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Realization of a Choquet simplex as the set of invariant probability measures of a tiling system
(CAMBRIDGE UNIV PRESS, 2006-10)
In this paper we show that, for every Choquet simplex K and for every d > 1, there exists a Z(d)-Toeplitz system whose set of invariant probability measures is affine homeomorphic to K. Then, we conclude that K may be ...
Topological orbit equivalence classes and numeration scales of logistic maps
(CAMBRIDGE UNIV PRESS, 2012)
We show that every uniquely ergodic minimal Cantor system is topologically orbit equivalent to the natural extension of a numeration scale associated to a logistic map.
Eigenvalues of Toeplitz minimal systems of finite topological rank
(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 ...
Choquet simplices as spaces of invariant probability measures on post-critical sets
(ELSEVIER SCIENCE BV, 2010)
A well-known consequence of the ergodic decomposition theorem is that the space of invariant probability Measures of a topological dynamical system, endowed with the weak* topology, is a non-empty metrizable Choquet simplex. ...
Index theory and implementability of unitary representations of CAR algebras
(Universidad de los AndesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2022-06-02)
La idea principal de este trabajo es entender las conexiones que existen entre teoría del índice y el problema de implementación de simetrías unitarias en estructuras algebraicas como las álgebras de Clifford y las álgebras ...