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math.DS2024★ 1 cited
Coboundaries and eigenvalues of morphic subshifts
Paul Mercat
We define a morphic subshift as a subshift generated by the image of a substitution subshift by another substitution. In other words, it is the subshift associated with a ultimatel…
math.DS2023
Computation of invariant densities for continued fraction algorithms
Paul Mercat
We introduce the notion of matrices graph, defining continued fraction algorithms where the past and the future are almost independent. We provide an algorithm to convert more gene…
math.DS2018
Yet another characterization of the Pisot substitution conjecture
Paul Mercat, Shigeki Akiyama
We give a sufficient geometric condition for a subshift to be measurably isomorphic to a domain exchange and to a translation on a torus. And for an irreducible unit Pisot substitu…