Publications



Topological orbit equivalence classes and numeration scales of logistic maps. Joint work with Juan Rivera-Letelier. Accepted for publication in Ergodic Theory Dynam. Systems.

Invariant measures for non-primitive tiling substitutions. Joint work with Boris Solomyak. J. Anal. Math. 115 (2011), 293-342.

Linearly repetitive Delone systems have a finite number of non periodic Delone system factors. Joint work with Fabien Durand and Samuel Petite. Proc. Amer. Math. Soc. 138 (2010), 1033-1046.

Choquet simplices as spaces of invariant probability measures on post-critical sets. Joint work with Juan Rivera-Letelier. Ann. Inst. H. Poincaré Anal. Non Linéaire. 27 (2010), 95-115.

Invariant measures of minimal post-critical sets of logistic maps. Joint work with Juan Rivera-Letelier. Israel J. Math. 176 (2010), 157–193.

G-odometers and their almost 1-1 extensions. Joint work with Samuel Petite. J. London Math. Soc. (2) 78 (2008) 1--20.

Self-similar tiling systems, topological factors and stretching factors. Joint work with Fabien Durand. Disc. and Comp. Geometry (2008) 40: 622--640.

Rotation topological factors of minimal Z^d-actions of the Cantor set. Joint work with Jean-Marc Gambaudo and Maass, Alejandro. Trans. Amer. Math. Soc. 359 (2007), no. 5, 2305--2315.

Realization of a Choquet simplex as the set of invariant probability measures of a tiling system. Ergodic Theory Dynam. Systems 26 (2006), no. 5, 1417--1441.

Z^d Toeplitz arrays. Discrete Contin. Dyn. Syst. 15 (2006), no. 3, 859--881.

Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Joint work with Fabien Durand, Bernard Host and Alejandro Maass. J. London Math. Soc. (2) 67 (2003), no. 3, 790--804.

Preprints



Set of invariant measures of generalized Toeplitz subshifts. Joint work with Samuel Petite. Submitted.

Recent and future talks



Invariant measures of non-primitive substitution tiling systems. Almost periodic order: spectral, dynamical, and stochastic approaches. Banff, Canada. September 25-30, 2011.

Realization of some orbit equivalence classes. 4th Pingree Park Dynamics Workshop. Pingree Park, Colorado, USA, August 6 - 11, 2011. Slides.

Dimension groups and generalized odometers. First joint meeting AMS-SOMACHI , Special Session on Group Actions: Probability and Dynamics. Pucón, Chile. December 2010. Slides.

Invariant measures of non minimal substitution tiling systems. Bicentennial Workshop on Dynamical Systems. San Pedro de Atacama, Chile. May 2010. Slides.

Choquet simplices as the set of invariant probability measures of a postcritical set. First PRIMA Congress, Special Session of Dynamical Systems. Sydney, Australia. June 2009. Slides.

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