Lectures on the billiard

  • Giovanni Gallavotti
II. Ergodic Theory
Part of the Lecture Notes in Physics book series (LNP, volume 38)


These lectures together with the appendices contain all the es sential steps for a proof of the ergodicity of the dynamical system described below as (M,T,v) or "periodic billiard's section, when the obstacles are so situated that no collisionless paths are possible.


Absolute Continuity Singularity Line Main Lemma Ergodic Property Discontinuity Line 
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  1. [1]
    Sinai, J., Russian Math. Surv. 25 (1970) 132.Google Scholar
  2. [2]
    Bunimovitch, L., J. Sinai, Mat. Schor. 90, 416, 197.Google Scholar
  3. [3]
    Gallavotti, G., and Ornstein, D., Comm. Math. Phys. 38 (1974) 83.Google Scholar
  4. [4]
    Sinai, J., Isvestia Math. Nauk 30 (1966) 15.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Giovanni Gallavotti
    • 1
  1. 1.Istituto di Fisica Teorica, Universita di NapoliItalia

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