Work

Medians and means in Finsler geometry

Year: 2012

Type: article

Abstract: We investigate existence and uniqueness of p-means ep and the median e1 of a probability measure μ on a Finsler manifold, in relation with the convexity of the support of μ. We prove that ep is the limit point of a continuous time gradient flow. Under some additional condition which is always satisfied for p≥2, a discretization of this path converges to ep. This provides an algorithm for determining the Finsler center points.

Source: LMS Journal of Computation and Mathematics

DOI: 10.1112/s1461157010000513

Authors: Marc Arnaudon, Frank Nielsen

Institutions: Centre National de la Recherche Scientifique, Université de Poitiers, Laboratoire de Mathématiques et Applications, École Polytechnique, Sony Computer Science Laboratories, Laboratoire d'Informatique de l'École Polytechnique

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W1989659495

FWCI: 2.667

Cites: 40

Cited by: 11

Related to: 10