Coin Tossing as a Billiard Problem
| Autor: | Andrew D. Jackson, Rupak Chatterjee, N. L. Balazs |
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| Jazyk: | angličtina |
| Rok vydání: | 1995 |
| Předmět: | |
| Popis: | We demonstrate that the free motion of any two-dimensional rigid body colliding elastically with two parallel, flat walls is equivalent to a billiard system. Using this equivalence, we analyze the integrable and chaotic properties of this new class of billiards. This provides a demonstration that coin tossing, the prototypical example of an independent random process, is a completely chaotic (Bernoulli) problem. The related question of which billiard geometries can be represented as rigid body systems is examined. 16 pages, LaTex |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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