C. Bonatti

Mathematical Physics · Ergodic Theory and Dynamical Systems · 2000–2015

A researcher in the Science corpus: 23 papers; trusts 16 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

Mathematical Physics — 65 citations into it; #267 of 8,562 by trust here, #116 by citations
Statistical and Nonlinear Physics — 48 citations into it; #367 of 10,127 by trust here, #381 by citations
Geometry and Topology — 44 citations into it; #809 of 7,422 by trust here, #411 by citations
Computer Networks and Communications — 12 citations into it
Control and Systems Engineering — 5 citations into it

Whom C. Bonatti trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

Who trusts C. Bonatti overall

Papers from C. Bonatti's perspective

Ordered by how strongly the researchers C. Bonatti trusts endorse each paper. Same corpus, a different order for every researcher.

SRB measures for partially hyperbolic systems whose central direction is mostly expanding
Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
Partially hyperbolic and transitive dynamics generated by heteroclinic cycles (Ergodic Theory and Dynamical Systems)
Periodic points and homoclinic classes (Ergodic Theory and Dynamical Systems)
Recent Results About Stable Ergodicity
GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES
Pathological foliations and removable zero exponents
Homoclinic classes for generic C^1 vector fields (Ergodic Theory and Dynamical Systems)
Symbolic extensions and smooth dynamical systems
Perturbations of the derivative along periodic orbits (Ergodic Theory and Dynamical Systems)

Their papers

Robust Criterion for the Existence of Nonhyperbolic Ergodic Measures (2015) — 54 citations
Building Anosov flows on 3–manifolds (2014) — 61 citations
Rigidity for $$C^1$$C1 actions on the interval arising from hyperbolicity I: solvable groups (2013) — 51 citations
SURVEY Towards a global view of dynamical systems, for the C1-topology (2011) — 48 citations
Abundance of C 1 -robust homoclinic tangencies (2009) — 67 citations
The C1 generic diffeomorphism has trivial centralizer (2008) — 56 citations
Nonuniform hyperbolicity for C^1-generic diffeomorphisms (2008) — 89 citations
Nonuniform hyperbolicity for C1-generic diffeomorphisms (2008) — 146 citations
ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS (2007) — 113 citations
Perturbations of the derivative along periodic orbits (2006) — 93 citations
Periodic points and homoclinic classes (2006) — 95 citations
Lyapunov exponents with multiplicity 1 for deterministic products of matrices (2004) — 113 citations
Topological classification of gradient-like diffeomorphisms on 3-manifolds (2004) — 49 citations
Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective (2004) — 484 citations
On maximal transitive sets of generic diffeomorphisms (2003) — 81 citations
GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES (2003) — 111 citations
A C^1-generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources (2003) — 330 citations
Removing zero Lyapunov exponents (2003) — 92 citations
MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS (2002) — 69 citations
Three-manifolds admitting Morse–Smale diffeomorphisms without heteroclinic curves (2002) — 50 citations