Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Boulanger, Adrien"'
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 triangulation of dilation surfaces under the action of Teichm\"{u}ller flow in t
Externí odkaz:
http://arxiv.org/abs/2110.06061
Autor:
Boulanger, Adrien, Courtois, Gilles
We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.
Comment: We corrected an error in Section 2 which changed the statement of our main theorem. In dimension 3 the result is the same that i
Comment: We corrected an error in Section 2 which changed the statement of our main theorem. In dimension 3 the result is the same that i
Externí odkaz:
http://arxiv.org/abs/2103.09167
Let $\Gamma$ be a countable group acting on a geodesic Gromov-hyperbolic metric space $X$ and $\mu$ a probability measure on $\Gamma$ whose support generates a non-elementary subsemigroup. Under the assumption that $\mu$ has a finite exponential mome
Externí odkaz:
http://arxiv.org/abs/2008.02709
Autor:
Boulanger, Adrien, Mathieu, Pierre
Let $\Gamma$ be a countable group acting on a geodesic hyperbolic metric space $X$ and $\mu$ a probability measure on $\Gamma$ which generates a non elementary semi-group. Under the necessary assumption that $\mu$ has a finite exponential moment, we
Externí odkaz:
http://arxiv.org/abs/2004.14277
Autor:
Boulanger, Adrien, Glorieux, Olivier
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 point uniformly in the Dirichlet domain of the previous one. We prove a th
Externí odkaz:
http://arxiv.org/abs/2003.08187
Autor:
Boulanger, Adrien, Ghazouani, Selim
We study the $\mathrm{SL}_2(\mathbb{R})$-action on the moduli space of (triangulable) dilation tori with one boundary component. We prove that every orbit is either closed or dense, and that every orbit of the Teichmuller flow escapes to infinity.
Externí odkaz:
http://arxiv.org/abs/1912.08154
Autor:
Boulanger, Adrien
We study orbital functions associated to Kleinian groups through the heat kernel approach developed in \cite{artmoiheatcounting1}.
Comment: 30 pages, 3 figures
Comment: 30 pages, 3 figures
Externí odkaz:
http://arxiv.org/abs/1902.06580
Autor:
Boulanger, Adrien
We study orbital functions associated to finitely generated geometrically infinite Kleinian groups acting on the hyperbolic space $\mathbb{H}^3$, developing a new method based on the use of the Brownian motion. On the way, we give some estimates of t
Externí odkaz:
http://arxiv.org/abs/1811.02899
Autor:
Boulanger, Adrien
Publikováno v:
Pacific J. Math. 307 (2020) 257-281
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 acting on differential one forms. As an application, we compute the linking
Externí odkaz:
http://arxiv.org/abs/1709.00874
Publikováno v:
Ergod. Th. Dynam. Sys. 40 (2020) 2073-2097
We describe in this article the dynamics of a $1$-parameter family of affine interval exchange transformations. It amounts to studying the directional foliations of a particular affine surface, the Disco surface. We show that this family displays var
Externí odkaz:
http://arxiv.org/abs/1701.02332