Leading Pollicott-Ruelle resonances for chaotic area-preserving maps.

Quantization of Classical Maps with tailormade Ruelle-Pollicott Resonances

We investigate the correspondence between the decay of correlation in classical system, governed by Ruelle–Pollicott resonances, and the properties of the corresponding quantum system. For this purpose we construct classical systems with controllable resonances together with their quantum counterpart. As an application of such tailormade resonances we reveal the role of Ruelle–Pollicott resonan...

Quantization of classical maps with tunable Ruelle-Pollicott resonances.

We investigate the correspondence between the decay of correlation in classical systems, governed by Ruelle-Pollicott resonances, and the properties of the corresponding quantum systems. For this purpose we construct classical dynamics with controllable resonances together with their quantum counterparts. As an application of such tunable resonances we reveal the role of Ruelle-Pollicott resona...

Stochastic Stability of Pollicott–ruelle Resonances

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 correla...

Parametric dependence of the Pollicott-Ruelle resonances for sawtooth maps.

The Pollicott-Ruelle resonances for the sawtooth map are investigated. We turn our attention to the parametric dependence of them with respect to the bifurcation parameter K. It is numerically shown that the resonances move in an erratic way if the bifurcation parameter K is supposed to be time. At certain rational values of K, it is observed that some resonances shrink to z=0. In particular, a...

Title Parametric dependence of the Pollicott-Ruelle resonances for sawtooth maps