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Medians and means in Finsler geometry
Published online by Cambridge University Press: 01 February 2012
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.
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- Research Article
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- Copyright © London Mathematical Society 2012
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