Pointwise theorems for amenable groups
E Lindenstrauss - Electronic Research Announcements of the American …, 1999 - ams.org
In this paper we describe proofs of the pointwise ergodic theorem and Shannon-McMillan-
Breiman theorem for discrete amenable groups, along Følner sequences that obey some …
Breiman theorem for discrete amenable groups, along Følner sequences that obey some …
Pointwise theorems for amenable groups
E Lindenstrauss - Inventiones mathematicae, 2001 - Springer
In this paper we prove the pointwise ergodic theorem for general locally compact amenable
groups along Følner sequences that obey some restrictions. These restrictions are mild …
groups along Følner sequences that obey some restrictions. These restrictions are mild …
[引用][C] Subsequence ergodic theorems for amenable groups
D Ornstein, B Weiss - Israel Journal of Mathematics, 1992 - Springer
Subsequence ergodic theorems for amenable groups Page 1 ISRAEL JOURNAL OF
MATHEMATICS "f$ (1992), 113-127 SUBSEQUENCE ERGODIC THEOREMS FOR …
MATHEMATICS "f$ (1992), 113-127 SUBSEQUENCE ERGODIC THEOREMS FOR …
A Roth theorem for amenable groups
V Bergelson, R McCutcheon, Q Zhang - American Journal of …, 1997 - muse.jhu.edu
We prove the following mean ergodic theorem: for any two commuting measure preserving
actions {T g} and {S g} of a countable amenable group G on a probability space (X, A, μ), lim …
actions {T g} and {S g} of a countable amenable group G on a probability space (X, A, μ), lim …
The pointwise ergodic theorem for amenable groups
WR Emerson - American Journal of Mathematics, 1974 - JSTOR
THE POINTWISE ERGODIC THEOREM FOR AMENABLE GROUPS. 473 among other
things, that the appropriate ergodic averages always converge in norm to a G-invariant …
things, that the appropriate ergodic averages always converge in norm to a G-invariant …
An ergodic correspondence principle, invariant means and applications
V Bergelson, AF Moragues - Israel Journal of Mathematics, 2021 - Springer
A theorem due to Hindman states that if E is a subset of ℕ with d*(E)> 0, where d* denotes
the upper Banach density, then for any ε> 0 there exists N∈ ℕ such that d^ ∗ (i= 1^ N (Ei))> …
the upper Banach density, then for any ε> 0 there exists N∈ ℕ such that d^ ∗ (i= 1^ N (Ei))> …
Amenable equivalence relations and the construction of ergodic averages for group actions
L Bowen, A Nevo - Journal d'Analyse Mathématique, 2015 - Springer
We present a general new method for constructing pointwise ergodic sequences on
countable groups which is applicable to amenable as well as to non-amenable groups and …
countable groups which is applicable to amenable as well as to non-amenable groups and …
The Shannon-McMillan-Breiman theorem for a class of amenable groups
D Ornstein, B Weiss - Israel Journal of Mathematics, 1983 - Springer
The Shannon-McMillan-Breiman theorem for a class of amenable groups Page 1 ISRAEL
JOURNAL OF MATHEMATICS, Vol. 44, No. 1, 1983 THE SHANNON-McMILLAN-BREIMAN …
JOURNAL OF MATHEMATICS, Vol. 44, No. 1, 1983 THE SHANNON-McMILLAN-BREIMAN …
[引用][C] Ergodic group actions
J Rosenblatt - Archiv der Mathematik, 1986 - Springer
Let G be a countably infinite group. Let (X, fl, m) be a probability space on which G acts as a
group of measure-preserving transformations. The action of G is ergodic if whenever A~ fl …
group of measure-preserving transformations. The action of G is ergodic if whenever A~ fl …
Large symmetric sets in amenable groups and the individual ergodic theorem
WR Emerson - American Journal of Mathematics, 1974 - JSTOR
0. Introduction. Renaud [5] recently has extended the classic Mean and Individual Ergodic
Theorems to the framework of a-compact amenable locally compact unimodular groups. In …
Theorems to the framework of a-compact amenable locally compact unimodular groups. In …