Bernard Host

2.7k total citations
47 papers, 1.2k citations indexed

About

Bernard Host is a scholar working on Mathematical Physics, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Bernard Host has authored 47 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 21 papers in Discrete Mathematics and Combinatorics and 17 papers in Geometry and Topology. Recurrent topics in Bernard Host's work include Mathematical Dynamics and Fractals (24 papers), Limits and Structures in Graph Theory (21 papers) and Advanced Topology and Set Theory (9 papers). Bernard Host is often cited by papers focused on Mathematical Dynamics and Fractals (24 papers), Limits and Structures in Graph Theory (21 papers) and Advanced Topology and Set Theory (9 papers). Bernard Host collaborates with scholars based in France, United States and Chile. Bernard Host's co-authors include Bryna Kra, Alejandro Maass, Fabien Durand, Christian Skau, Nikos Frantzikinakis, Eli Glasner, F. Blanchard, Vitaly Bergelson, Daniel J. Rudolph and François Parreau and has published in prestigious journals such as Annals of Mathematics, Journal of Mathematical Analysis and Applications and Inventiones mathematicae.

In The Last Decade

Bernard Host

46 papers receiving 1.1k citations

Peers

Countries citing papers authored by Bernard Host

Since Specialization

Citations

This map shows the geographic impact of Bernard Host's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bernard Host with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bernard Host more than expected).

Fields of papers citing papers by Bernard Host

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernard Host. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bernard Host. The network helps show where Bernard Host may publish in the future.

Co-authorship network of co-authors of Bernard Host

This figure shows the co-authorship network connecting the top 25 collaborators of Bernard Host. A scholar is included among the top collaborators of Bernard Host based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bernard Host. Bernard Host is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Bohr recurrence and density of non-lacunary semigroups of ℕ 2024 ·Proceedings of the American Mathematical Society ·Nikos Frantzikinakis, Bernard Host, Bryna Kra	1
2	Multiple recurrence and convergence without commutativity 2023 ·Journal of the London Mathematical Society ·Nikos Frantzikinakis, Bernard Host	4
3	The logarithmic Sarnak conjecture for ergodic weights 2018 ·HAL (Le Centre pour la Communication Scientifique Directe) ·Bernard Host, Nikos Frantzikinakis	28
4	Variations on topological recurrence 2015 ·Monatshefte für Mathematik ·Bernard Host, Bryna Kra, Alejandro Maass	7
5	Systems lacking higher order nilfactors 2012 ·arXiv (Cornell University) ·Bernard Host, Bryna Kra, Alejandro Maass	0
6	The logarithmic Sobolev constant of the lamplighter 2012 ·Journal of Mathematical Analysis and Applications ·Evgeny Abakumov, Anne Beaulieu, F. Blanchard, Matthieu Fradelizi, Nathaël Gozlan, Bernard Host, (unknown), Magdalena Kobylanski, Guillaume Lecué, Miguel Escobedo, Mathieu Meyer, (unknown), (unknown), Francis Ribaud, Cyril Roberto, Pascal Romon, (unknown), Paul-Marie Samson, (unknown), (unknown)	1
7	The polynomial multidimensional Szemerédi Theorem along shifted primes 2012 ·Israel Journal of Mathematics ·Nikos Frantzikinakis, Bernard Host, Bryna Kra	18
8	Commuting averages with polynomial iterates of distinct degrees 2009 ·arXiv (Cornell University) ·(unknown), Nikos Frantzikinakis, Bernard Host	2
9	Nilsequences and a structure theorem for topological dynamical systems 2009 ·Advances in Mathematics ·Bernard Host, Bryna Kra, Alejandro Maass	37
10	Ergodic seminorms for commuting transformations and applications 2009 ·Studia Mathematica ·Bernard Host	4
11	Substitutional dynamical systems, Bratteli diagrams and dimension groups 2008 ·ArXiv.org ·Fabien Durand, Bernard Host, Christian Skau	10
12	Nonconventional ergodic averages and nilmanifolds 2005 ·Annals of Mathematics ·Bernard Host, Bryna Kra	186
13	Multiple recurrence and nilsequences 2005 ·Inventiones mathematicae ·Vitaly Bergelson, Bernard Host, Bryna Kra, Imre Z. Ruzsa	71
14	Some results of uniform distribution in the multidimensional torus 2000 ·Ergodic Theory and Dynamical Systems ·Bernard Host	11
15	Aspects of uniformity in recurrence 2000 ·Colloquium Mathematicum ·Vitaly Bergelson, Bernard Host, Randall McCutcheon, (unknown)	13
16	A variation on the variational principle and applications to entropy pairs 1997 ·Ergodic Theory and Dynamical Systems ·F. Blanchard, Eli Glasner, Bernard Host	50
17	Représentation par automate de fonctions continues de tore 1996 ·Journal de Théorie des Nombres de Bordeaux ·F. Blanchard, Bernard Host, Alejandro Maass	3
18	Analyse harmonique des mesures : Séminaire de Villetaneuse 1986 ·(unknown), Bernard Host, (unknown), François Parreau	11
19	Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable 1986 ·Ergodic Theory and Dynamical Systems ·Bernard Host	46
20	The interior of the Šilov boundary of M(G) is trivial 1980 ·Journal of Functional Analysis ·François Parreau, Bernard Host, Colin C. Graham	1

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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