Research articles

My papers by year of preprint release.

2018

[pdf]   Extensions with Shrinking Fibers.
[Dynamical systems]

[pdf]   Empirical measures: regularity is a counter-curse to dimensionality
[Probablity theory]

2017

[pdf]   An optimal transportation approach to the decay of correlations for non-uniformly expanding maps, to appear in Ergodic Theory and Dynamical Systems.
[Dynamical systems]

[pdf]   Mixed sectional-Ricci curvature obstructions on tori with Stéphane Sabourau, to appear in Journal of Topology and Analysis.
[Riemannian geometry]

[pdf]   Effective high-temperature estimates for intermittent maps, to appear in Ergodic Theory and Dynamical Systems.
[Dynamical systems]

[pdf]   Effective limit theorems for Markov chains with a spectral gap, to appear in the Annals of Applied Probability.
[Probability theory]

[pdf]   Effective perturbation theory for linear operators, to appear in Journal of Operator Theory.
[Functional Analysis]

2016

[pdf]   The linear request problem, Proceedings of the American Mathematical Society 146-7 (2018).
[Dynamical systems]

2015

[pdf]   The calculus of the thermodynamical formalism joint with Paolo Giulietti, Artur O. Lopes and Diego Marcon Farias, to appear in Journal of the European Mathematical Society.
[Dynamical systems]

[pdf]   On the asymptotic behavior of minimal surfaces in 2 × ℝ joint with Rafe Mazzeo, Indiana University Mathematics Journal 66 (2017).
[Riemannian geometry, Symmetric spaces]

2014

[pdf]   Contraction in the Wasserstein metric for some Markov chains, and applications to the dynamics of expanding maps joint with Artur O. Lopes and Manuel Stadlbauer, Nonlinearity 28 (2015).
[Dynamical systems]

[pdf]   The Cartan-Hadamard conjecture and the Little Prince joint with Greg Kuperberg; new expanded and modified version of the preprint “The Little Prince and Weil’s isoperimetric problem” (2012). Revised in 2016. Accepté au Revista Matemática Iberoamericana.
[Riemannian geometry, Isoperimetric inequalities]

[pdf]  Curvatures and anisometry of maps, Communications in Analysis and Geometry 23 (2015).
[Riemannian geometry]

[pdf]  A geometric study of Wasserstein spaces: isometric rigidity in negative curvature, joint with Jérôme Bertrand, International Mathematical Research Notices 2015.
[Optimal transport, Metric geometry]

2013

[pdf]  A geometric study of Wasserstein spaces: ultrametrics, Mathematika 61 (2015).
[Optimal transport, Metric geometry]

[pdf]  Yet another short proof of Bourgain’s distorsion estimate for embedding of trees into uniformly convex Banach spaces, Israel Journal of Mathematics 200 (2014).
[Functional analysis]

[pdf]  Geometry on the utility space, joint with François Durand, Fabien Mathieu and Ludovic Noirie, Algorithmic Decision Theory 2015, Lecture Notes in Computer Science 9346 (2015).
[Social choice]

[pdf]  Coloring distance graphs: a few answers and many questions, Geombinatorics XXIV (2015).
[Combinatorics, Metric geometry]

2012

[pdf]  A refinement of Günther’s candle inequality, joint with Greg Kuperberg, Asian Journal of Mathematics 19 (2015).
[Riemannian geometry]

[pdf]  A geometric study of Wasserstein spaces: an addendum on the boundary, joint with Jérôme Bertrand, conférence GIS 2013, Lecture Notes in Computer Science Volume 8085 (2013).
[Optimal transport, Metric geometry]

2011

[pdf]  A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserstein spaces, Journal of Topology and Analysis 4 (2012).
[Optimal transport, Metric geometry]

2010

[pdf]  Optimal transport and dynamics of expanding circle maps acting on measures, Ergodic Theory and Dynamical Systems 33 (2013). This version includes a corrigendum and an addendum written in 2014, to appear in ETDS.
[Dynamical systems, Optimal transport]

[pdf]  A geometric study of Wasserstein spaces: Hadamard spaces, joint with Jérôme Bertrand, Journal of Topology and Analysis 4 (2012).
[Optimal transport, Metric geometry]

[pdf]  Approximation by finitely supported measures, ESAIM: Control, Optimisation and Calculus of Variations 18 (2012).
[Optimal transport]

2009

[pdf]  Sharp quantitative isoperimetric inequalities in the L1 Minkowski plane, Proceedings of the American Mathematical Society 138 (2010).
[Isoperimetric inequalities]

2008

[pdf]  A geometric study of Wasserstein spaces: Euclidean spaces, Annali della Scuola Normale Superiore di Pisa IX (2010).
[Optimal transport, Metric geometry]

[pdf]  Almost homogeneous manifolds with boundary, Transactions of the American Mathematical Society, 361 (2009)
[Lie group actions, Symmetric spaces]

[pdf]  The space of closed subgroups of Rn is stratified and simply connected, Journal of Topology 2 (2009).
[Topology, Geometry of groups]

[pdf]  The space of closed subgroups of R2 and Seifert invariants, The Graduate Student Mathematical Diary 1 (2016).
[Topology, Geometry of groups]

[pdf]  Quelques notions d’espaces stratifiés, Séminaire de Théorie Spectrale et Géométrie 26 (2007-2008).
[Topology]

2007

[pdf]  On Lipschitz compactifications of trees, Comptes-rendus de l’Académie des science, 346 (2008).
[Group actions, Metric geometry]

2006

[pdf]  Rigidity in CR geometry: the Schoen-Webster theorem, joint with Vincent Minerbe, Differential Geometry and its Applications 27 (2009)
[CR geometry, Group actions]

[pdf]  Sur les remplissages holomorphes équivariants, Annales de l’institut Fourier 57 (2007)
[CR geometry, Group actions]

2005

[pdf]  Symmetric spaces of higher rank do not admit differentiable compactifications, Mathematische Annalen 347 (2010).
[Lie group actions, Symmetric spaces]

2004

[pdf]  On differentiable compactifications of the hyperbolic space, Transformation Groups 11 (2006).
[Lie group actions, Riemannian geometry]

[pdf]  On differentiable compactifications of the hyperbolic plane and algebraic actions of SL(2;R) on surfaces, Geometriae Dedicata 125 (2007).
[Lie group actions, Riemannian geometry]