Name: Ergodic Theorems and Related Problems
SKU: 51851804
Price: 163.82 EUR
Availability: InStock
Author: V M Shurenkov

portada Ergodic Theorems and Related Problems

Type

Physical Book

Publisher

De Gruyter

Author

V M Shurenkov

Year

1998

Language

English

Pages

103

Format

Hardcover

ISBN13

9783110460735

Edition No.

2018

Synopsis "Ergodic Theorems and Related Problems "

In the theory of random processes the term 'ergodicity' has a wide variety of meanings. In the theory of stationary processes ergodicity is often identified with metric transitivity. In the theory of Markov processes, the word ergodic is applied to theorems of both the existence of transition probability limits and on the convergence of mean value ratios of these transition probabilities. In addition, there are also 'ergodic theorems' on the convergence of distributions of shifted random processes. In this monograph, the term 'ergodic' is understood in its original sense, i.e. the one it had when it was first adopted by the theory of random processes from statistical mechanics and Boltzmann's theory of gases. In this book, an ergodic theorem refers to any statement about the existence of a mean value with respect to trajectories of a random process taken with respect to time. The author takes the view that problems of the existence of time means, and their equality to phase means, are interesting without any assumptions about the distribution of the random process.