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Truncations of random unitary matrices
Karol Zyczkowski, Hans-Juergen Sommers
We analyze properties of non-hermitian matrices of size M constructed as square submatrices of unitary (orthogonal) random matrices of size N>M, distributed according to the Haar m…
Invariant sets for discontinuous parabolic area-preserving torus maps
Peter Ashwin, Xin-Chu Fu, Takashi Nishikawa +1
We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each compo…
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…
Linear Parabolic Maps on the Torus
Karol Zyczkowski, Takashi Nishikawa
We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero,…
Analog to Digital Conversion in Physical Measurements
T. Kapitaniak, K. Zyczkowski, U. Feudel +1
There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such c…
On the entropy devil's staircase in a family of gap-tent maps
Karol Zyczkowski, Erik M. Bollt
We analyze dynamical properties of a "gap-tent map" - a family of 1D maps with a symmetric gap, which mimics the presence of noise in physical realizations of chaotic systems. We d…