Pure mathematics, Discrete mathematics, Diffeomorphism, Mathematical analysis and Transitive relation are his primary areas of study. His work often combines Pure mathematics and Dynamics studies. His Diffeomorphism research is multidisciplinary, incorporating elements of Manifold and Class.
In the subject of general Mathematical analysis, his work in Periodic orbits and Lebesgue measure is often linked to Hyperbolic systems, thereby combining diverse domains of study. His work carried out in the field of Lebesgue measure brings together such families of science as Gravitational singularity, Tangent bundle, Bounded function and Subbundle. The various areas that he examines in his Transitive relation study include Anosov diffeomorphism, Flow and Structural stability.
Christian Bonatti focuses on Pure mathematics, Diffeomorphism, Mathematical analysis, Discrete mathematics and Ergodic theory. His Pure mathematics study combines topics in areas such as Flow, Attractor and Transitive relation. The concepts of his Diffeomorphism study are interwoven with issues in Centralizer and normalizer, Dimension, Dense set, Class and Space.
His work on Lebesgue measure, Closure and Holonomy as part of his general Mathematical analysis study is frequently connected to Saddle and Perturbation, thereby bridging the divide between different branches of science. His Ergodic theory research is multidisciplinary, relying on both Zero, Measure, Invariant measure, Probability measure and Geodesic. As part of one scientific family, Christian Bonatti deals mainly with the area of Invariant, narrowing it down to issues related to the Vector field, and often Gravitational singularity.
Christian Bonatti spends much of his time researching Pure mathematics, Ergodic theory, Invariant, Transitive relation and Zero. He works in the field of Pure mathematics, focusing on Diffeomorphism in particular. His Diffeomorphism research is multidisciplinary, incorporating perspectives in Countable set, Algebra over a field and Dimension.
His research in Ergodic theory intersects with topics in Projectivization, Geodesic, Probability measure and Regular polygon. His Invariant study integrates concerns from other disciplines, such as Vector field, Horocycle, Attractor and Vector bundle. His Transitive relation study incorporates themes from Foliation, Center and Metric.
Christian Bonatti mostly deals with Pure mathematics, Ergodic theory, Mathematical analysis, Transitive relation and Invariant. The Pure mathematics study combines topics in areas such as Interval and PSL. Christian Bonatti has researched Ergodic theory in several fields, including Flow, Geodesic and Regular polygon.
His study in the fields of Zero under the domain of Mathematical analysis overlaps with other disciplines such as Characteristic space and Heteroclinic cycle. The study incorporates disciplines such as Metric, Closure, Center, Torus and Foliation in addition to Transitive relation. His Invariant study combines topics from a wide range of disciplines, such as Periodic orbits and Converse.
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SRB measures for partially hyperbolic systems whose central direction is mostly expanding
José F. Alves;Christian Bonatti;Marcelo Viana.
Inventiones Mathematicae (2000)
Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective
Christian Bonatti;Lorenzo J. Díaz;Marcelo Viana.
A C^1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources
Christian Bonatti;Lorenzo Díaz;Enrique R. Pujals.
Annals of Mathematics (2003)
Récurrence et généricité
Christian Bonatti;Sylvain Crovisier.
Inventiones Mathematicae (2004)
Persistent nonhyperbolic transitive diffeomorphisms
Christian Bonatti;Lorenzo J. Díaz.
Annals of Mathematics (1996)
Recurrence and genericity
Christian Bonatti;Sylvain Crovisier.
Comptes Rendus Mathematique (2003)
NONUNIFORM HYPERBOLICITY FOR C 1 -GENERIC DIFFEOMORPHISMS
Flavio Abdenur;Christian Bonatti;Sylvain Crovisier.
Israel Journal of Mathematics (2011)
Lyapunov exponents with multiplicity 1 for deterministic products of matrices
C. Bonatti;M. Viana.
Ergodic Theory and Dynamical Systems (2004)
Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices
Christian Bonatti;Xavier Gómez-Mont;Marcelo Viana.
Annales De L Institut Henri Poincare-analyse Non Lineaire (2003)
Connexions hétéroclines et généricité d'une infinité de puits et de sources
Christian Bonatti;Lorenzo Díaz.
Annales Scientifiques De L Ecole Normale Superieure (1999)
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