Prints/Preprints

• Large deviation principles for non-elementary random walks on hyperbolic spaces, with A. Sisto. arXiv
• (Non)-escape of mass and equidistribution for horospherical actions on trees, with C. Ciobotaru and V. Finkelshtein. arXiv (submitted) -- [slides] , [video]
• A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures, with I.D. Morris. arXiv (submitted)
• Law of large numbers for the spectral radius of random matrix products, with R. Aoun. arXiv (submitted)
• Markov random walks on homogeneous spaces and Diophantine approximation on fractals, with R. Prohaska. arXiv , to appear in Trans. Amer. Mat. Soc.
• A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris. arXiv , accepted (subj. to minor rev.) to Ergodic Theory Dynam. Systems.
• Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein. arXiv , to appear in IMRN -- [slides] , [video]
• The joint spectrum (I), with E. Breuillard. arXiv (submitted) -- [Carlos Matheus' blog post]
• Large deviation principle for random matrix products, Ann. Probab. Vol. 47, 3 (2019), 1335-1377. arXiv (See also CRAS 355 (2017), no. 6, 718–722.)

Coming soon (or later)

• Finiteness properties for joint spectral radii in SL(2,R), with E. Breuillard.
• Abundance of counterexamples to the finiteness conjecture in arbitrary dimension, with J. Bochi.
• Growth indicator for semisimple linear groups.

Other texts

Some activity

Teaching