19 citations · 42 across the 5 of their papers we have counts for
3 papers · 1 filter
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…