Stochastic stability of Pollicott–Ruelle resonances
Stochastic stability of Pollicott–Ruelle resonances
复制标题
Pollicott-Ruelle 共振的随机稳定性
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
M. Zworski
中科院分区：
文献类型：
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作者：
S. Dyatlov;M. Zworski
混沌流的Pollicott-Ruelle共振是关联的特征频率。它们通常被定义为作用在专门设计的函数空间上的流的生成元的特征值。我们表明，这些共振可以计算为粘性极限的特征值的二阶椭圆算子。这些特征值是随机扰动流相关的特征频率。
Pollicott–Ruelle resonances for chaotic flows are the characteristic frequencies of correlations. They are typically defined as eigenvalues of the generator of the flow acting on specially designed functional spaces. We show that these resonances can be computed as viscosity limits of eigenvalues of second order elliptic operators. These eigenvalues are the characteristic frequencies of correlations for a stochastically perturbed flow.