Bernard Host

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All published works

Action	Title	Year	Authors
+	Bohr recurrence and density of non-lacunary semigroups of ℕ	2024	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$	2024	Nikos Frantzikinakis Bryna Kra Bernard Host
+	Multiple recurrence and convergence without commutativity	2023	Nikos Frantzikinakis Bernard Host
+	Multiple recurrence and convergence without commutativity	2021	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Furstenberg Systems of Bounded Multiplicative Functions and Applications	2019	Nikos Frantzikinakis Bernard Host
+	Asymptotic pairs in positive-entropy systems	2019	F. Blanchard Bernard Host Sylvie Ruette
+ PDF Chat	A short proof of a conjecture of Erd\"os proved by Moreira, Richter and Robertson	2019	Bernard Host
+ PDF	A short proof of a conjecture of Erdös proved by Moreira, Richter and Robertson	2019	Bernard Host
+	Asymptotic pairs in positive-entropy systems	2019	F. Blanchard Bernard Host Sylvie Ruette
+	Nilpotent Structures in Ergodic Theory	2018	Bernard Host Bryna Kra
+	The ergodic structure theorem	2018	Bernard Host Bryna Kra
+	Uniformity seminorms on ℓ^{∞} and pointwise convergence of cubic averages	2018	Bernard Host Bryna Kra
+	Inverse results for uniformity seminorms and applications	2018	Bernard Host Bryna Kra
+	Arithmetic progressions in nilsystems	2018	Bernard Host Bryna Kra
+	Furstenberg systems of bounded multiplicative functions and applications	2018	Nikos Frantzikinakis Bernard Host
+ PDF Chat	The logarithmic Sarnak conjecture for ergodic weights	2018	Nikos Frantzikinakis Bernard Host
+	Furstenberg systems of bounded multiplicative functions and applications	2018	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and appliactions	2017	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Weighted multiple ergodic averages and correlation sequences	2016	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Asymptotics for multilinear averages of multiplicative functions	2016	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+ PDF	Variations on topological recurrence	2015	Bernard Host Bryna Kra Alejandro Maass
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+	Convergence of multilinear averages of multiplicative functions	2015	Nikos Frantzikinakis Bernard Host
+	Multiple ergodic theorems for arithmetic sets	2015	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Complexity of nilsystems and systems lacking nilfactors	2014	Bernard Host Bryna Kra Alejandro Maass
+	Variations on topological recurrence	2014	Bernard Host Bryna Kra Alejandro Maass
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Variations on topological recurrence	2014	Bernard Host Bryna Kra Alejandro Maass
+	Uniformity of multiplicative functions and partition regularity of some quadratic equations	2013	Nikos Frantzikinakis Bernard Host
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes.	2013	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Extensions of Cantor minimal systems and dimension groups.	2013	Eli Glasner Bernard Host
+	The logarithmic Sobolev constant of the lamplighter	2012	Evgeny Abakumov Anne Beaulieu F. Blanchard Matthieu Fradelizi Nathaël Gozlan Bernard Host Thiery Jeantheau Magdalena Kobylanski Guillaume Lecué Miguel Escobedo
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes	2012	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Extensions of Cantor minimal systems and dimension groups	2012	Eli Glasner Bernard Host
+	Systems lacking higher order nilfactors	2012	Bernard Host Bryna Kra Alejandro Maass
+ PDF	A point of view on Gowers uniformity norms	2012	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+ PDF Chat	Ergodic averages of commuting transformations with distinct degree polynomial iterates	2010	Qing Chu Nikos Frantzikinakis Bernard Host
+ PDF	Compter et mesurer. Réflexions sur Le souci du nombre dans l'évaluation de la production du savoir scientifique.	2010	Evgeny Abakumov Anne Beaulieu F. Blanchard Matthieu Fradelizi Nathaël Gozlan Bernard Host Thiery Jeantheau Magdalena Kobylanski Guillaume Lecué Miguel Martínez
+	A point of view on Gowers uniformity norms	2010	Bernard Host Bryna Kra
+	The polynomial multidimensional Szemerédi Theorem along shifted primes	2010	Bernard Host Nikos Frantzikinakis Bryna Kra
+	Commuting averages with polynomial iterates of distinct degrees	2009	Qing Chu Nikos Frantzikinakis Bernard Host
