Ergodic theorems and the basis of science
type: Item
instance of: scholarly article
title: Ergodic theorems and the basis of science
zbMATH Open document ID: 0942.28014
DOI: 10.1007/BF00413496
published in: Synthese
publication date: 2000-08-21T00:00:00Z
review text: The author discusses the effects of random errors and time measurement anomalies on the major ergodic theorems. In some sense the structural stability of ergodic theorems is being investigated. The author gives a very readable overview of the current debates on the matter and neatly summarizes some of the problems in the final chapter.
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 01A60
zbMATH DE Number: 1322765
zbMATH Keywords: random errors
zbMATH Keywords: time measurement anomalies
zbMATH Keywords: ergodic theorems
author: Karl Petersen
MaRDI profile type: Publication
cites work: The strong sweeping out property for lacunary sequences, Riemann sums, convolution powers, and related matters
cites work: Divergence of Averages Obtained by Sampling a Flow
cites work: Some results on nonlinear recurrence
cites work: What is the Ergodic Theorem?
cites work: Q5839896
cites work: Convergence of ergodic averages on lattice random walks
cites work: Q3314114
cites work: The Spectral Measure and Hilbert Transform of a Measure-Preserving Transformation
cites work: Convergence and divergence of ergodic averages
cites work: Random ergodic theorems with universally representative sequences
cites work: How sampling reveals a process
cites work: Q4866185
cites work: Physical Applications of the Ergodic Hypothesis
cites work: Q5847989
cites work: Dynamical Systems of Continuous Spectra
cites work: Algorithmic complexity of points in dynamical systems
cites work: Harmonic Analysis and Ergodic Theory
cites work: The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959
description: scientific article; zbMATH DE number 1322765