First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure

被引：0

作者：

Ian Melbourne

Dalia Terhesiu

机构：

[1] University of Surrey,Department of Mathematics

[2] University of Warwick,Mathematics Institute

[3] University of Rome Tor Vergata,undefined

来源：

Israel Journal of Mathematics | 2013年 / 194卷

关键词：

Tauberian Theorem; Order Asymptotics; High Order Expansion; Continuous Invariant Measure; Renewal Sequence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We generalize the proof of Karamata’s Theorem by the method of approximation by polynomials to the operator case. As a consequence, we offer a simple proof of uniform dual ergodicity for a very large class of dynamical systems with infinite measure, and we obtain bounds on the convergence rate.

引用

页码：793 / 830

页数：37

共 50 条

[21] How to prove higher order theorems in first order logic
1600, Morgan Kaufmann Publ Inc, San Mateo, CA, USA (01):
[22] Higher order constrained dynamical systems
INRIA, Team-project BIPOP Inovallée, 655 avenue de l'Europe Montbonnot, 38334 Saint-Ismier, France
Lect. Notes Appl. Comput. Mech., 2008, (177-188):
[23] ERGODIC PROPERTIES, WITH INFINITE MEASURE, OF CERTAIN FIBERED DYNAMIC-SYSTEMS
GUIVARCH, Y
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1989, 9 : 433 - 453
[24] Higher order ergodic Markov chains and first passage times
Han, Lixing
Wang, Kelun
Xu, Jianhong
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21): : 6772 - 6779
[25] Uniform exponential attractors for first order non-autonomous lattice dynamical systems
Abdallah, Ahmed Y.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) : 1489 - 1504
[26] UNIFORM GLOBAL ATTRACTORS FOR FIRST ORDER NON-AUTONOMOUS LATTICE DYNAMICAL SYSTEMS
Abdallah, Ahmed Y.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3219 - 3228
[27] Uniform asymptotic stability of infinite dimensional hybrid dynamical systems
Wang, LJ
Liu, XZ
Shen, XM
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 2 : 837 - 842
[28] Small gain theorems for infinite networks of discontinuous dynamical systems and applications
Pavlichkov, Svyatoslav
Bajcinca, Naim
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 5645 - 5651
[29] Random Dynamical Systems of the First Order
Walczak, J.
Mazurkiewicz, S.
ANALYSIS AND SIMULATION OF ELECTRICAL AND COMPUTER SYSTEMS, 2015, 324 : 329 - 335
[30] A Relative, Strictly Ergodic Model Theorem for Infinite Measure-Preserving Systems
Yuasa, Hisatoshi
JOURNAL D ANALYSE MATHEMATIQUE, 2020, 140 (02): : 591 - 616

← 1 2 3 4 5 →