Nonconventional ergodic averages and nilmanifolds. Zbl 1077.37002
Host, Bernard; Kra, Bryna |
|
2005
|
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C. |
|
1999
|
Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007
Bergelson, Vitaly; Host, Bernard; Kra, Bryna |
|
2005
|
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A. |
|
2000
|
Convergence of polynomial ergodic averages. Zbl 1085.28009
Host, Bernard; Kra, Bryna |
|
2005
|
Valeurs propres des systèmes dynamiques définis par des substitutions de longuer variable. (Eigenvalues of dynamical systems defined by substitutions of non-constant length). Zbl 0625.28011
Host, B. |
|
1986
|
Uniformity seminorms on \(\ell^{\infty}\) and applications. Zbl 1183.37011
Host, Bernard; Kra, Bryna |
|
2009
|
Nilpotent structures in ergodic theory. Zbl 1433.37001
Host, Bernard; Kra, Bryna |
|
2018
|
Nilsequences and a structure theorem for topological dynamical systems. Zbl 1203.37022
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2010
|
A variation on the variational principle and applications to entropy pairs. Zbl 0868.54033
Blanchard, F.; Glasner, E.; Host, B. |
|
1997
|
The logarithmic Sarnak conjecture for ergodic weights. Zbl 1400.11129
Frantzikinakis, Nikos; Host, Bernard |
|
2018
|
Asymptotic pairs in positive-entropy systems. Zbl 1018.37005
Blanchard, F.; Host, B.; Ruette, S. |
|
2002
|
Entropy pairs for a measure. Zbl 0833.58022
Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J. |
|
1995
|
Higher-order Fourier analysis of multiplicative functions and applications. Zbl 1355.11094
Frantzikinakis, Nikos; Host, Bernard |
|
2017
|
Ergodic seminorms for commuting transformations and applications. Zbl 1230.37006
Host, Bernard |
|
2009
|
Normal numbers, entropy, translations.
(Nombres normaux, entropie, translations.) Zbl 0839.11030
Host, Bernard |
|
1995
|
Le théorème des idempotents dans B(G). (The theorem of idempotents in B(G)). Zbl 0606.43002
Host, B. |
|
1986
|
Multiple recurrence and convergence for sequences related to the prime numbers. Zbl 1126.37005
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna |
|
2007
|
Mixing of all orders and pairwise independent joinings of systems with singular spectrum. Zbl 0790.28010
Host, Bernard |
|
1991
|
Ergodic averages of commuting transformations with distinct degree polynomial iterates. Zbl 1218.37009
Chu, Qing; Frantzikinakis, Nikos; Host, Bernard |
|
2011
|
The polynomial multidimensional Szemerédi theorem along shifted primes. Zbl 1301.37008
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna |
|
2013
|
Non singular transformations and spectral analysis of measures. Zbl 0748.43001
Host, Bernard; Méla, Jean-François; Parreau, François |
|
1991
|
Limit distributions for minimal displacement of branching random walks. Zbl 0734.60074
Dekking, F. M.; Host, B. |
|
1991
|
Simple systems and their higher order self-joinings. Zbl 0779.28010
Glasner, Eli; Host, B.; Rudolph, D. |
|
1992
|
Parallelepipeds, nilpotent groups and Gowers norms. Zbl 1189.11006
Host, Bernard; Kra, Bryna |
|
2008
|
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro |
|
2003
|
Convergence of Conze-Lesigne averages. Zbl 0995.37003
Host, Bernard; Kra, Bryna |
|
2001
|
Analyse harmonique des mesures. Séminaire de Villetaneuse (France). (Harmonic analysis of measures). Zbl 0589.43001
Host, B.; Méla, J.-F.; Parreau, F. |
|
1986
|
Complexity of nilsystems and systems lacking nilfactors. Zbl 1351.37026
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2014
|
Aspects of uniformity in recurrence. Zbl 0966.28009
Bergelson, Vitaly; Host, Bernard; McCutcheon, Randall; Parreau, François |
|
2000
|
Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046
Host, Bernard; Maass, Alejandro; Martínez, Servet |
|
2003
|
Some results of uniform distribution in the multidimensional torus. Zbl 1047.37003
Host, Bernard |
|
2000
|
Two step nilsystems and parallelepipeds.
