2 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
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…
Geometrical representation of subshifts for primitive substitutions
Paul Mercat
For any primitive substitution whose Perron eigenvalue is Pisot unit, we construct a domain exchange measurably conjugated to the subshift. And we give a condition for the subshift…
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…
Construction of uniformly bounded periodic continued fractions
Paul Mercat
We build, for real quadratic fields, infinitely many periodic continuous fractions uniformly bounded, with a seemingly better bound than the known ones. We do that using continuous…