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Zbl 0673.58028
Gutkin, E.; Katok, A.
Weakly mixing billiards.
(English)
[A] Holomorphic dynamics, Proc. 2nd Int. Colloq. Dyn. Syst., Mexico City/Mex. 1986, Lect. Notes Math. 1345, 163-176 (1988).

[For the entire collection see Zbl 0653.00010.] \par The dynamical properties of polygonal billiards are studied using categorial approach. For certain classes of rational polygons the authors prove that correspondence directional billiard flows are weakly mixing for dense $G\sb{\delta}$-set.
[Yu.Latushkin]
MSC 2000:
*37A99 Ergodic theory

Keywords: polygonal billiards; billiard flows; $G\sb{\delta }$-set

Citations: Zbl 0653.00010

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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