.PDF versions of recent work.

Restricted Orbit Equivalence for actions of Discrete Amenable Groups

with Janet Kammeyer

Abstract, Table of Contents and Chapter 1 Introduction (355 kb)

Chapter 2 Definitions and Examples  (1.5 mb)

Chapter 3 The Ornstein-Weiss Machinery (767 kb)

Chapter 4 Copying Lemmas (1.14 mb)

Chapter 5 m-entropy (382 kb)

Chapter 6 m-Joinings (1.65 mb)

Chapter 7 The Equivalence Theorem (1.31 mb)

Appendix (1.23 mb)

Bibliography and Index (186 kb)
 

Uniform Endomorphisms which are Isomorphic to a Bernoulli Shift

with Chris Hoffman

Annals of Math, 156 (2002), 79-101

1-sided-11-13.pdf  (1 mb)
 

Entropy and mixing for amenable group actions

An Entropy preserving Dye's theorem for ergodic actions

 To appear in Journal d'Analyse Math.

 entropyisasize.pdf (270k)

Pointwise and L¹ mixing relative to a sub sigma algebra

 A dyadic endomorphism which is Bernoulli but not standard