4 papers
Stochastic Characterization of Harmonic maps on Riemannian polyhedra
M. A. Aprodu, T. Bouziane
We have completely rewritten the paper, and corrected the proofs. We construct an exponential map at any point in the (n-1)-skeleton minus the (n-2)-skeleton of an n-dimensional Ri…
Pseudo Harmonic Morphisms on Riemannian Polyhedra
M. A. Aprodu, T. Bouziane
The aim of this paper is to extend the notion of pseudo harmonic morphism (introduced by Loubeau \cite {Lo}) to the case when the source manifold is an admissible Riemannian polyhe…
Hölder continuity of energy minimizer maps between riemannian polyhedra
Taoufik Bouziane
The goal of the present paper is to establish some kind of regularity of an energy minimizer map between Riemannian polyhedra. More precisely, we will show the hölder continuity of…
Brownian motion in riemannian admissible complex
Taoufik Bouziane
The purpose of this work is to construct a {\it Brownian motion} with values in simplicial complexes with piecewise differential structure. In order to state and prove the existenc…