Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C. |
|
1999
|
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien |
|
1998
|
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien |
|
2000
|
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric |
|
2009
|
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2016
|
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien |
|
2010
|
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F. |
|
1998
|
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien |
|
2011
|
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro |
|
2005
|
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro |
|
2003
|
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro |
|
2010
|
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro |
|
2004
|
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien |
|
2013
|
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël |
|
2013
|
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro |
|
2019
|
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien |
|
2002
|
Interplay between finite topological rank minimal Cantor systems, \( \mathcal S\)-adic subshifts and their complexity. Zbl 1465.37016
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2021
|
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel |
|
2009
|
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2017
|
Dimension groups and dynamical systems. Substitutions, Bratteli diagrams and Cantor systems. Zbl 1493.37002
Durand, Fabien; Perrin, Dominique |
|
2022
|
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F. |
|
2002
|
On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S. |
|
2021
|
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien |
|
2013
|
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel |
|
2013
|
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. |
|
2018
|
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro |
|
2015
|
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2016
|
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel |
|
2018
|
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien |
|
2012
|
On recognizable sets of integers.
(Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien |
|
1998
|
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2015
|
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien |
|
2012
|
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien |
|
2017
|
Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041
Dartnell, P.; Durand, F.; Maass, A. |
|
2000
|
Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004
Durand, Fabien; Maass, Alejandro |
|
2001
|
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique |
|
2002
|
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel |
|
2021
|
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2010
|
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F. |
|
2008
|
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien |
|
2002
|
Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\). Zbl 1268.11039
Durand, Fabien; Messaoudi, Ali |
|
2011
|
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien |
|
2008
|
Decidability, arithmetic subsequences and eigenvalues of morphic subshifts. Zbl 1432.37018
Durand, Fabien; Goyheneche, Valérie |
|
2019
|
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F. |
|
2005
|
Dynamical properties of minimal Ferenczi subshifts. Zbl 1533.37038
Arbulú, Felipe; Durand, Fabien |
|
2023
|
Dynamical properties of minimal Ferenczi subshifts. Zbl 1533.37038
Arbulú, Felipe; Durand, Fabien |
|
2023
|
Dimension groups and dynamical systems. Substitutions, Bratteli diagrams and Cantor systems. Zbl 1493.37002
Durand, Fabien; Perrin, Dominique |
|
2022
|
Interplay between finite topological rank minimal Cantor systems, \( \mathcal S\)-adic subshifts and their complexity. Zbl 1465.37016
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2021
|
On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts. Zbl 1469.37012
Berthé, Valérie; Cecchi Bernales, P.; Durand, Fabien; Leroy, Julien; Perrin, Dominique; Petite, S. |
|
2021
|
On Cobham’s theorem. Zbl 07425662
Durand, Fabien; Rigo, Michel |
|
2021
|
Eigenvalues of minimal Cantor systems. Zbl 1416.54018
Durand, Fabien; Frank, Alexander; Maass, Alejandro |
|
2019
|
Decidability, arithmetic subsequences and eigenvalues of morphic subshifts. Zbl 1432.37018
Durand, Fabien; Goyheneche, Valérie |
|
2019
|
Rigidity and substitutive dendric words. Zbl 1448.68365
