On the number of extreme measures with fixed marginals
M.G. Nadkarni, K. Gowri Navada
TL;DR
This paper improves the upper bound on the number of extreme points in the convex set of G-invariant probability measures with fixed marginals, advancing understanding of measure structure under group invariance.
Contribution
It provides a tighter upper bound on the number of extreme measures with fixed marginals in the context of G-invariant probability measures.
Findings
Improved upper bound compared to previous results
Enhanced understanding of the structure of G-invariant measures
Refined mathematical characterization of extreme points
Abstract
In this paper we give an improved upper bound, as compared to the one given in [3] for the number of extreme points of the convex set of all G-invariant probability measures on X*Y with given marginals of full support.
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Taxonomy
TopicsPoint processes and geometric inequalities · Analytic Number Theory Research · Mathematical Dynamics and Fractals