… also other physical systems, it is possible to construct random maps that generate completely
unpredictable dynamics. Ulam and von Neumann [9,10] proved that the logistic map Xn+1 …

… an analytic solution of the random map model which is a limiting … Our main conclusion will
be that the random map model has … properties of this random map model in the thermodynamic …

… rate of the random map is always larger than that of the noisy map. In random maps we show
… Both the noisy- and random-map pictures appear in numerous physical systems. In fluid …

… that are attainable from random maps we allow the probabilities of selecting the maps to be
… absolutely continuous invariant measure for position dependent random maps. The pdf f ( x ) …

… two piecewise expanding maps: one is the original map, τ1, … We model this system by a
position dependent random map … reflect the switching between the maps. A typical orbit spends a …

… node can be seen as graphs of random maps. We introduce an approach to investigating
random maps and finding analytical results for attractors in random Boolean networks with the …

… for single maps and for random maps. In Section 3 we present an example of a random map
… In Section 4 we choose specific relative probabilities for the random map of Section 3 and …

… , the random dynamical systems we study are maps of the … aspects of the attractors of random
maps. In orderto obtain plots … plot the iterates under the random map. This corresponds to …

… In the present work, we discuss a PRN generator based on an inherently chaotic (random) …
logistic map that we intend to exploit for generating uniformly distributed random numbers …

… a study for random matrix ensembles, and compare with two chaotic quantum systems—the …
For a XXZ spin-chain we find significant deviations from the random matrix prediction—the …