Ergodic automorphisms of the infinite torus are bernoulli

Douglas Lind

Type: Article

Publication Date: 1974-12-01

Citations: 30

DOI: https://doi.org/10.1007/bf02882235

View Publication

Locations

Israel Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Ergodic automorphisms ofT n are Bernoulli shifts	1971	Yitzhak Katzenlson
+	A simple proof of the bernoullicity of ergodic automorphisms on compact abelian groups	1981	Nobuo Aoki
+	Automorphisms of bernoulli systems	1986	Philip Feinsilver
+ PDF Chat	Ergodicity and type of nonsingular Bernoulli actions	2020	Michael Björklund Zemer Kosloff Stefaan Vaes
+	Ergodic Automorphisms	1970	Louis Auslander
+	Ergodic Automorphisms	1970	Louis Auslander
+	Hyperbolic automorphisms of tori and pseudo-random sequences	1992	Mario Abundo Luigi Accardi A. Auricchio
+	Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus	1992	N. Chernov
+ PDF Chat	Ergodic Subequivalence Relations Induced by a Bernoulli Action	2010	Ionuţ Chifan Adrian Ioana
+	Ergodic group automorphisms are exponentially recurrent	1982	D. A. Lind
+	Ergodic automorphisms with simple spectrum and rapidly decreasing correlations	2013	A. A. Prikhod’ko
+ PDF Chat	Automorphisms of ergodic groupoids and semidirect products	1990	V. Ya. Golodets S. Sinel’shchikov
+	Automorphisms of the torus	1976	Manfred Denker Christian Grillenberger Karl Sigmund
+	A model for ergodic automorphisms on groups	1972	James R. Brown
+ PDF Chat	Compact ergodic groups of automorphisms	1982	Magnus B. Landstad
+	β-automorphisms are Bernoulli shifts	1973	Meir Smorodinsky
+	Gaussian automorphisms whose ergodic self-joinings are Gaussian	2000	Mariusz Lemańczyk François Parreau J Thouvenot
+	Ergodic Automorphisms of Compact Groups	1975	D. A. Lind
+	Bernoullicity of solenoidal automorphisms and global fields	1994	Douglas Lind Klaus Schmidt
+	Bernoulli actions of sofic groups have completely positive entropy	2014	David Kerr

Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	The bernoulli property for expansive ℤ2 actions on compact groups	1992	Thomas Ward
+	Bernoullicity of solenoidal automorphisms and global fields	1994	Douglas Lind Klaus Schmidt
+	Recent Trends in Ergodic Theory and Dynamical Systems	2015	Richard Miles Matthew Staines Thomas Ward
+ PDF Chat	Harmonic models and Bernoullicity	2021	Ben Hayes
+ PDF Chat	Algebraic $\mathbb {Z}^d$-actions of entropy rank one	2004	Manfred Einsiedler Douglas Lind
+	Harmonic Models and Bernoullicity	2019	Ben Hayes
+ PDF Chat	Mahler measure and entropy for commuting automorphisms of compact groups	1990	Douglas Lind Klaus Schmidt Thomas Ward
+	Nonuniformly hyperbolic K-systems are Bernoulli	1996	N. Chernov Cymra Haskell
+	Newton’s Laws and Coin Tossing	2013	Donald Ornstein
+	SYMBOLIC AND ALGEBRAIC DYNAMICAL SYSTEMS	2000	Douglas Lind Klaus Schmidt

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Entropy for group endomorphisms and homogeneous spaces	1971	Rufus Bowen
+	Convolution of invariant measures, maximal entropy	1969	Kenneth R. Berg
+	Algebraic integers whose conjugates lie in the unit circle	1944	Carl Ludwig Siegel
+ PDF Chat	Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.	1857	Léopold Kronecker
+	Factors of Bernoulli shifts are Bernoulli shifts	1970	Donald Ornstein
+	Ergodic automorphisms ofT n are Bernoulli shifts	1971	Yitzhak Katzenlson
+	Two Bernoulli shifts with infinite entropy are isomorphic	1970	Donald Ornstein
+ PDF Chat	On automorphisms of compact groups	1943	Paul R. Halmos
+ PDF Chat	Algebraic integers near the unit circle	1971	P. Blanksby H. Montgomery