scholarly journals Hyperbolic billiards on polytopes with contracting reflection laws

2017 ◽  
Vol 37 (6) ◽  
pp. 3079-3109
Author(s):  
Pedro Duarte ◽  
◽  
José Pedro GaivÃo ◽  
Mohammad Soufi ◽  
◽  
...  
Keyword(s):  
Hyperbolic Billiards

scholarly journals Hyperbolic billiards of pureD= 4 supergravities

2003 ◽  
Vol 2003 (05) ◽  
pp. 047-047 ◽  
Author(s):  
Marc Henneaux ◽  
Bernard Julia
Keyword(s):  
Hyperbolic Billiards

Bernoulli Property for Some Hyperbolic Billiards

2020 ◽  
Vol 25 (4) ◽  
pp. 349-382
Author(s):  
Rodrigo M.D. Andrade
Keyword(s):  
Hyperbolic Billiards

Singular sets of planar hyperbolic billiards are regular

2013 ◽  
Vol 18 (4) ◽  
pp. 425-452 ◽  
Author(s):  
Gianluigi Del Magno ◽  
Roberto Markarian
Keyword(s):  
Singular Sets ◽  
Hyperbolic Billiards

Markov partitions for two-dimensional hyperbolic billiards

1990 ◽  
Vol 45 (3) ◽  
pp. 105-152 ◽  
Author(s):  
L A Bunimovich ◽  
Yakov G Sinai ◽  
N I Chernov
Keyword(s):  
Two Dimensional ◽  
Markov Partitions ◽  
Hyperbolic Billiards

Design of Hyperbolic Billiards

2007 ◽  
Vol 273 (2) ◽  
pp. 283-304 ◽  
Author(s):  
Maciej P. Wojtkowski
Keyword(s):  
Hyperbolic Billiards

Nonuniformly hyperbolic K-systems are Bernoulli

1996 ◽  
Vol 16 (1) ◽  
pp. 19-44 ◽  
Author(s):  
N. I. Chernov ◽  
C. Haskell
Keyword(s):  
Phase Space ◽  
Lorentz Gas ◽  
Hyperbolic Billiards ◽  
Hard Balls ◽  
Nonuniformly Hyperbolic

AbstractWe prove that those non-uniformly hyperbolic maps and flows (with singularities) that enjoy the K-property are also Bernoulli. In particular, many billiard systems, including those systems of hard balls and stadia that have the K-property, and hyperbolic billiards, such as the Lorentz gas in any dimension, are Bernoulli. We obtain the Bernoulli property for both the billiard flows and the associated maps on the boundary of the phase space.

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