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, François Parreau and Daniel J. Rudolph 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

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Bernard Host	872	560	527	324	276	47	1.2k
Rostislav Grigorchuk	836 1.0×	964 1.7×	315 0.6×	555 1.7×	136 0.5×	76	1.3k
Manfred Einsiedler	736 0.8×	404 0.7×	101 0.2×	158 0.5×	156 0.6×	60	848
Ofer Gabber	448 0.5×	628 1.1×	144 0.3×	208 0.6×	283 1.0×	27	908
Alexandru Zaharescu	578 0.7×	508 0.9×	258 0.5×	140 0.4×	939 3.4×	269	1.4k
Neil Hindman	607 0.7×	1.2k 2.1×	814 1.5×	857 2.6×	410 1.5×	164	1.6k
Michael Boshernitzan	537 0.6×	227 0.4×	93 0.2×	220 0.7×	82 0.3×	48	733
Mariusz Lemańczyk	625 0.7×	296 0.5×	63 0.1×	159 0.5×	178 0.6×	98	736
Alexei Myasnikov	744 0.9×	1.2k 2.2×	458 0.9×	706 2.2×	261 0.9×	121	1.6k
Kálmán Győry	404 0.5×	855 1.5×	166 0.3×	286 0.9×	655 2.4×	96	1.2k
Yves Benoist	767 0.9×	687 1.2×	120 0.2×	89 0.3×	130 0.5×	64	957

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

Frantzikinakis, Nikos, Bernard Host, & Bryna Kra. (2024). Bohr recurrence and density of non-lacunary semigroups of ℕ. Proceedings of the American Mathematical Society. 153(1). 181–192. 1 indexed citations

Frantzikinakis, Nikos & Bernard Host. (2023). Multiple recurrence and convergence without commutativity. Journal of the London Mathematical Society. 107(5). 1635–1659. 4 indexed citations

Host, Bernard & Nikos Frantzikinakis. (2018). The logarithmic Sarnak conjecture for ergodic weights. HAL (Le Centre pour la Communication Scientifique Directe). 28 indexed citations

Host, Bernard & Bryna Kra. (2018). Nilpotent Structures in Ergodic Theory. Mathematical surveys and monographs. 39 indexed citations

Host, Bernard, Bryna Kra, & Alejandro Maass. (2015). Variations on topological recurrence. Monatshefte für Mathematik. 179(1). 57–89. 7 indexed citations

Host, Bernard, Bryna Kra, & Alejandro Maass. (2012). Systems lacking higher order nilfactors. arXiv (Cornell University).

Abakumov, Evgeny, Anne Beaulieu, F. Blanchard, et al.. (2012). The logarithmic Sobolev constant of the lamplighter. Journal of Mathematical Analysis and Applications. 399(2). 576–585. 1 indexed citations

Frantzikinakis, Nikos, et al.. (2009). Commuting averages with polynomial iterates of distinct degrees. arXiv (Cornell University). 2 indexed citations

Host, Bernard, Bryna Kra, & Alejandro Maass. (2009). Nilsequences and a structure theorem for topological dynamical systems. Advances in Mathematics. 224(1). 103–129. 37 indexed citations

10.

Host, Bernard. (2009). Ergodic seminorms for commuting transformations and applications. Studia Mathematica. 195(1). 31–49. 4 indexed citations

11.

Durand, Fabien, Bernard Host, & Christian Skau. (2008). Substitutional dynamical systems, Bratteli diagrams and dimension groups. ArXiv.org. 10 indexed citations

12.

Host, Bernard & Bryna Kra. (2008). Analysis of two step nilsequences. Annales de l’institut Fourier. 58(5). 1407–1453. 4 indexed citations

13.

Host, Bernard & Bryna Kra. (2004). Averaging Along Cubes. 6 indexed citations

14.

Host, Bernard. (2000). Some results of uniform distribution in the multidimensional torus. Ergodic Theory and Dynamical Systems. 20(2). 439–452. 11 indexed citations

15.

Blanchard, F., Eli Glasner, & Bernard Host. (1997). A variation on the variational principle and applications to entropy pairs. Ergodic Theory and Dynamical Systems. 17(1). 29–43. 50 indexed citations

16.

Blanchard, F., Bernard Host, & Alejandro Maass. (1996). Représentation par automate de fonctions continues de tore. Journal de Théorie des Nombres de Bordeaux. 8(1). 205–214. 3 indexed citations

17.

Host, Bernard, et al.. (1986). Analyse harmonique des mesures : Séminaire de Villetaneuse. 11 indexed citations

18.

Host, Bernard. (1986). Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable. Ergodic Theory and Dynamical Systems. 6(4). 529–540. 46 indexed citations

19.

Parreau, François, Bernard Host, & Colin C. Graham. (1980). The interior of the Šilov boundary of M(G) is trivial. Journal of Functional Analysis. 38(3). 342–353. 1 indexed citations

20.

Host, Bernard & François Parreau. (1978). Sur un problème de I. Glicksberg : les idéaux fermés de type fini de M ( G ) . Annales de l’institut Fourier. 28(3). 143–164. 7 indexed citations

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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