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Ergodic Theory

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The Boltzmann Equation

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 10/1973))

Abstract

This talk is devoted to some remarks on the problem of the time evolution of systems containing a large number of particles. Do we understand approach to equilibrium? Sensitive dependence of solutions of differential equations on initial conditions. Time evolution of infinite systems. Evolution equations for dissipative systems.

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References

  1. V. Arnbld, Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications A l’hydrodynamique des fluides parfaits. Ann. Inst. Fourier. Grenoble 16, 319–361 (1966).

    Article  Google Scholar 

  2. D.G. Ebin and J. Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. of Math. 92, 102–163 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Klein, Paul Ehrenfest. North-Holland, Amsterdam, 1971.

    Google Scholar 

  4. O.E. Lanford, The classical mechanics of one-dimensional systems of infinitely many particles. I An existence theorem. Commun. math. Phys. 9, 176–191 (1968).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. O.E. Lanford, The classical mechanics of one-dimensional systems of infinitely many particles. II Kinetic theory. Commun. math. Phys. 11, 257–292 (1969).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. O. de Pazzis. Preprint.

    Google Scholar 

  7. D.W. Robinson, Statistical mechanics of quantum spin systems. I. Commun. math. Phys. 6, 151–160 (1967).

    Article  MATH  ADS  Google Scholar 

  8. D.W. Robinson, Statistical mechanics of quantum spin systems. II. Commun. math. Phys. 7, 337–348 (1968).

    Article  MATH  ADS  Google Scholar 

  9. D. Ruelle, Analyticity of Green’s functions of dilute quantum gases. J. math. Phys. 12, 901–903 (1971). Definition of Green’s functions for dilute Fermi gases. Hely. Phys. Acta. To appear.

    Article  ADS  MathSciNet  Google Scholar 

  10. D. Ruelle and F. Takens, On the nature of turbulence. Commun. math. Phys. 20, 167–192 (1971).

    Article  MATH  ADS  MathSciNet  Google Scholar 

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© 1973 Springer-Verlag

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Ruelle, D. (1973). Ergodic Theory. In: Cohen, E.G.D., Thirring, W. (eds) The Boltzmann Equation. Acta Physica Austriaca, vol 10/1973. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8336-6_24

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  • DOI: https://doi.org/10.1007/978-3-7091-8336-6_24

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8338-0

  • Online ISBN: 978-3-7091-8336-6

  • eBook Packages: Springer Book Archive

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