Bernard Host

Centre National de la Recherche Scientifique — France

Mathematics · Physical Sciences

27h-index2.7kcitations96works0.52yr avg
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Research Topics

Limits and Structures in Graph Theory(47), Mathematical Dynamics and Fractals(43), Advanced Topology and Set Theory(24), Analytic Number Theory Research(22), Graph theory and applications(8)

Publications96 total

Bohr recurrence and density of non-lacunary semigroups of ℕ
Proceedings of the American Mathematical Society·2024· 1 cited
Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$
arXiv (Cornell University)·2024Open Access
Multiple recurrence and convergence without commutativity
Journal of the London Mathematical Society·2023· 11 citedOpen Access
Multiple recurrence and convergence without commutativity
arXiv (Cornell University)·2021Open Access
A short proof of a conjecture of Erdös proved by Moreira, Richter and Robertson
arXiv (Cornell University)·2019· 1 citedOpen Access
Furstenberg Systems of Bounded Multiplicative Functions and Applications
International Mathematics Research Notices·2019· 4 citedOpen Access
A short proof of a conjecture of Erd\\"os proved by Moreira, Richter and Robertson
Discrete Analysis·2019· 1 citedOpen Access
Other structure theorems
Mathematical surveys and monographs·2018
Nilpotent Structures in Ergodic Theory
Mathematical surveys and monographs·2018· 85 cited
Inverse results for uniformity seminorms and applications
Mathematical surveys and monographs·2018
Arithmetic progressions in nilsystems
Mathematical surveys and monographs·2018
Cubes in an algebraic setting
Mathematical surveys and monographs·2018
The structure theorem in the general case
Mathematical surveys and monographs·2018
Uniformity seminorms on ℓ^{∞} and pointwise convergence of cubic averages
Mathematical surveys and monographs·2018
The ergodic structure theorem
Mathematical surveys and monographs·2018
Group extensions
Mathematical surveys and monographs·2018
The logarithmic Sarnak conjecture for ergodic weights
Annals of Mathematics·2018· 4 citedOpen Access
The logarithmic Sarnak conjecture for ergodic weights
HAL (Le Centre pour la Communication Scientifique Directe)·2018· 75 citedOpen Access
Higher order Fourier analysis of multiplicative functions and appliactions
HAL (Le Centre pour la Communication Scientifique Directe)·2017
Asymptotics for multilinear averages of multiplicative functions
Mathematical Proceedings of the Cambridge Philosophical Society·2016· 19 citedOpen Access
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Frequent Co-authors

Bryna Kra(19), Alejandro Maass(9), Nikos Frantzikinakis(9), François Parreau(4), Vitaly Bergelson(3), Fabien Durand(3), F. Blanchard(3), Christian Skau(2), Eli Glasner(2), Daniel J. Rudolph(2), Imre Z. Ruzsa(1), F BLANCHARD(1), Jean-François Méla(1), Salomé Martínez(1), F. M. Dekking(1), María Isabel Cortéz(1), Randall McCutcheon(1), Franiçois Parreau(1), Servet Martı́nez(1), Séminaire sur l'Analyse harmonique des mesures(1)