+ PDF Chat	Nilsequences and a structure theorem for topological dynamical systems	2009	Bernard Host Bryna Kra Alejandro Maass
+ PDF	Nil–Bohr sets of integers	2009	Bernard Host Bryna Kra
+	Nilsequences and a structure theorem for topological dynamical systems	2009	Bernard Host Bryna Kra Alejandro Maass
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2009	Bernard Host Bryna Kra
+ PDF	Ergodic seminorms for commuting transformations and applications	2009	Bernard Host
+	UNIFORMITY SEMINORMS ON l(infinity) AND APPLICATIONS	2009	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2009	Bernard Host Bryna Kra
+ PDF	Parallelepipeds, nilpotent groups and Gowers norms	2008	Bernard Host Bryna Kra
+ PDF	Analysis of two step nilsequences	2008	Bernard Host Bryna Kra
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Uniformity seminorms on $\ell^\infty$ and applications	2007	Bryna Kra Bernard Host
+	Analysis of two step nilsequences	2007	Bernard Host Bryna Kra
+	Two step nilsystems and parallelepipeds	2007	Bernard Host Alejandro Maass
+ PDF	Nilsystèmes d’ordre 2 et parallélépipèdes	2007	Bernard Host Alejandro Maass
+ PDF	Nilsystèmes d'ordre deux et parallèlépipèdes	2006	Bernard Host Alejandro Maass
+	Progressions arithmétiques dans les nombres premiers, d'après B. Green et T. Tao	2006	Bernard Host
+	Convergence of multiple ergodic averages	2006	Bernard Host
+	Multiple recurence and convergence for sequences related to the prime numbers	2006	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Nilsystèmes d'ordre deux et parallèlépipèdes	2006	Bernard Host Alejandro Maass
+	Parallelepipeds, Nilpotent Groups, and Gowers Norms	2006	Bernard Host Bryna Kra
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra
+	Progressions arithmétiques dans les nombres premiers	2005	Bernard Host
+	Averaging Along Cubes	2004	Bernard Host Bryna Kra
+ PDF	CONTINUOUS AND MEASURABLE EIGENFUNCTIONS OF LINEARLY RECURRENT DYNAMICAL CANTOR SYSTEMS	2003	María Isabel Cortéz Fabien Durand Bernard Host Alejandro Maass
+ PDF	Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules	2003	Bernard Host Alejandro Maass Servet Martı́nez
+ PDF	An odd Furstenberg-Szemerédi theorem and quasi-affine systems	2002	Bernard Host Bryna Kra
+ PDF Chat	Asymptotic pairs in positive-entropy systems	2002	F. Blanchard Bernard Host Sylvie Ruette
+	Convergence of Conze–Lesigne averages	2001	Bernard Host Bryna Kra
+	Topological complexity	2000	F BLANCHARD Bernard Host Alejandro Maass
+	Some results of uniform distribution in the multidimensional torus	2000	Bernard Host
+ PDF	Aspects of uniformity in recurrence	2000	Vitaly Bergelson Bernard Host Randall McCutcheon Franiçois Parreau
+ PDF	Substitutional dynamical systems, Bratteli diagrams and dimension groups	1999	Fabien Durand Bernard Host Christian Skau
+	A variation on the variational principle and applications to entropy pairs	1997	F. Blanchard Eli Glasner Bernard Host
+	Nombres normaux, entropie, translations	1995	Bernard Host
+	Entropy pairs for a measure	1995	F. Blanchard Bernard Host Alejandro Maass Salomé Martínez Daniel J. Rudolph
+	Simple systems and their higher order self-joinings	1992	Eli Glasner Bernard Host Daniel J. Rudolph
+	Mixing of all orders and pairwise independent joinings of systems with singular spectrum	1991	Bernard Host
+ PDF	Limit distributions for minimal displacement of branching random walks	1991	F. M. Dekking Bernard Host
+	Spectral Extension for Measures	1990	Bernard Host François Parreau
+ PDF	The generalized purity law for ergodic measures: a simple proof	1990	Bernard Host François Parreau
+ PDF	Homomorphismes entre systèmes dynamiques définis par substitutions	1989	Bernard Host François Parreau
+ PDF	Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable	1986	Bernard Host
+ PDF	Le théorème des idempotents dans $B(G)$	1986	Bernard Host
+ PDF	Sur les supports des transformées de Fourier-Stieltjes	1981	Colin C. Graham Bernard Host François Parreau
+	The interior of the Šilov boundary of M(G) is trivial	1980	François Parreau Bernard Host Colin C. Graham
+ PDF	Sur un problème de I. Glicksberg : les idéaux fermés de type fini de $M(G)$	1978	Bernard Host François Parreau

Common Coauthors

Coauthor	Papers Together
Bryna Kra	46
Nikos Frantzikinakis	26
Alejandro Maass	15
F. Blanchard	7
François Parreau	6
Sylvie Ruette	3
Thiery Jeantheau	2
Mathieu Meyer	2
Cyril Roberto	2
