A road to randomness in physical systems
type: Item
instance of: scholarly article
title: A road to randomness in physical systems
zbMATH Open document ID: 0748.60102
author: Eduardo M. R. A. Engel
published in: Lecture Notes in Statistics
publication date: 1992-09-18T00:00:00Z
review text: The book is based on the author's Ph. D. dissertation, and is devoted to a unifying theory of Hopf's method of arbitrary functions given by Hopf in the 1930s and forgotten in the last period. It is shown that most applications of the Hopf method follow from the fact that the fractional part of the product of a real number \(t\) and an absolutely continuous random vector \(X\) converges to a distribution uniform on the unit hypercube as \(t\to\infty\). Therefore, the author presents new results on this convergence (Chapter 3 and 4). The Hopf method with its application is studied in Chapter 5.
reviewed by: Anatolij Dvurečenskij
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 60-02
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 52844
zbMATH Keywords: weak-star convergence
zbMATH Keywords: Buffon's needle
zbMATH Keywords: Hopf method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 52844