8 citations · 28 across the 14 of their papers we have counts for
22 papers
Stability and uniqueness of minimal disks in non-constant curvature
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
Nitsche proved that every smooth Jordan curve in of total curvature at most bounds a unique minimal disk, which is moreover strictly stable. We prove an analogu…
Foliated Plateau problems, surface Radon transforms, and boundary area rigidity in dimension three
Sébastien Alvarez, Thibault Lefeuvre, Ben Lowe +1
The present paper studies integral geometry problems on three-dimensional Riemannian balls, where integration is performed over minimal surfaces or, more generally, -surfaces de…
Foliated Plateau problems, geometric rigidity and equidistribution of closed -surfaces
Sébastien Alvarez
In this note, we survey recent advances in the study of dynamical properties of the space of surfaces with constant curvature in three-dimensional manifolds of negative sectional c…
Rigidity of the hyperbolic marked energy spectrum and entropy for -surfaces
Sébastien Alvarez, Ben Lowe, Graham Smith
Labourie raised the question of determining the possible asymptotics for the growth rate of compact -surfaces, counted according to energy, in negatively curved -manifolds, i…
Foliated Plateau problems and asymptotic counting of surface subgroups
Sébastien Alvarez, Ben Lowe, Graham Smith
In [17], Labourie initiated the study of the dynamical properties of the space of -surfaces, that is, suitably complete immersed surfaces of constant extrinsic curvature in -…
Rigidity of -Gibbs measures near conservative Anosov diffeomorphisms on
Sébastien Alvarez, Martin Leguil, Davi Obata +1
We show that within a -neighbourhood of the set of volume preserving Anosov diffeomorphisms on the three-torus which are strongly partially hyperb…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…
Topology of leaves for minimal laminations by non-simply connected hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum
We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed…
Earthquakes and graftings of hyperbolic surface laminations
Sébastien Alvarez, Graham Smith
We study compact hyperbolic surface laminations. These are a generalization of closed hyperbolic surfaces which appear to be more suited to the study of Teichmüller theory than arb…
Topology of leaves for minimal laminations by hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum, Matilde Martínez +1
We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of t…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction
Juan Alonso, Sébastien Alvarez, Dominique Malicet +2
Following the recent advances in the study of groups of circle diffeomorphisms, we describe an efficient way of classifying the topological dynamics of locally discrete, finitely g…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…
Existence of common zeros for commuting vector fields on -manifolds II. Solving global difficulties
Sébastien Alvarez, Christian Bonatti, Bruno Santiago
We address the following conjecture about the existence of common zeros for commuting vector fields in dimension three: if are two commuting vector fields on a -mani…
Physical measures for the geodesic flow tangent to a transversally conformal foliation
Sébastien Alvarez, Jiagang Yang
We consider a transversally conformal foliation of a closed manifold endowed with a smooth Riemannian metric whose restriction to each leaf is negatively curved.…
The Teichmüller space of the Hirsch foliation
Sébastien Alvarez, Pablo Lessa
We prove that the Teichmüller space of the Hirsch foliation (a minimal foliation of a closed 3-manifold by non-compact hyperbolic surfaces) is homeomorphic to the space of closed c…
Groups with infinitely many ends acting analytically on the circle
Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn +4
This article takes the inspiration from two milestones in the study of non minimal actions of groups on the circle: Duminy's theorem about the number of ends of semi-exceptional le…
Existence of common zeros for commuting vector fields on -manifolds
Christian Bonatti, Bruno Santiago
In E. Lima proved that commuting vector fields on surfaces with non-zero Euler characteristic have common zeros. Such statement is empty in dimension , since all the Euler…
A Fatou theorem for -harmonic functions
Sébastien Alvarez
In this paper we study a class of functions that appear naturally in some equidistribution problems and that we call -harmonic. These are functions of the universal cover of a c…
Singularities for analytic continuations of holonomy germs of Riccati foliations
Sébastien Alvarez, Nicolas Hussenot
In this paper we study the problem of analytic extension of germs of holonomy of algebraic foliations. More precisely we prove that for a Riccati foliation associated to a branched…
Gibbs u-states for the foliated geodesic flow and transverse invariant measures
Sébastien Alvarez
This paper is devoted to the study of Gibbs u-states for the geodesic flow tangent to a foliation with negatively curved leaves. On the one hand we give sufficient conditions for t…
Gibbs measures for foliated bundles with negatively curved leaves
Sébastien Alvarez
In this paper we develop a notion of Gibbs measure for the geodesic flow tangent to a foliated bundle over a compact and negatively curved basis. We also develop a notion of -ha…
Harmonic measures and the foliated geodesic flow for foliations with negatively curved leaves
Sébastien Alvarez
In this paper we define a notion of Gibbs measure for the geodesic flow tangent to a foliation with negatively curved leaves and associated to a particular potential H. We prove th…