What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Mathematical analysis
- Topology
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.
His most cited work include:
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding (343 citations)
- Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective (312 citations)
- A C^1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources (228 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (67.03%)
- Diffeomorphism (29.12%)
- Mathematical analysis (21.98%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (67.03%)
- Ergodic theory (16.48%)
- Invariant (14.84%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- Hyperbolicity as an obstruction to smoothability for one-dimensional actions (10 citations)
- Dominated Pesin theory: convex sum of hyperbolic measures (7 citations)
- A criterion for zero averages and full support of ergodic measures (7 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Topology
- Pure mathematics
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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