4 papers
Measure Concentration around Minimal Hypersurfaces
Vicent Gimeno i Garcia, Vicente Palmer
The classical measure concentration phenomenon on the standard sphere asserts that the volume of any tubular neighborhood of a totally geodesic equator $\mathbb{S}^{…
Criteria for parabolicity and hyperbolicity of conductive Riemannian manifolds
Vicent Gimeno i Garcia, Ana Hurtado, Steen Markvorsen +1
Motivated by the physics of anisotropic conductive materials we consider a linear elliptic operator of divergence type on a Riemannian manifold . The…
Concentration of mean exit times
G. Pacelli Bessa, Vicent Gimeno i Garcia, Vicente Palmer
The mean exit time function defined on the -tube around any equator of the sphere , (), goes to infinity wit…
Fat equator effect and Minimality in immersions and submersions of the Sphere
Vicent Gimeno i Garcia, Vicente Palmer
Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general, (and intrinsic), concentration of measure in $\mathbb{S}^n…