariant Measure for a Nonlinear-Wave Equation”, Nonlinear Anal.-Theory Methods Appl., 22:3 (1994), 319–325
5. Zhidkov P., “On Invariant-Measures for Some Infinite-Dimensional Dynamical-Systems”, Ann. Inst. Henri Poincare-Phys. Theor., 62:3 (1995), 267–287
6. P. E. Zhidkov, “Invariant measures generated by higher conservation laws for the Korteweg–de Vries equations”, Sb. Math., 187:6 (1996), 803–822
7. Zhidkov, P, “Korteweg-de Vries and nonlinear Schroginger equations: Qualitative theory”, Korteweg-de Vries and Nonlinear Schroginger Equations: Qualitative Theory, 1756 (2001), 1
•  Number of views: This page: 185 Full text: 76 References: 25