Matthieu Fradelizi	2
Guillaume Lecué	2
Eli Glasner	2
Nathaël Gozlan	2
Anne Beaulieu	2
Qing Chu	2
Eli Glasner	2
Evgeny Abakumov	2
Marie‐Hélène Mourgues	2
Frédéric Portal	2
Julien Roth	2
Francis Ribaud	2
Paul-Marie Samson	2
Pascal Romon	2
Daniel J. Rudolph	2
Magdalena Kobylanski	2
Fabien Durand	2
Vitaly Bergelson	2
Pierre Vandekerkhove	2
Colin C. Graham	2
Abdellah Youssfi	2
Servet Martı́nez	1
María Isabel Cortéz	1
Franiçois Parreau	1
Randall McCutcheon	1
Miguel Escobedo	1
Christian Skau	1
Miguel Martínez	1
F BLANCHARD	1
Imre Z. Ruzsa	1
F. M. Dekking	1
Salomé Martínez	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	31
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	24
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	22
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	17
+	Flows on Homogeneous Spaces.	1964	Robert Ellis L. Auslander L. Green F. Hahn Lawrence Markus William S. Massey Leon A. Greenberg	17
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	16
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	16
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	16
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	12
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra	12
+ PDF	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	10
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa	10
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	10
+	Convergence of multiple ergodic averages along polynomials of several variables	2005	A. Leibman	9
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra	9
+ PDF	Distribution of values of bounded generalized polynomials	2007	Vitaly Bergelson A. Leibman	8
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra	8
+ PDF	Théorèmes ergodiques pour des mesures diagonales	1984	Jean-Pierre Conze Emmanuel Lesigne	8
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	8
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson	8
+	Polynomial Sequences in Groups	1998	A. Leibman	8
+	Dynamical Systems on Nilmanifolds	1970	William Parry	7
+	Ergodic Properties of Affine Transformations and Flows on Nilmanifolds	1969	William Parry	7
+ PDF	The quantitative behaviour of polynomial orbits on nilmanifolds	2012	Ben Green Terence Tao	7
+ PDF	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	6
+ PDF	On difference sets of sequences of integers. III	1978	Andràs Sárközy	6
+	On Multiplicative Arithmetical Functions whose Modulus does not Exceed One	1982	Hédi Daboussi Hubert Delange	6
+	Convergence of Conze–Lesigne averages	2001	Bernard Host Bryna Kra	6
+	Flows on Homogeneous Spaces. (AM-53)	1963	Louis Auslander F. Hahn L. Green	6
+	Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques	1991	Emmanuel Lesigne	6
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	6
+	A remark on a theorem of H. Daboussi	1986	И. Катаи	5
+	Piecewise-Bohr Sets of Integers and Combinatorial Number Theory	2007	Vitaly Bergelson Hillel Fürstenberg Benjamin Weiss	5
+	Pointwise ergodic theorem along the prime numbers	1988	Μáté Wierdl	5
+ PDF	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao	5
+ PDF	Analysis of two step nilsequences	2008	Bernard Host Bryna Kra	5
+ PDF Chat	Decompositions, approximate structure, transference, and the Hahn-Banach theorem	2010	W. T. Gowers	5
+	Probabilistic Number Theory I	1979	P. D. T. A. Elliott	5
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	5
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host	5
+	Ergodic Theory via Joinings	2003	Eli Glasner	4
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra	4
+ PDF Chat	Multiple recurrence and convergence along the primes	2012	Trevor D. Wooley Tamar Ziegler	4
+ PDF Chat	Norm convergence of multiple ergodic averages for commuting transformations	2008	Terence Tao	4
+	On the correlation of multiplicative and the sum of additive arithmetic functions	1994	P. D. T. A. Elliott	4
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes	2012	Nikos Frantzikinakis Bernard Host Bryna Kra	4
+ PDF Chat	Infinite-step nilsystems, independence and complexity	2011	Pandeng Dong Sebastián Donoso Alejandro Maass Song Shao Xiangdong Ye	4
+ PDF	Norm convergence of nilpotent ergodic averages	2012	Miguel N. Walsh	4
+	Multiple Recurrence Theorem for Measure Preserving Actions of a Nilpotent Group	1998	A. Leibman	4
+	Multiplicative functions in arithmetic progressions	2013	Antal Balog Andrew Granville K. Soundararajan	4