activity
20242026
most citedDensity of group languages in shift spaces

1 citations · 1 across the 2 of their papers we have counts for

collaborators

9 papers

cs.FL2026

Preservation Theorems for Transducer Outputs

Valérie Berthé, Herman Goulet-Ouellet, Toghrul Karimov +2

Suppose we have a deterministic finite-state transducer and an infinite word , and run on to obtain an infinite word . Which properties of are guaranteed t…

math.DS20261 cited

Density of group languages in shift spaces

Valérie Berthé, Herman Goulet-Ouellet, Carl-Fredrik Nyberg-Brodda +2

The density of a rational language can be understood as the frequency of some pattern in the shift space, for example a pattern like "words with an even number of a given letter."…

math.DS2025

Profinite approach to S-adic shift spaces I: Saturating directive sequences

Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet

This paper is the first in a series of three, about (relatively)free profinite semigroups and S-adic representations of minimal shift spaces. We associate to each primitive S-adic…

math.GR2025

Open multiplication in relatively free profinite semigroupoids

Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet

The purpose of this paper is to extend some useful results, such as the multiplication being open, previously known for suitable finitely generated relatively free profinite semigr…

cs.FL2025

Density of rational languages under shift invariant measures

Valérie Berthé, Herman Goulet-Ouellet, Dominique Perrin

We study density of rational languages under shift invariant probability measures on spaces of two-sided infinite words, which generalizes the classical notion of density studied i…

cs.DM2025

Circularity and repetitiveness in non-injective DF0L systems

Herman Goulet-Ouellet, Karel Klouda, Štěpán Starosta

We study circularity in DF0L systems, a generalization of D0L systems. We focus on two different types of circularity, called weak and strong circularity. When the morphism is inje…