(pdf) Bending, entropy and proper affine actions of surface groups.
With Martin Bridgeman and Dick Canary. February 2026. Submitted
(pdf) Asymptotic properties of infinitesimal characters and applications. June 2024. Submitted.
(pdf) Metric properties of boundary maps, Hilbert entropy and non-differentiability.
With Beatrice Pozzetti. To appear in Annales Henri Lebesgue.
Recorded lectures of a mini-course at IHES (Lecture 2 deals with this paper): 1, 2.
(pdf) Infinitesimal Zariski closures of positive representations.
J. Differential Geometry, 2024, 128 (2) 861 – 901, 2024.
(pdf) Anosov representations with Lipschitz limit set.
With Beatrice Pozzetti and Anna Wienhard.
Geom. & Top. 27(8) 3303 – 3360, 2023
(pdf) A report on an ergodic dichotomy.
Ergodic Theory & Dynamical Systems, 44(1) 236 – 289, 2024
(pdf) Hessian of Hausdorff dimension on purely imaginary directions.
With Martin Bridgeman, Beatrice Pozzetti and Anna Wienhard.
Bull. London Math. Soc. 54, issue 3 (2022), pp. 1027-1050.
Slides of a talk about this paper given at Dynamics of Group actions: a conference in honor of Yves Benoist
(pdf) Conformality for a robust class of non-conformal attractors.
With Beatrice Pozzetti and Anna Wienhard.
J. Reine Angew. Math. 2021, issue 774 (2021), pp. 1-51.
(pdf) Anosov representations and dominated splittings.
With Jairo Bochi and Rafael Potrie.
Jour. Europ. Math. Soc. 21, issue 11 (2019), pp. 3343-3414.
Video lectures of a 4h mini-course at the Gear Junior Retreat about this paper:
Lectures 1, 2, 3, 4 and exercises.
(pdf) Simple root flows for Hitchin representations.
With Martin Bridgeman, Dick Canary and François Labourie.
Geom. Dedic. 192 (2018) pp. 57-86. William Goldman’s 60th birthday special edition.
(pdf) Introduction to pressure metrics on higher Teichmuller spaces.
With Martin Bridgeman and Dick Canary.
Ergodic Theory & Dynamical Systems, 28 issue 6 (2018), pp. 2001-2035.
(pdf) Eigenvalues and entropy of a Hitchin representation.
With Rafael Potrie.
Invent. Math. 209, issue 3 (2017), pp. 885-925.
Appendix of: (Arxiv) Amalgam Anosov representations, by Dick Canary, Michelle Lee and Matthew Stover.
Geom. & Top. 21, issue 1 (2017), pp. 215-251, joint with the authors.
(pdf) On entropy, regularity and rigidity for convex representations of hyperbolic manifolds.
Math. Annalen. 364, issue 1 (2016), pp.453-483.
(pdf) The Pressure metric for Anosov representations.
With Martin Bridgeman, Dick Canary and François Labourie.
Geom. Funct. Anal. 25, issue 4 (2015), pp.1089-1179.
(pdf) The orbital counting problem for hyperconvex representations.
Ann. Inst. Fourier. 65, issue 4 (2015), pp. 1755-1797.
(pdf) Hyperconvex representations and exponential growth.
Ergodic Theory & Dynamical Systems 34, issue 3 (2014), pp.986-1010.
(pdf) Quantitative properties of convex representations.
Comment. Math. Helv. 89, issue 2 (2014), pp. 443-488.
