3 citations · 5 across the 11 of their papers we have counts for
14 papers
Rigidity of flat holonomies
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that the existence of one horosphere in the universal cover of a closed, strictly quarter pinched, negatively curved Riemannian manifold of dimension on which th…
Poincaré inequality on complete Riemannian manifolds with Ricci curvature bounded below
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that complete Riemannian manifolds with polynomial growth and Ricci curvature bounded from below, admit uniform Poincaré inequalities. A global, uniform Poincaré inequalit…
Closed, negatively curved Riemannian manifolds with a flat horosphere are hyperbolic
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that the existence of one flat horosphere in the universal cover of a closed, strictly quarter pinched, negatively curved Riemannian manifold of dimension n with n greater…
Approximation of conformal mappings and novel applications to shape recognition of planar domains
Sa'ar Hersonsky
Our goal is to provide a novel method of representing 2D shapes, where each shape will be assigned a unique fingerprint - a computable approximation to a conformal map of the given…
Addendum: the case of closed surfaces. (Boundary Value Problems on Planar Graphs and Flat Surfaces with integer cone singularities, I: The Dirichlet Problem)
Saar Hersonsky
We extend our discrete uniformization theorems for planar, -connected, Jordan domains [Journal für die reine und angewandte Mathematik 670 (2012), 65--92] to closed surfaces of…
Combinatorial Harmonic Maps and Convergence to Conformal Maps, I: A Harmonic Conjugate
Sa'ar Hersonsky
In this paper, we provide new discrete uniformization theorems for bounded, -connected planar domains. To this end, we consider a planar, bounded, -connected domain and l…