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. |
|
2018
|
Self-induced systems. Zbl 1408.37033
Durand, Fabien; Ormes, Nicholas; Petite, Samuel |
|
2018
|
On automorphism groups of Toeplitz subshifts. Zbl 1404.37013
Donoso, Sebastian; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2017
|
The constant of recognizability is computable for primitive morphisms. Zbl 1359.68239
Durand, Fabien; Leroy, Julien |
|
2017
|
On automorphism groups of low complexity subshifts. Zbl 1354.37024
Donoso, Sebastián; Durand, Fabien; Maass, Alejandro; Petite, Samuel |
|
2016
|
Eigenvalues and strong orbit equivalence. Zbl 1375.37008
Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2016
|
Eigenvalues of Toeplitz minimal systems of finite topological rank. Zbl 1356.37013
Durand, Fabien; Frank, Alexander; Maass, Alejandro |
|
2015
|
Linearly repetitive Delone sets. Zbl 1376.37044
Aliste-Prieto, José; Coronel, Daniel; Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2015
|
Decidability of the HD0L ultimate periodicity problem. Zbl 1361.68112
Durand, Fabien |
|
2013
|
Do the properties of an \(S\)-adic representation determine factor complexity? Zbl 1354.68214
Durand, Fabien; Leroy, Julien; Richomme, Gwenaël |
|
2013
|
Decidability of uniform recurrence of morphic sequences. Zbl 1286.68279
Durand, Fabien |
|
2013
|
Multidimensional extension of the Morse-Hedlund theorem. Zbl 1338.68227
Durand, Fabien; Rigo, Michel |
|
2013
|
\(S\)-adic conjecture and Bratteli diagrams. Zbl 1278.37017
Durand, Fabien; Leroy, Julien |
|
2012
|
HD0L \(\omega \)-equivalence and periodicity problems in the primitive case. Zbl 1313.68067
Durand, Fabien |
|
2012
|
Cobham’s theorem for substitutions. Zbl 1246.11073
Durand, Fabien |
|
2011
|
Boundary of the Rauzy fractal sets in \(\mathbb {R} \times \mathbb {C}\) generated by \(P(x) = x^4 - x^3 - x^2 - x - 1\). Zbl 1268.11039
Durand, Fabien; Messaoudi, Ali |
|
2011
|
Combinatorics on Bratteli diagrams and dynamical systems. Zbl 1272.37006
Durand, Fabien |
|
2010
|
On the eigenvalues of finite rank Bratteli-Vershik dynamical systems. Zbl 1204.37008
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro |
|
2010
|
Linearly repetitive Delone systems have a finite number of nonperiodic Delone system factors. Zbl 1189.37018
Cortez, María Isabel; Durand, Fabien; Petite, Samuel |
|
2010
|
Minimal polynomial dynamics on the set of 3-adic integers. Zbl 1175.37048
Durand, Fabien; Paccaut, Frédéric |
|
2009
|
Syndeticity and independent substitutions. Zbl 1160.68028
Durand, Fabien; Rigo, Michel |
|
2009
|
Cobham-Semenov theorem and \(\mathbb N^d\)-subshifts. Zbl 1133.68036
Durand, F. |
|
2008
|
Self-similar tiling systems, topological factors and stretching factors. Zbl 1168.52016
Cortez, María Isabel; Durand, Fabien |
|
2008
|
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems. Zbl 1095.54016
Bressaud, Xavier; Durand, Fabien; Maass, Alejandro |
|
2005
|
Local rates of Poincaré recurrence for rotations and weak mixing. Zbl 1063.37012
Chazottes, J.-R.; Durand, F. |
|
2005
|
Constant-length substitutions and countable scrambled sets. Zbl 1057.37006
Blanchard, François; Durand, Fabien; Maass, Alejandro |
|
2004
|
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro |
|
2003
|
A theorem of Cobham for nonprimitive substitutions. Zbl 1014.11016
Durand, Fabien |
|
2002
|
Factors of Toeplitz flows and other almost 1-1 extensions over group rotations. Zbl 1023.37004
Downarowicz, T.; Durand, F. |
|
2002
|
Ergodic averages with deterministic weights. Zbl 1054.37003
Durand, Fabien; Schneider, Dominique |
|
2002
|
Combinatorial and dynamical study of substitutions around the theorem of Cobham. Zbl 1038.11016
Durand, Fabien |
|
2002
|
Limit laws of entrance times for low-complexity Cantor minimal systems. Zbl 1006.37004
Durand, Fabien; Maass, Alejandro |
|
2001
|
Linearly recurrent subshifts have a finite number of non-periodic subshift factors. Zbl 0965.37013
Durand, Fabien |
|
2000
|
Orbit equivalence and Kakutani equivalence with Sturmian subshifts. Zbl 0976.54041
Dartnell, P.; Durand, F.; Maass, A. |
|
2000
|
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C. |
|
1999
|
A characterization of substitutive sequences using return words. Zbl 0895.68087
Durand, Fabien |
|
1998
|
A generalization of Cobham’s theorem. Zbl 0895.68081
Durand, F. |
|
1998
|
On recognizable sets of integers.
(Sur les ensembles d’entiers reconnaissables.) Zbl 1046.11500
Durand, Fabien |
|
1998
|