Extremal measures and clockwise overlays

Extremal Length of Vector Measures

We define the extremal length of vector measures. We show the reciprocal relation between extremal distance and extremal width of vector measures.

Stability of N-extremal Measures

A positive Borel measure μ on R, which possesses all power moments, is N-extremal if the space of all polynomials is dense in L2(μ). If, in addition, μ generates an indeterminate Hamburger moment problem, then it is discrete. It is known that the class of N-extremal measures that generate an indeterminate moment problem is preserved when a finite number of mass points are moved (not “removed”!)...

On Extremal Measures for Conservative Particle Systems

– It is well known that the exclusion, zero-range and misanthrope particle systems possess families of invariant measures due to the mass conservation property. Although these families have been classified a great deal, a full characterization of their extreme points is not available. In this article, we consider an approach to the study of this classification. One of the results in this note i...

Certainty Equivalents and Information Measures: Duality and Extremal Principles

Given a convex function φ : IR+ → IR, the Csiszár φdivergence (Csiszár (1978)) is a function Iφ : IR+×IR n + → IR, Iφ(p,q) := n ∑

Clockwise and Anti-clockwise Directions of Customer Orientation in a Supermarket: Evidence from RFID Data