Information theory and measure theory

This article discusses how information theory (a branch of mathematics studying the transmission, processing and storage of information) is related…

Papers overview

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2019

Recent applications of large network models to machine learning, and to neural network suggest a need for a systematic study of…

2018

This is an introduction to Measure Theory. I focus on the motivation for and the definition of Lebesgue measure on [0, 1…

2014

We illustrate a multiscale model for social dynamics of large groups. The examples we have in mind span both cases of real…

2012

We extend Armstrong’s result on exclusion in multi-dimensional screening models in two key ways, providing support for the view…

2010

We extend Armstrong’s (1996) result on exclusion in multi-dimensional screening models in two key ways, providing support for the…

2006

Integral geometry, as it is understood here, deals with the computation and application of geometric mean values with respect to…

2005

The Milnor problem on one dimensional attractors is solved for S unimodal maps with a non degenerate critical point c It provides…

Review

1996

Review

1996

Starting from the uniqueness question for mixtures of distributions this review centers around the question under which formally…

1981

1975

It is shown that continua which are arcwise connected and contain no simple closed curves have the fixed point property for…