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Matrix logistic map: fractal spectral distributions and transfer of chaos
Łukasz Pawela, Karol Życzkowski
The standard logistic map, , serves as a paradigmatic model to demonstrate how apparently simple non-linear equations lead to complex and chaotic dynamics. In this work…
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…
Experimental simulation of quantum graphs by microwave networks
Oleh Hul, Szymon Bauch, Prot Pakonski +3
We present the results of experimental and theoretical study of irregular, tetrahedral microwave networks consisting of coaxial cables (annular waveguides) connected by T-joints. T…
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…
Euroattractor: a brief introduction to Iterated Function Systems
Karol Zyczkowski, Artur Lozinski
In this work we propose a definition of an Euroattractor: an attracting invariant measure of a certain iterated functions system (IFS). An IFS is defined by specifying a set of fun…
Random unistochastic matrices
K. Zyczkowski, W. Slomczynski, M. Kus +1
An ensemble of random unistochastic (orthostochastic) matrices is defined by taking squared moduli of elements of random unitary (orthogonal) matrices distributed according to the…