Billiards and Conditionally Invariant Probabilities

Authors

  • Artur Lopes Universidade do Rio Grande do Sul. Instituto de Matemática
  • Roberto Markarian Universidad de la Republica. Instituto de Matematica y Estadistica

DOI:

https://doi.org/10.11606/resimeusp.v1i4.74669

Keywords:

Open billiard, Horse-shoe, Invariant probability

Abstract

We analyze the dynamics of a class of billiards (the open billiard on the plane) in terms of invariant and conditionally invariant probabilities. The dynamical system has a horse-shoe structure. The stable and unstable manifolds are analytically described.

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Published

1994-05-01

Issue

Vol. 1 No. 4 (1994)

Section

Contents

License

Copyright (c) 1994 Artur Lopes, Roberto Markarian

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Billiards and Conditionally Invariant Probabilities. (1994). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(4), 421-439. https://doi.org/10.11606/resimeusp.v1i4.74669