Dynamical Systems, Seminarios

Playing with Subshifts

Abstract:

 

We study the class of word-building games, where two players pick letters from afinite alphabet to construct a finite or infinite word.

The outcome is determined by whether the resulting word lies in a prescribed set (a win for player A) or not (a win for player B).

We focus on symbolic dynamical games, where the target set is a subshift.

We investigate the relation between the target subshift and the set of turn orders for which A has a winning strategy.

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