Finite Automata and Randomness

Abstract : The lecture surveys approaches using finite automata to define several notions of (automata-theoretic) randomness.It focuses on the one hand on automata-theoretic randomness of infinite sequences in connection with automata-independent notions like disjunctivity and Borel normality.On the other hand it considers the scale of relaxations of randomness (Borel normality and disjunctivity), that is, finite-state dimension and subword complexity and their interrelations.
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Ludwig Staiger. Finite Automata and Randomness. 20th International Conference on Descriptional Complexity of Formal Systems (DCFS), Jul 2018, Halifax, NS, Canada. pp.1-10, ⟨10.1007/978-3-319-94631-3_1⟩. ⟨hal-01905642⟩

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