A measure describing the chaos of a dynamics was introduced by two complexities in information dynamics, and it is called the chaos degree. In particular, the entropic chaos degree has been used to characterized several dynamical maps such that logistis, Baker’s, Tinckerbel’s in classical or quantum systems. In this paper, we give a new treatment of quantum chaos by defining the entropic chaos ...

We construct a measure on the thick points of Brownian loop soup in bounded domain D $D$ plane with given intensity θ > 0 $\theta >0$ , which is formally obtained by exponentiating square root its occupation field. The constructed via regularisation procedure, loops are killed at fix rate, allowing us to make use multiplicative chaos measures previously considered Aïdékon et al. (Ann. Probab. 4...

The aim of this paper is to investigate the existence of Parrondo’s paradox for the logistic family fa(x) = ax(1−x), x ∈ [0, 1], when the parameter value a ranges over the interval [1, 4]. We find that a paradox of type “order + order = chaos” arises for both physically observable and topological chaos, while a “chaos + chaos = order” paradox can be only detected for the case of physically obse...

This paper studies the performance of selected chaos-based communication systems whose spectrum overlaps with that of conventional narrowband systems. Such a scenario may occur in normal practice when chaos-based systems are introduced while the conventional systems are still in operation. The particular chaos-based systems under study are the coherent chaos-shift-keying (CSK) system and the no...

Likelihood-based Imprecise Regression (LIR) is a recently introduced approach to regression with imprecise data. Here we consider a robust regression method derived from the general LIR approach and we establish an exact algorithm to determine the set-valued result of the LIR analysis in the special case of simple linear regression with interval data.

sciences exist to demonstrate the fundamental order underlying nature. chaos/complexity theory is a novel and amazing field of scientific inquiry. notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (retrieved from http://www.inc...

The security of chaos communication system is superior to other digital communication system, because it has characteristics such as non-periodic, wide-band, nonpredictability, easy implementation and sensitive initial condition. Chaos sequences are non – periodic sequences which are sensitive to their initial conditions i.e. spread factor and time delay respectively. If many antennas are appli...

This paper addresses the maintenance of discovered frequent patterns when a batch of transactions are removed from the original dataset. We conduct an in-depth investigation on how the frequent pattern space evolves under transaction removal updates using the concept of equivalence classes. Inspired by the evolution analysis, an effective and exact algorithm TRUM is proposed to maintain frequen...

The Need to Utilize Chaos Management Techniques in Elementary School Preparedness Assessment Program   M. H. Hassani Shalmaani, Ph.D.*   One of the most important programs in the Ministry of Education is the health and academic preparedness assessment program. It is assumed that any assessment program is so dynamic and unpredictable that makes systematic planning impossible. Thi...

In this article, we construct a Stratonovich solution for the stochastic wave equation in spatial dimension $$d \le 2$$ , with time-independent noise and linear term $$\sigma (u)=u$$ multiplying noise. The is spatially homogeneous its spectral measure satisfies an integrability condition which stronger than Dalang’s condition. We give probabilistic representation solution, similar to Feynman–Ka...