✦ LIBER ✦

Factors of Bernoulli shifts are Bernoulli shifts

✍ Scribed by Donald Ornstein

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 809 KB
Volume: 5
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(70)90009-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Bernoulli shifts induce Bernoulli shifts

✍ N.A Friedman 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 468 KB

Bernoulli shift is an invertible measure preserving transformation on the unit interval with Lebesgue measure that admits an independent generator, i.e., there exists a partition of the unit interval into a finite or countable number of disjoint sets of positive measure such that distinct iterates u

β-automorphisms are Bernoulli shifts

✍ M. Smorodinsky 📂 Article 📅 1973 🏛 Akadmiai Kiad 🌐 English ⚖ 253 KB

Mixing Markov shifts of kernel type are

Mixing Markov shifts of kernel type are Bernoulli

✍ D.S Ornstein; P.C Shields 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 130 KB

Two Bernoulli shifts with infinite entro

Two Bernoulli shifts with infinite entropy are isomorphic

✍ Donald Ornstein 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 456 KB

We define a generalized Bernoulli shift as follows: Let Y be a measure space of total measure 1 consisting of a part (possibly empty) that is isomorphic to an interval and a part (possibly empty) consisting of a finite or countable number of atoms. Let X = n\_", Yi be the product of a countable numb

Bernoulli shifts with the same entropy a

Bernoulli shifts with the same entropy are isomorphic

✍ Donald Ornstein 📂 Article 📅 1970 🏛 Elsevier Science 🌐 English ⚖ 874 KB

Restricted Non-Commutative Bernoulli Shi

Restricted Non-Commutative Bernoulli Shifts

✍ Uwe Quasthoff 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 540 KB

Constructing non-commutative BERNOULLI shifts one starts with a measure theoretic BERNOULLI shift and an equivalence relation on the measure space. There is a doubly infinite increasing sequence of memure preserving ergodic equivalenoe relations giving an increasing sequence of pairwise isomorphic V