19 citations · 42 across the 5 of their papers we have counts for
5 papers
Basis Markov Partitions and Transition Matrices for Stochastic Systems
Erik Bollt, Pawel Gora, Andrzej Ostruszka +1
We analyze dynamical systems subjected to an additive noise and their deterministic limit. In this work, we will introduce a notion by which a stochastic system has something like…
Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances
Andrzej Ostruszka, Christopher Manderfeld, Karol Zyczkowski +1
We investigate the correspondence between the decay of correlation in classical system, governed by Ruelle--Pollicott resonances, and the properties of the corresponding quantum sy…
Spectrum of the Frobenius-Perron operator for systems with stochastic perturbation
A. Ostruszka, K. Zyczkowski
We analyze the problem of evolution in a system with stochastic perturbation and point out that analytic properties of the noise present in the system might determine spectral prop…
Dynamical entropy for systems with stochastic perturbation
Andrzej Ostruszka, Prot Pakonski, Wojciech Slomczynski +1
Dynamics of deterministic systems perturbed by random additive noise is characterized quantitatively. Since for such systems the KS-entropy diverges we analyse the difference betwe…
Quantum baker map on the sphere
Prot Pakonski, Andrzej Ostruszka, Karol Zyczkowski
We define a class of dynamical systems on the sphere analogous to the baker map on the torus. The classical maps are characterized by dynamical entropy equal to ln 2. We construct…