An online session of the Algebra and Logic Seminar will be held on May 7, 2021 (Friday) at 1:00 p.m. (+3 UTC)

A talk on

will be delivered by Valentin Iliev.

Abstract. We define degree of dependence of two events A and B in a probability space by using Boltzmann-Shannon entropy function of an appropriate distribution produced by these events and depending on one parameter varying within a closed interval I. The important particular case of discrete uniform probability space motivates this definition in the following way. The entropy function has a global maximum exactly when the events A and B are independent. It has a minimum at the left endpoint of I exactly when A is a subset of B^c or B^c is a subset of A (maximal negative dependence). It has a minimum at the right endpoint of I exactly when A is a subset of B or B is a subset of A (maximal positive dependence).

 

The seminar will be held via Zoom and everyone can join at:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Topic: Онлайн семинар на секция “Алгебра и логика”
Time: May 07, 2021 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647

 

Algebra and Logic Department, IMI-BAS
http://www.math.bas.bg/algebra/seminarAiL/