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Christian Bonatti

Christian Bonatti

D-Index & Metrics

Mathematics

D-Index
37
Citations
6906
World Ranking
2466
National Ranking
148

Overview

Christian Bonatti is affiliated with the University of Burgundy in France. Their research primarily centers on mathematics, with a significant focus on mathematical physics, geometry and topology, statistical and nonlinear physics, applied mathematics, and computational theory and mathematics.

Their main fields of study include:

  • Mathematics

More specifically, their subfields of expertise cover:

  • Mathematical Physics
  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Computational Theory and Mathematics

Christian Bonatti's research topics include:

  • Mathematical Dynamics and Fractals
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Quantum chaos and dynamical systems
  • Advanced Differential Equations and Dynamical Systems
  • Algebraic Geometry and Number Theory
  • Geometry and complex manifolds

The scientist has contributed several published papers, including:

  • Star flows and multisingular hyperbolicity, 2021, Journal of the European Mathematical Society
  • Anosov flows on -manifolds: the surgeries and the foliations, 2022, Ergodic Theory and Dynamical Systems
  • Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group, 2020, Astérisque
  • Upper, down, two-sided Lorenz attractor, collisions, merging and switching, 2021, arXiv (Cornell University)
  • Action on the circle at infinity of foliations of ℝ², 2024, L'Enseignement Mathématique

Frequent venues for their publications show recurring contributions to:

  • arXiv (Cornell University)
  • Ergodic Theory and Dynamical Systems
  • Astérisque
  • Journal of the European Mathematical Society
  • L'Enseignement Mathématique

Collaboration is a part of their scientific activity, with frequent co-authors including:

  • Katsutoshi Shinohara
  • Xavier Gómez-Mont
  • Manuel González Villa
  • Pablo Portilla Cuadrado
  • Ioannis Iakovoglou

Best Publications

  • SRB measures for partially hyperbolic systems whose central direction is mostly expanding

    José F. Alves;Christian Bonatti;Marcelo Viana

  • Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

    Christian Bonatti;Lorenzo J. Díaz;Marcelo Viana

  • SRB measures for partially hyperbolic systems whose central direction is mostly contracting

    Unknown

  • A C^1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources

    Christian Bonatti;Lorenzo Díaz;Enrique R. Pujals

  • Récurrence et généricité

    Christian Bonatti;Sylvain Crovisier

  • Persistent nonhyperbolic transitive diffeomorphisms

    Christian Bonatti;Lorenzo J. Díaz

  • Recurrence and genericity

    Christian Bonatti;Sylvain Crovisier

  • NONUNIFORM HYPERBOLICITY FOR C 1 -GENERIC DIFFEOMORPHISMS

    Flavio Abdenur;Christian Bonatti;Sylvain Crovisier

  • Lyapunov exponents with multiplicity 1 for deterministic products of matrices

    C. Bonatti;M. Viana

  • Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices

    Christian Bonatti;Xavier Gómez-Mont;Marcelo Viana

  • Robust heterodimensional cycles and C 1 -generic dynamics

    Christian Bonatti;Lorenzo J. Díaz

  • Connexions hétéroclines et généricité d'une infinité de puits et de sources

    Christian Bonatti;Lorenzo Díaz

  • Knots as Topological Invariants for Gradient-Like Diffeomorphisms of the Sphere S3

    Unknown

  • Transitive partially hyperbolic diffeomorphisms on 3-manifolds

    Christian Bonatti;Amie Wilkinson

  • Perturbations of the derivative along periodic orbits

    Christian Bonatti;Nikolas Gourmelon;Thérèse Vivier

  • Lorenz attractors with arbitrary expanding dimension

    C. Bonatti;A. Pumarino;M. Viana

  • Periodic points and homoclinic classes

    Flavio Abdenur;Christian Bonatti;Sylvain Crovisier;Lorenzo J. Díaz

  • Abundance of C 1 -robust homoclinic tangencies

    Christian Bonatti;Lorenzo J. Díaz

  • Difféomorphismes de smale des surfaces

    Christian Bonatti;Remi Langevin;Emmanuelle Jeandenans

  • Removing zero Lyapunov exponents

    Alexandre T. Baraviera;Christian Bonatti

  • On maximal transitive sets of generic diffeomorphisms

    Christian Bonatti;Lorenzo J. Díaz

  • MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

    Christian Bonatti;Lorenzo J. Díaz;Raúl Ures

Frequent Co-Authors

Marcelo Viana
Marcelo Viana Instituto Nacional de Matemática Pura e Aplicada
John Franks
John Franks Northwestern University
Alex Eskin
Alex Eskin University of Chicago
Viviane Baladi
Viviane Baladi Centre national de la recherche scientifique, CNRS
Uffe Haagerup
Uffe Haagerup University of Copenhagen
Mark Sapir
Mark Sapir Vanderbilt University
André Haefliger
André Haefliger University of Geneva

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