(Nilsystèmes d’ordre 2 et parallélépipèdes.) Zbl 1217.37010
Host, Bernard; Maass, Alejandro |
|
2007
|
An odd Furstenberg-Szemerédi theorem and quasi-affine systems. Zbl 1013.37003
Host, Bernard; Kra, Bryna |
|
2002
|
Nil-Bohr sets of integers. Zbl 1209.37007
Host, Bernard; Kra, Bryna |
|
2011
|
Weighted multiple ergodic averages and correlation sequences. Zbl 1401.37008
Frantzikinakis, Nikos; Host, Bernard |
|
2018
|
Homomorphismes entre systèmes dynamiques définis par substitutions. (Homomorphisms between dynamical systems defined by substitutions). Zbl 0662.58027
Host, B.; Parreau, F. |
|
1989
|
Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\). Zbl 0368.43001
Host, Bernard; Parreau, François |
|
1978
|
Asymptotics for multilinear averages of multiplicative functions. Zbl 1371.11134
Frantzikinakis, Nikos; Host, Bernard |
|
2016
|
Variations on topological recurrence. Zbl 1330.05156
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2016
|
Furstenberg systems of bounded multiplicative functions and applications. Zbl 1483.37006
Frantzikinakis, Nikos; Host, Bernard |
|
2021
|
Substitution subshifts and Bratteli diagrams. Zbl 0985.37012
Host, Bernard |
|
2000
|
A point of view on Gowers uniformity norms. Zbl 1268.11018
Host, Bernard; Kra, Bryna |
|
2012
|
Analysis of two step nilsequences. Zbl 1145.37006
Host, Bernard; Kra, Bryna |
|
2008
|
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson. Zbl 1433.05314
Host, Bernard |
|
2019
|
Representation by an automaton of continuous functions of the torus.
(Représentation par automate de fonctions continues de tore.) Zbl 0881.58035
Blanchard, F.; Host, B.; Maass, A. |
|
1996
|
Multiple ergodic theorems for arithmetic sets. Zbl 1386.37010
Frantzikinakis, Nikos; Host, Bernard |
|
2017
|
Averaging along cubes. Zbl 1147.37301
Host, Bernard; Kra, Bryna |
|
2004
|
Arithmetic progressions in prime numbers (after B. Green and T. Tao).
(Progressions arithmétiques dans les nombres premiers [d’après B. Green et T. Tao].) Zbl 1175.11052
Host, Bernard |
|
2006
|
Multiple recurrence and convergence without commutativity. Zbl 1528.37002
Frantzikinakis, Nikos; Host, Bernard |
|
2023
|
Extensions of Cantor minimal systems and dimension groups. Zbl 1316.37009
Glasner, Eli; Host, Bernard |
|
2013
|
The logarithmic Sobolev constant of the lamplighter. Zbl 1266.60124
Abakumov, Evgeny; Beaulieu, Anne; Blanchard, François; Fradelizi, Matthieu; Gozlan, Nathaël; Host, Bernard; Jeantheau, Thiery; Kobylanski, Magdalena; Lecué, Guillaume; Martinez, Miguel; Meyer, Mathieu; Mourgues, Marie-Hélène; Portal, Frédéric; Ribaud, Francis; Roberto, Cyril; Romon, Pascal; Roth, Julien; Samson, Paul-Marie; Vandekerkhove, Pierre; Youssfi, Abdellah |
|
2013
|
Sur une notion de pureté pour les mesures. (On a notion of purity for measures). Zbl 0653.22006
Host, Bernard; Parreau, François |
|
1988
|
The interior of the Silov boundary of M(G) is trivial. Zbl 0445.46039
Parreau, F.; Host, B.; Graham, C. C. |
|
1980
|
Sur les mesures dont la transformee de Fourier-Stieltjes ne tend pas vers o à l’infini. Zbl 0466.43005
Host, Bernard; Parreau, Francois |
|
1979
|
The generalized purity law for ergodic measures: a simple proof. Zbl 0727.28010
Host, Bernard; Parreau, François |
|
1990
|
