Browsing by Author "Durand, Fabien"
Now showing items 1-5 of 5
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Espinoza Contreras, Bastián Alejandro (Universidad de Chile, 2023)Esta tesis se centra en el estudio de los subshifts minimales a través de secuencias S-ádicas. Primero, investigamos los automorfismos y factores de subshifts minimales generados por secuencias S-ádicas con alfabetos de ...
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Frank Marambio, Alexander Leberecht (Universidad de Chile, 2014)El objetivo de esta tesis es presentar condiciones para analizar la existencia de valores propios en algunas familias de sistemas de Bratteli-Vershik minimales. Ésto expande los resultados obtenidos hasta el día de hoy en ...
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Durand, Fabien; Frank, Alexander; Maass Sepúlveda, Alejandro (Cambridge University Press, 2015)In this paper we characterize measure-theoretical eigenvalues of Toeplitz Bratteli–Vershik minimal systems of finite topological rank which are not associated to a continuous eigenfunction. Several examples are provided ...
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Bressaud, Xavier; Durand, Fabien; Maass Sepúlveda, Alejandro (LONDON MATH SOC, MORGAN HOUSE, 2005-12)Necessary and sufficient conditions are given for linearly recurrent Cantor dynamical systems to have measurable and continuous eigenfunctions. Also an example of a linearly recurrent system with a nontrivial Kronecker ...
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Donoso, Sebastián; Durand, Fabien; Maass Sepúlveda, Alejandro; Petite, Samuel (Cambridge University Press, 2016)In this article, we study the automorphism group Aut.X; / of subshifts .X; / of low word complexity. In particular, we prove that Aut.X; / is virtually Z for aperiodic minimal subshifts and certain transitive subshifts ...