World's Best Scientists 2026 revealed!

Overview

Bernard Host is affiliated with Université Gustave Eiffel in France. Their research spans the field of Mathematics, with a concentration on several subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Discrete Mathematics and Combinatorics, and Materials Chemistry.

Their work covers a range of topics, notably:

  • Mathematical Dynamics and Fractals
  • Graph theory and applications
  • Functional Equations Stability Results
  • Advanced mathematical theories
  • Limits and Structures in Graph Theory
  • Quasicrystal Structures and Properties

Bernard Host has published research in various academic venues. The most frequent publication outlets include:

  • arXiv (Cornell University)
  • Journal of the London Mathematical Society
  • Proceedings of the American Mathematical Society

Recent papers authored or coauthored by Bernard Host comprise:

  • Multiple recurrence and convergence without commutativity, 2023, Journal of the London Mathematical Society
  • Bohr recurrence and density of non-lacunary semigroups of ℕ, 2024, Proceedings of the American Mathematical Society
  • Multiple recurrence and convergence without commutativity, 2021, arXiv (Cornell University)
  • Bohr recurrence and density of non-lacunary semigroups of ℕ, 2024, arXiv (Cornell University)

Collaborations are a significant aspect of their research. Frequent coauthors include:

  • Nikos Frantzikinakis
  • Bryna Kra

Best Publications

  • Nonconventional ergodic averages and nilmanifolds

    Bernard Host;Bryna R. Kra

  • Substitutional dynamical systems, Bratteli diagrams and dimension groups

    Fabien Durand;Bernard Host;Christian Skau

  • Multiple recurrence and nilsequences

    Vitaly Bergelson;Bernard Host;Bryna Kra;Imre Ruzsa

  • Convergence of polynomial ergodic averages

    Bernard Host;Bryna Kra

  • Mixing of all orders and pairwise independent joinings of systems with singular spectrum

    Bernard Host

  • Uniformity seminorms on ℓ∞ and applications

    Bernard Host;Bryna Kra

  • Ergodic seminorms for commuting transformations and applications

    Bernard Host

  • Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable

    B. Host

  • Higher order Fourier analysis of multiplicative functions and applications

    Nikos Frantzikinakis;Bernard Host

  • Nilpotent Structures in Ergodic Theory

    Bernard Host;Bryna Kra

  • Nombres normaux, entropie, translations

    Bernard Host

  • Asymptotic pairs in positive-entropy systems

    F. Blanchard;B. Host;S. Ruette

  • Non singular transformations and spectral analysis of measures

    Bernard Host;Jean-François Méla;François Parreau

  • Nilsequences and a structure theorem for topological dynamical systems

    Bernard Host;Bryna Kra;Alejandro Maass

  • Ergodic averages of commuting transformations with distinct degree polynomial iterates

    Qing Chu;Nikos Frantzikinakis;Bernard Host

  • The logarithmic Sarnak conjecture for ergodic weights

    Nikos Frantzikinakis;Bernard Host

  • A variation on the variational principle and applications to entropy pairs

    F. Blanchard;E. Glasner;B. Host

  • Convergence of Conze-Lesigne averages

    Bernard Host;Bryna Kra

  • Multiple recurrence and convergence for sequences related to the prime numbers

    Nikos Frantzikinakis;Bernard Host;Bryna Kra

  • Simple systems and their higher order self-joinings

    E. Glasner;B. Host;D. Rudolph

Frequent Co-Authors

Eli Glasner
Eli Glasner Tel Aviv University
Vitaly Bergelson
Vitaly Bergelson The Ohio State University

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