Shifts of k-nested sequences

Abstract : We introduce a new class of subshifts of sequences, called k-graph shifts, which expresses nested constraints on k symbols instead of on two symbols like for Dyck shifts. These shifts share many properties with Markov-Dyck shifts but are generally not conjugate to them. We prove that they are conjugate to sofic-Dyck shifts. We give a computation of the multivariate zeta function for this class of shifts.
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  • HAL Id : hal-01790002, version 1

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Marie-Pierre Béal, Pavel Heller. Shifts of k-nested sequences . Theoretical Computer Science, Elsevier, 2016, 658, pp.18-26. ⟨hal-01790002⟩

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