Unique Ergodicity for Infinite Measures

机译：无限措施的独特遍历

获取原文

页面导航

摘要
著录项
相似文献
相关主题

摘要

We survey examples of dynamical systems on non --compact compact spaces which exhibitmeasure rigidity on the level of infinite invariant measures in one or more ofthe following ways: all locally finite ergodic invariant measures can be described;exactly one (up to scaling) admits a generalized law of large numbers; the genericpoints can be specified. The examples are horocycle flows on hyperbolic surfacesof infinite genus, and certain skew products over irrational rotations and adictransformations. In all cases, the locally finite ergodic invariant measures areMaharani measures.

机译：我们调查了在以下方式中的无限不变措施水平的非算法上的动态系统的示例：可以描述所有局部有限的遍历不变措施;恰好（最多缩放）承认大数的广义法律;可以指定通用点。这些例子是在无限属中的双曲线表面上流动的竖起周期，以及通过非理性旋转和adicTransfrations的某些偏斜产品。在所有情况下，局部有限的ergodic不变措施aremaharani措施。

著录项

来源
《International Congress of Mathematicians》|2010年||共27页
会议地点
作者
Omri M. Sarig;
展开▼
作者单位

展开▼
会议组织
原文格式 PDF
正文语种
中图分类 O1-532;
关键词
Unique ergodicity; Infinite ergodic theory; Horocycle flows; Infinite genus;

机译：独特的ergodicity;无限的ergodic理论;orcycle流动;无限属;

相似文献

外文文献
中文文献
专利

1. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. II. Convergence of infinite determinantal measures [J] . Bufetov A. I. Izvestiya. Mathematics . 2016,第2期

机译：无限的行列式度量和无限的Pickrell度量的遍历分解。二。无限行列式度量的收敛
2. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. I. Construction of infinite determinantal measures [J] . Bufetov A. I. Izvestiya. Mathematics . 2015,第6期

机译：无限的行列式度量和无限的Pickrell度量的遍历分解。 I.无限确定性措施的构建
3. Infinite symmetric ergodic index and related examples in infinite measure [J] . Loh Isaac, Silva Cesar E., Athiwaratkun Ben Studia mathematica . 2018,第1期

机译：无限措施中无限对称的ergodic指标和相关例子
4. Unique Ergodicity for Infinite Measures [C] . Omri M. Sarig International Congress of Mathematicians . 2010

机译：无限措施的独特遍历
5. Quantum Unique Ergodicity of Degenerate Eisenstein Series on GL(n) [D] . Zhang, Liyang. 2017

机译：Quantum独特的eisenstein系列GL（n）
6. Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure [O] . T. E. Harris, Herbert Robbins 1953

机译：允许无限不变测度的马尔可夫链的遍历理论
7. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III. The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures [O] . Bufetov, Alexander I. 2016

机译：无限的行列式度量和无限的Pickrell度量的遍历分解。三，无限Bessel过程是无限Pickrell测度的有限维投影径向部分的极限

Unique Ergodicity for Infinite Measures

摘要

著录项

相似文献

相关主题

期刊订阅