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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.PR2026
Sofic measures
Marie-Pierre Béal, Vincent Jugé, Jean Mairesse +2
Sofic measures, also known as hidden Markov measures, have been extensively studied. In this paper, we survey some equivalent definitions of this notion and improve a bound for dec…
math.DS2026
Sequential densities of rational languages
Alexi Block Gorman, Dominique Perrin
We introduce the notion of density of a rational language with respect to a sequence of probability measures. We prove that if is a sequence of Bernoulli measures convergin…