Multiple recurrence and convergence without commutativity. Zbl 1528.37002
Frantzikinakis, Nikos; Host, Bernard |
|
2023
|
Furstenberg systems of bounded multiplicative functions and applications. Zbl 1483.37006
Frantzikinakis, Nikos; Host, Bernard |
|
2021
|
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson. Zbl 1433.05314
Host, Bernard |
|
2019
|
Nilpotent structures in ergodic theory. Zbl 1433.37001
Host, Bernard; Kra, Bryna |
|
2018
|
The logarithmic Sarnak conjecture for ergodic weights. Zbl 1400.11129
Frantzikinakis, Nikos; Host, Bernard |
|
2018
|
Weighted multiple ergodic averages and correlation sequences. Zbl 1401.37008
Frantzikinakis, Nikos; Host, Bernard |
|
2018
|
Higher-order Fourier analysis of multiplicative functions and applications. Zbl 1355.11094
Frantzikinakis, Nikos; Host, Bernard |
|
2017
|
Multiple ergodic theorems for arithmetic sets. Zbl 1386.37010
Frantzikinakis, Nikos; Host, Bernard |
|
2017
|
Asymptotics for multilinear averages of multiplicative functions. Zbl 1371.11134
Frantzikinakis, Nikos; Host, Bernard |
|
2016
|
Variations on topological recurrence. Zbl 1330.05156
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2016
|
Complexity of nilsystems and systems lacking nilfactors. Zbl 1351.37026
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2014
|
The polynomial multidimensional Szemerédi theorem along shifted primes. Zbl 1301.37008
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna |
|
2013
|
Extensions of Cantor minimal systems and dimension groups. Zbl 1316.37009
Glasner, Eli; Host, Bernard |
|
2013
|
The logarithmic Sobolev constant of the lamplighter. Zbl 1266.60124
Abakumov, Evgeny; Beaulieu, Anne; Blanchard, François; Fradelizi, Matthieu; Gozlan, Nathaël; Host, Bernard; Jeantheau, Thiery; Kobylanski, Magdalena; Lecué, Guillaume; Martinez, Miguel; Meyer, Mathieu; Mourgues, Marie-Hélène; Portal, Frédéric; Ribaud, Francis; Roberto, Cyril; Romon, Pascal; Roth, Julien; Samson, Paul-Marie; Vandekerkhove, Pierre; Youssfi, Abdellah |
|
2013
|
A point of view on Gowers uniformity norms. Zbl 1268.11018
Host, Bernard; Kra, Bryna |
|
2012
|
Ergodic averages of commuting transformations with distinct degree polynomial iterates. Zbl 1218.37009
Chu, Qing; Frantzikinakis, Nikos; Host, Bernard |
|
2011
|
Nil-Bohr sets of integers. Zbl 1209.37007
Host, Bernard; Kra, Bryna |
|
2011
|
Nilsequences and a structure theorem for topological dynamical systems. Zbl 1203.37022
Host, Bernard; Kra, Bryna; Maass, Alejandro |
|
2010
|
Uniformity seminorms on \(\ell^{\infty}\) and applications. Zbl 1183.37011
Host, Bernard; Kra, Bryna |
|
2009
|
Ergodic seminorms for commuting transformations and applications. Zbl 1230.37006
Host, Bernard |
|
2009
|
Parallelepipeds, nilpotent groups and Gowers norms. Zbl 1189.11006
Host, Bernard; Kra, Bryna |
|
2008
|
Analysis of two step nilsequences. Zbl 1145.37006
Host, Bernard; Kra, Bryna |
|
2008
|
Multiple recurrence and convergence for sequences related to the prime numbers. Zbl 1126.37005
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna |
|
2007
|
Two step nilsystems and parallelepipeds.
(Nilsystèmes d’ordre 2 et parallélépipèdes.) Zbl 1217.37010
Host, Bernard; Maass, Alejandro |
|
2007
|
Arithmetic progressions in prime numbers (after B. Green and T. Tao).
