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math.CO2021
Moore machines duality
Jacques Peyrière
We present a simple algorithm to find the Moore machine with the minimum number of states equivalent to a given one.
math.CA2021
Multiscale decompositions of Hardy spaces
Ronald R. Coifman, Jacques Peyrière
An inspiration at the origin of wavelet analysis (when Grossmann, Morlet, Meyer and collaborators were interacting and exploring versions of multiscale representations) was provide…