4 papers
math.DG2021
A Cheeger-like inequality for coexact 1-forms
Adrien Boulanger, Gilles Courtois
We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.
math.PR2020
Large deviations and rate of escape for hyperbolic random walks
Adrien Boulanger, Pierre Mathieu
Let be a countable group acting on a geodesic hyperbolic metric space and a probability measure on which generates a non elementary semi-group. Under the necessary…
math.DS2019
-dynamics on the moduli space of one-holed tori
Adrien Boulanger, Selim Ghazouani
We study the -action on the moduli space of (triangulable) dilation tori with one boundary component. We prove that every orbit is either closed or dense…
math.DG2018
A stochastic approach to counting problems
Adrien Boulanger
We study orbital functions associated to finitely generated geometrically infinite Kleinian groups acting on the hyperbolic space , developing a new method based on t…