(Progressions arithmétiques dans les nombres premiers [d’après B. Green et T. Tao].) Zbl 1175.11052
Host, Bernard |
|
2006
|
Nonconventional ergodic averages and nilmanifolds. Zbl 1077.37002
Host, Bernard; Kra, Bryna |
|
2005
|
Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007
Bergelson, Vitaly; Host, Bernard; Kra, Bryna |
|
2005
|
Convergence of polynomial ergodic averages. Zbl 1085.28009
Host, Bernard; Kra, Bryna |
|
2005
|
Averaging along cubes. Zbl 1147.37301
Host, Bernard; Kra, Bryna |
|
2004
|
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro |
|
2003
|
Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046
Host, Bernard; Maass, Alejandro; Martínez, Servet |
|
2003
|
Asymptotic pairs in positive-entropy systems. Zbl 1018.37005
Blanchard, F.; Host, B.; Ruette, S. |
|
2002
|
An odd Furstenberg-Szemerédi theorem and quasi-affine systems. Zbl 1013.37003
Host, Bernard; Kra, Bryna |
|
2002
|
Convergence of Conze-Lesigne averages. Zbl 0995.37003
Host, Bernard; Kra, Bryna |
|
2001
|
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A. |
|
2000
|
Aspects of uniformity in recurrence. Zbl 0966.28009
Bergelson, Vitaly; Host, Bernard; McCutcheon, Randall; Parreau, François |
|
2000
|
Some results of uniform distribution in the multidimensional torus. Zbl 1047.37003
Host, Bernard |
|
2000
|
Substitution subshifts and Bratteli diagrams. Zbl 0985.37012
Host, Bernard |
|
2000
|
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C. |
|
1999
|
A variation on the variational principle and applications to entropy pairs. Zbl 0868.54033
Blanchard, F.; Glasner, E.; Host, B. |
|
1997
|
Representation by an automaton of continuous functions of the torus.
(Représentation par automate de fonctions continues de tore.) Zbl 0881.58035
Blanchard, F.; Host, B.; Maass, A. |
|
1996
|
Entropy pairs for a measure. Zbl 0833.58022
Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J. |
|
1995
|
Normal numbers, entropy, translations.
(Nombres normaux, entropie, translations.) Zbl 0839.11030
Host, Bernard |
|
1995
|
Simple systems and their higher order self-joinings. Zbl 0779.28010
Glasner, Eli; Host, B.; Rudolph, D. |
|
1992
|
Mixing of all orders and pairwise independent joinings of systems with singular spectrum. Zbl 0790.28010
Host, Bernard |
|
1991
|
Non singular transformations and spectral analysis of measures. Zbl 0748.43001
Host, Bernard; Méla, Jean-François; Parreau, François |
|
1991
|
Limit distributions for minimal displacement of branching random walks. Zbl 0734.60074
Dekking, F. M.; Host, B. |
|
1991
|
The generalized purity law for ergodic measures: a simple proof. Zbl 0727.28010
Host, Bernard; Parreau, François |
|
1990
|
Homomorphismes entre systèmes dynamiques définis par substitutions. (Homomorphisms between dynamical systems defined by substitutions). Zbl 0662.58027
Host, B.; Parreau, F. |
|
1989
|
Sur une notion de pureté pour les mesures. (On a notion of purity for measures). Zbl 0653.22006
Host, Bernard; Parreau, François |
|
1988
|
Valeurs propres des systèmes dynamiques définis par des substitutions de longuer variable. (Eigenvalues of dynamical systems defined by substitutions of non-constant length). Zbl 0625.28011
Host, B. |
|
1986
|
Le théorème des idempotents dans B(G). (The theorem of idempotents in B(G)). Zbl 0606.43002
Host, B. |
|
1986
|
Analyse harmonique des mesures. Séminaire de Villetaneuse (France). (Harmonic analysis of measures). Zbl 0589.43001
Host, B.; Méla, J.-F.; Parreau, F. |
|
1986
|
The interior of the Silov boundary of M(G) is trivial. Zbl 0445.46039
Parreau, F.; Host, B.; Graham, C. C. |
|
1980
|
Sur les mesures dont la transformee de Fourier-Stieltjes ne tend pas vers o à l’infini. Zbl 0466.43005
Host, Bernard; Parreau, Francois |
|
1979
|
Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\). Zbl 0368.43001
Host, Bernard; Parreau, François |
|
1978
|