Invariant or quasi-invariant probability measures for infinite dimensional groups Part I: Non-ergodicity of Euler hydrodynamic

Paul Malliavin

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Invariant or quasi-invariant probability measures for infinite dimensional groups Part I: Non-ergodicity of Euler hydrodynamic

机译：无限维组的不变或准不变概率测度第一部分：欧拉流体力学的非遍历性

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Deterministic Euler flow on a torus cannot leave invariant any probability measure. To the Japanese Mathematical Community, with my admiration and my warmest friendship.

机译：圆环上的确定性欧拉流不能留下不变的任何概率测度。以我的钦佩和最热烈的友谊对日本数学界表示敬意。

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《Japanese Journal of Mathematics》 |2008年第1期|p.1-17|共17页
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Paul Malliavin;
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1. Invariant or quasi-invariant probability measures for infinite dimensional groups Part II: Unitarizing measures or Berezinian measures [J] . Paul Malliavin Japanese Journal of Mathematics . 2008,第1期

机译：无穷维组的不变或准不变概率测度第二部分：统一测度或贝雷津测度
2. Invariant and quasi-invariant measures on infinite-dimensional spaces [J] . Kozlov V. V., Smolyanov O. G. Doklady. Mathematics . 2015,第3期

机译：无限维空间上的不变和拟不变测度
3. Kolmogorov's Example (A Survey of Actions of Infinite-Dimensional Groups with an Invariant Probability Measure) [J] . A. M. Vershik Theory of probability and its applications . 2004,第2期

机译：柯尔莫哥洛夫（Kolmogorov）的例子（具有不变概率测度的无限维群的作用调查）
4. Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures [C] . Nigel J. Newton International conference on geometric science of information . 2013

机译：有限熵测度的无穷维流形
5. Commensurated Subgroups and the Dynamics of Group Actions on Quasi-Invariant Measure Spaces [D] . Creutz, Darren Andrew. 2011

机译：相称子群与准不变测度空间上群动作的动力学
6. Isotropic probability measures in infinite-dimensional spaces [O] . 1988

机译：无限维空间中的各向同性概率测度
7. Some results on quasi-invariant measures on infinite-dimensional spaces [O] . Hiroaki Shimomura 1981

机译：关于无限维空间的准不变措施的结果
8. Global Flows with Invariant (Gibbs) Measures for Euler and Navier-Stokes Two-Dimensional Fluids [R] . Albeverio, S., Cruzeiro, A. 1988

机译：Euler和Navier-stokes二维流体的不变量（Gibbs）测量的全局流动

Invariant or quasi-invariant probability measures for infinite dimensional groups Part I: Non-ergodicity of Euler hydrodynamic

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