The chain polynomial of a finite lattice \( \mathcal{L} \) is given by \( p_\mathcal{L} (x) = \sum_{k \geq 0} c_k(\mathcal{L})x^k \), where \( c_k(\mathcal{L}) \) is the number of chains of length \( k \) in \( \mathcal{L} \). The chain polynomials of posets in several important classes have...

I will present some ongoing work about densities of regular languages in minimal shift spaces. We will focus on the density of group languages, i.e. languages recognized by morphisms onto finite groups. Working within the skew product of the shift space and the recognizing group, a simple...

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