# Coherent Distributions on the Square

- Speaker(s)
**Stanisław Cichomski**- Affiliation
- Uniwersytet Warszawski
- Date
- March 9, 2023, 12:15 p.m.
- Information about the event
- 5820 (please note the change of room)
- Seminar
- Seminar of Probability Group

Let C denote the family of coherent distributions on [0,1]^2, i.e. all those probability measures m for which there exists a random

vector (X,Y)~m such that X=P(E|G), Y=P(E|H) a.s. for some event E and sigma fields G,H. During the talk, we will:

1) examine the set of extreme points of C and provide its general characterisation;

2) derive several structural properties of extremal coherent measures with finite support,

3) using 1) and 2), analyse the behaviour of sup_C E|X-Y|^N, for N going to infinity.