Olivier Ley

Computational Theory and Mathematics · 2001–2009

A researcher in the Science corpus: 5 papers; trusts 15 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 23 citations into it; #6,054 of 12,182 by trust here, #3,218 by citations
• Geometry and Topology — 14 citations into it
• Applied Mathematics — 11 citations into it; #3,392 of 7,620 by trust here, #2,707 by citations
• Mathematical Physics — 10 citations into it; #6,885 of 8,562 by trust here, #2,795 by citations
• Numerical Analysis — 6 citations into it; #3,150 of 3,586 by trust here, #1,221 by citations

Whom Olivier Ley trusts overall

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

1. Stanley J. Osher
2. Jérôme Bolte
3. Pierre-Antoine Absil
4. M. Crandall
5. Dominique Azé
6. Wendell H. Fleming
7. Asen L. Dontchev
8. A. S. Lewis
9. Aris Daniilidis

Who trusts Olivier Ley overall

1. Guy Barles
2. Ludovic Rifford
3. Martin Benning

Papers from Olivier Ley's perspective

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

1. Variational Analysis and Generalized Differentiation
2. Metric regularity and subdifferential calculus
3. The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems (SIAM Journal on Optimization)
4. The radius of metric regularity
5. User’s guide to viscosity solutions of second order partial differential equations
6. AN INTRODUCTION TO O-MINIMAL GEOMETRY
7. Convergence of the Iterates of Descent Methods for Analytic Cost Functions (SIAM Journal on Optimization)
8. Variational analysis and generalized differentiation
9. Characterizations of error bounds for lower semicontinuous functions on metric spaces
10. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Their papers

• Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity (2009) — 321 citations
• Characterizations of Lojasiewicz inequalities and applications (2008) — 37 citations
• Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods (2003) — 49 citations
• A Geometrical Approach to the Study¶of Unbounded Solutions¶of Quasilinear Parabolic Equations (2002) — 56 citations
• Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts (2001) — 61 citations