On the Ergodic Theorem for Affine Actions on Hilbert Space

被引：1

作者：

Chifan, Ionut ^{[1
,2
]}

Sinclair, Thomas ^{[3
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] IMAR, Bucharest, Romania

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2015年 / 22卷 / 03期

基金：

美国国家科学基金会;

关键词：

affine action; mean ergodic theorem; groups of polynomial growth; POLYNOMIAL-GROWTH; RANDOM-WALKS; COHOMOLOGY;

D O I：

10.36045/bbms/1442364590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The note establishes a new weak mean ergodic theorem (Theorem A) for 1-cocycles associated to weakly mixing representations of amenable groups.

引用

页码：429 / 446

页数：18

共 50 条

[41] STOCHASTIC HOMOGENIZATION WITH SPACE-TIME ERGODIC DIVERGENCE-FREE DRIFT [J].

Fehrman, Benjamin .

ANNALS OF PROBABILITY, 2024, 52 (01) :350-380

[42] A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures [J].

Morris, Ian D. ;

Sert, Cagri .

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2023, 25 (11) :4315-4367

[43] Unbounded Hermitian operators and relative reproducing kernel Hilbert space [J].

Jorgensen, Palle E. T. .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (03) :569-596

[44] A Generalized Version of the Abelian Mean Ergodic Theorem with Rates for Semigroup Operators and Fractional Powers of Infinitesimal Generators [J].

Westphal U. .

Results in Mathematics, 1998, 34 (3-4) :381-394

[45] On the classifying space for proper actions of groups with cyclic torsion [J].

Antolin, Yago ;

Flores, Ramon .

FORUM MATHEMATICUM, 2014, 26 (01) :271-294

[46] Hilbert schemes of points on smooth projective surfaces and generalized Kummer varieties with finite group actions [J].

Zhan, Sailun .

ARKIV FOR MATEMATIK, 2023, 61 (02) :475-493

[47] Dirichlet Problem for Poisson Equation on the Rectangle in Infinite Dimensional Hilbert Space [J].

Busovikov, V. M. ;

Sakbaev, V. Zh .

APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2020, 5 (02) :329-344

[48] New Hilbert Space Tools for Analysis of Graph Laplacians and Markov Processes [J].

Bezuglyi, Sergey ;

Jorgensen, Palle E. T. .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)

[49] HILBERT SPACE COMPRESSION UNDER DIRECT LIMITS AND CERTAIN GROUP EXTENSIONS [J].

Dreesen, Dennis .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (02) :421-436

[50] The closed state space of affine Landau-Ginzburg B-models [J].

Segal, Ed .

JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2013, 7 (03) :857-883

← 1 2 3 4 5 →