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The topological properties of "weak mixing" and "strong mixing" for topological transformation groups have been introduced and investigated and many analogous results have been derived. Let us adopt the following definitions and notations. We will restrict our attention to topological transformation groups (X, T) with compact metrizable phase space X. We(More)
We consider the context of a three-person game in which each player selects strings over {0, 1} and observe a series of fair coin tosses. The winner of the game is the player whose selected string appears first. Recently, Chen et al. [4] showed that if the string length is greater and equal to three, two players can collude to attain an advantage by(More)
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