7 citations · 7 across the 9 of their papers we have counts for
10 papers
Closed geodesics in dilation surfaces
Adrien Boulanger, Selim Ghazouani, Guillaume Tahar
We prove that directions of closed geodesics in every dilation surface form a dense subset of the circle. The proof draws on a study of the degenerations of the Delaunay triangulat…
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.
Large deviations for random walks on Gromov-hyperbolic spaces
Adrien Boulanger, Pierre Mathieu, Cagri Sert +1
Let be a countable group acting on a geodesic Gromov-hyperbolic metric space and a probability measure on whose support generates a non-elementary subsemigroup. Und…
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…
The Dirichlet random walk
Adrien Boulanger, Olivier Glorieux
In this article we define and study a stochastic process on Galoisian covers of compact manifolds. The successive positions of the process are defined recursively by picking a poin…
-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…
Orbital functions and heat kernels of Kleinian groups
Adrien Boulanger
We study orbital functions associated to Kleinian groups through the heat kernel approach developed in \cite{artmoiheatcounting1}.
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…
A spectral approach to the linking number in the 3-torus
Adrien Boulanger
Given a closed Riemannian manifold and a pair of multi-curves in it, we give a formula relating the linking number of the later to the spectral theory of the Laplace operator actin…
Cascades in the dynamics of affine interval exchange transformations
Adrien Boulanger, Charles Fougeron, Selim Ghazouani
We describe in this article the dynamics of a -parameter family of affine interval exchange transformations. It amounts to studying the directional foliations of a particular af…