(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. October 2023. Submitted.
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.
