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On automorphism groups of low complexity minimal subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016
Article dans une revue hal-01076427v1
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Eigenvalues and strong orbit equivalence

Maria Isabel Cortez , Fabien Durand , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016, ⟨10.1017/etds.2015.26⟩
Article dans une revue hal-01053638v1

Large normalizers of ${\mathbb Z}^{d}$-odometers systems and realization on substitutive subshifts

Christopher Cabezas , Samuel Petite
2023
Pré-publication, Document de travail hal-04215426v1

Strong Approximations of Shifts and the Characteristic Measures Problem

Van Cyr , Bryna Kra , Samuel Petite
2023
Pré-publication, Document de travail hal-04165176v1

Interplay between finite topological rank minimal Cantor systems, $\mathcal S$-adic subshifts and their complexity

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Transactions of the American Mathematical Society, 2021, 374 (5), pp.3453-3489. ⟨10.1090/tran/8315⟩
Article dans une revue hal-02509588v1
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Set of invariant measures of generalized Toeplitz subshifts

María Isabel Cortez , Samuel Petite
Groups, Geometry, and Dynamics, 2016, 8 (4), pp.1007-1047
Article dans une revue hal-00602238v1
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On automorphism groups of Toeplitz subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Discrete Analysis, 2017, 19, ⟨10.19086/da.1832⟩
Article dans une revue hal-02455371v1
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Linearly Repetitive Delone Sets

José Aliste-Prieto , Daniel Coronel , Maria Isabel Cortez , Fabien Durand , Samuel Petite
Mathematics of Aperiodic Order, 37, pp.195-222, 2015, ⟨10.1007/978-3-0348-0903-0_6⟩
Chapitre d'ouvrage hal-02463104v1

Distortion and the automorphism group of a shift

Van Cyr , John Franks , Bryna Kra , Samuel Petite
Journal of modern dynamics, 2018, 13 (1), pp.147-161. ⟨10.3934/jmd.2018015⟩
Article dans une revue hal-03344609v1
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THE VALUATIVE CAPACITY OF SUBSHIFTS OF FINITE TYPE

Youssef Fares , Samuel Petite
Journal of Number Theory, 2016, 158, pp.165-184. ⟨10.1016/j.jnt.2015.06.015⟩
Article dans une revue hal-01087861v1

G -odometers and their almost one-to-one extensions

Samuel Petite , María Isabel Cortez
Journal of the London Mathematical Society, 2008, 78 (1), pp.1-20. ⟨10.1112/jlms/jdn002⟩
Article dans une revue hal-03344714v1
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Linearly repetitive Delone systems have a finite number of non periodic Delone system factors

Maria Isabel Cortez , Fabien Durand , Samuel Petite
Proceedings of the American Mathematical Society, 2010
Article dans une revue hal-00300649v1
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Calibrated configurations for Frenkel-Kontorova type models in almost-periodic environments

Eduardo Garibaldi , Samuel Petite , Philippe Thieullen
2013
Pré-publication, Document de travail hal-00915253v2

INTERPLAY BETWEEN FINITE TOPOLOGICAL RANK MINIMAL CANTOR SYSTEMS, S-ADIC SUBSHIFTS AND THEIR COMPLEXITY

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Transactions of the American Mathematical Society, 2021, 374 (5), pp.3453-3489. ⟨10.1090/tran/8315⟩
Article dans une revue hal-03620379v1
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C*-algebras of Penrose's hyperbolic tilings

Hervé Oyono-Oyono , Samuel Petite
Journal of Geometry and Physics, 2011, 61, pp.400-424
Article dans une revue hal-00383342v2
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On the dimension group of unimodular ${\mathcal {S}}$-adic subshifts

Valérie Berthé , Paulina Cecchi Bernales , Fabien Durand , Dominique Perrin , J. Leroy , et al.
Monatshefte für Mathematik, 2021, 194 (4), pp.687-717. ⟨10.1007/s00605-020-01488-3⟩
Article dans une revue hal-03134044v1

Realization of big centralizers of minimal aperiodic actions on the Cantor set

María Isabel Cortez , Samuel Petite
Discrete & Continuous Dynamical Systems - A, 2020, 40 (5), pp.2891-2901. ⟨10.3934/dcds.2020153⟩
Article dans une revue hal-03344635v1
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On The Dimension Group of Unimodular S-Adic Subshifts

Valerie Berthe , P Cecchi Bernales , Fabien Durand , J Leroy , Dominique Perrin , et al.
2020
Pré-publication, Document de travail hal-02366494v2

On automorphism groups of low complexity subshifts

Sebastian Donoso , Fabien Durand , Alejandro Maass , Samuel Petite
Ergodic Theory and Dynamical Systems, 2016, 36 (1), pp.64-95. ⟨10.1017/etds.2015.70⟩
Article dans une revue hal-03620380v1

Classification of discrete weak KAM solutions on linearly repetitive quasi-periodic sets

Eduardo Garibaldi , Samuel Petite , Philippe Thieullen
2023
Pré-publication, Document de travail hal-04189059v1
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CONJUGACY OF UNIMODULAR PISOT SUBSTITUTIONS SUBSHIFTS TO DOMAIN EXCHANGES

Samuel Petite , Fabien Durand
2020
Pré-publication, Document de travail hal-01053723v3

Calibrated Configurations for Frenkel–Kontorova Type Models in Almost Periodic Environments

Eduardo Garibaldi , Samuel Petite , Philippe Thieullen
Annales Henri Poincaré, 2017, 18 (9), pp.2905-2943. ⟨10.1007/s00023-017-0589-7⟩
Article dans une revue hal-02496347v1

A geometric framework for asymptoticity and expansivity in topological dynamics

Sebastián Donoso , Alejandro Maass , Samuel Petite
2023
Pré-publication, Document de travail hal-03959037v1
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Self-Induced Systems

Fabien Durand , Nicholas Ormes , Samuel Petite
Journal d'analyse mathématique, 2018, ⟨10.1007/s11854-018-0051-x⟩
Article dans une revue hal-01222522v1
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ON THE SIMPLICITY OF HOMEOMORPHISM GROUPS OF A TILABLE LAMINATION

José Aliste-Prieto , Samuel Petite
Monatshefte für Mathematik, 2016, 181, pp.285-300. ⟨10.1007/s00605-016-0921-1⟩
Article dans une revue hal-01053917v1