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

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

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

Recent investigations in nonlinear sciences show that not only hyperbolic but also mixed dynamical systems may exhibit exponential relaxation in the chaotic regime. The relaxation rates, which lead the decay of probability distributions and correlation functions, are related to the classical evolution resolvent (Perron-Frobenius operator) pole logarithm, the so-called Pollicott-Ruelle resonance...

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...