P
Peter Walters
Researcher at University of Warwick
Publications - 10
Citations - 4027
Peter Walters is an academic researcher from University of Warwick. The author has contributed to research in topics: Ergodic theory & Topological entropy. The author has an hindex of 7, co-authored 10 publications receiving 3988 citations.
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Book
An Introduction to Ergodic Theory
TL;DR: The first part of the text as discussed by the authors provides an introduction to ergodic theory suitable for readers knowing basic measure theory, including recurrence properties, mixing properties, the Birkhoff Ergodic theorem, isomorphism, and entropy theory.
Book
Ergodic theory: Introductory lectures
TL;DR: In this paper, the authors propose a measure-preserving transformation with pure point spectrum and topological entropy, and show that it is invariant to spectral invariants and isomorphism.
Journal ArticleDOI
Endomorphisms of a Lebesgue space
William Parry,Peter Walters +1 more
TL;DR: In this paper, the classification of transformations which are not necessarily invertible (endomorphisms) has been studied and a coding which does not anticipate the future is required. But no proofs are given in this paper.
Book ChapterDOI
Unique ergodicity and random matrix products
TL;DR: In this article, the authors investigate the question: if T:X → X is a uniquely ergodic homeomorphism of a compact metrizable space, and B: X → GL(k,R) is a continuous map of X into the space of invertible, k × k, real matrices does it converge uniformly to a constant?