Counting statistics for geodesics on flat surfaces
Published in (preprint), 2025
joint with M. Pollicott
Download here
Publications
Manhattan geodesics and the boundary of the space of metric structures on hyperbolic groups
Published in Commentarii Mathematici Helvetici, 100, no. 1, 11–59, 2025
joint with E. Reyes
Download here
The joint translation spectrum and Manhattan manifolds
Published in (preprint), 2024
joint with E. Reyes and C. Sert
Download here
Approximate marked length spectrum rigidity in coarse geometry
Published in (preprint), 2024
joint with E. Reyes
Download here
Central limit theorems for Green metrics on hyperbolic groups
Published in (preprint), 2024
joint with M. Pollicott
Download here
Invariant measures of the topological flow and measures at infinity on hyperbolic groups
Published in Journal of Modern Dynamics, Vol. 20, 215-274, 2024
joint with R. Tanaka.
Download here
The Manhattan curve, ergodic theory of topological flows and rigidity
Published in To appear in Geometry and Topology, 2024
joint with R. Tanaka
Download here
Rigidity and statistics for group actions on CAT(0) cube complexes
Published in (preprint), 2023
joint with E. Reyes
Download here
Sparse spectrally rigid sets for negatively curved manifolds
Published in (preprint), 2023
Download here
Marked length spectrum rigidity from rigidity on subsets
Published in (preprint), 2023
joint with E. Reyes
Download here
Counting and boundary limit theorems for representations of Gromov-hyperbolic groups
Published in Proceedings of the London Mathematical Society, Vol. 127, Issue 3, 589-652, 2023
joint with C. Sert.
Download here
Mixing of the Mineyev flow, orbital counting and Poincaré series for strongly hyperbolic metrics
Published in to appear in Mathematische Annalen, 2022
Download here
Comparison theorems for closed geodesics on negatively curved surfaces
Published in Groups, geometry and dynamics, Vol. 16, No. 2, 461–491, 2022
joint with M. Pollicott.
Download here
Typical behaviour along geodesic rays in hyperbolic groups
Published in Mathematische Zeitschrift, Vol. 297, 711–727, 2021
Download here
Statistical limit laws for hyperbolic groups
Published in Transactions of the American mathematical society, Vol. 374, 2687-2732, 2021
Download here
Relative growth in hyperbolic groups
Published in Monatshefte für Mathematik, Vol. 195, 1- 13, 2021
joint with R. Sharp.
Download here
A Central Limit Theorem for Periodic Orbits of Hyperbolic Flows
Published in Dynamical Systems, Vol. 36, 142-153, 2021
joint with R. Sharp.
Download here