Basis Markov Partitions and Transition Matrices for Stochastic Systems (2006)
Bollt, Erik, Gora, Pawel, Ostruszka, Andrzej, Zyczkowski, Karol
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 a Markov partition...
Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances (2003)
Ostruszka, Andrzej, Manderfeld, Christopher, Zyczkowski, Karol, Haake, Fritz
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...
Dynamical entropy for systems with stochastic perturbation (1999)
Ostruszka, Andrzej, Pakonski, Prot, Slomczynski, Wojciech, Zyczkowski, Karol
Dynamics of deterministic systems perturbed by random additive noise is characterized quantitatively. Since for such systems the KS-entropy diverges we analyse the difference between the total...
Quantum baker map on the sphere (1998)
Pakonski, Prot, Ostruszka, Andrzej, Zyczkowski, Karol
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 and investigate a...