Covering both classical and quantum approaches, this book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operat

Following an idea of Ornstein and Sucheston, Foguel proved the so-called uniform “zero-two” law: let T : L1 (X, F, µ) → L1 (X, F, µ) be a positive contraction. If for some m ∈ N∪{0} one has kT m+1−T mk < 2, then lim n→∞ kT n+1 − T nk = 0. There are many papers devoted to generalizations of this law. In the present paper we p

The study is to assess the female user perception of women only coach of KTM Komuter in Klang Valley area

It is known that the Dobrushin’s ergodicity coefficient is one of the effective tools to study the behavior of non-homogeneous Markov chains. In the present paper, we define such an ergodicity coefficient of a positive mapping defined on ordered Banach spaces with a base (OBSB), and study its properties. In terms of this coefficient we prove the

In this paper, we continue an investigation of the p-adic Ising– Vannimenus model on the Cayley tree of an arbitrary order k (k > 2). We prove the existence of p-adic quasi Gibbs measures by analyzing fixed points of multidimensional p-adic system of equations. We are also able to show the uniqueness of translation-invariant p-adic Gibbs meas

In this present paper, it is proposed the renormalization techniques in the investigation of phase transition phenomena in p-adic statistical mechanics. We mainly study p-adic $\l$-model on the Cayley tree of order two. We consider generalized p-adic quasi Gibbs measures depending on parameter $\r\in\bq_p$, for the $\l$-model. Such measures are con

In the present paper we introduce a new notion of order called b-order. Then we define a bistochasticity quadratic stochastic operator (q.s.o.) with respect to the b-order, and call it a b-bistochastic q.s.o. We include several properties of the b-bistochastic q.s.o. and descriptions of all b-bistochastic q.s.o. defined on a two dimensional simplex

Introduction: The use of Internet pornography has become prevalent in recent years, particularly for the younger generation. However, the task of assessing this usage has been difficult, particularly among religious populations. As Malaysians are considered religious following most people’s belongingness to some religious faiths, this study there

This study examined the land use changes in Langkawi Island for over 12 years. Land use maps were derived by analysing temporally available satellite imageries of that area. Subsequent Landsat imageries of the years 2006, 2014 and 2018 were processed in Environment for Visualising Images (ENVI) software using Normalize Differences Built-Up Index (N

بَدَأتِ الجامعةُ الإسلاميةُ العالميةُ في ماليزيا عامَ 2003 اسْتِخْدامَ مِنَصَّةِ Learning Management System مِنْ إنتاجِ شركةِ Mitechsoft، وقد طُوِّرتْ هذه المِنصَّةُ التعليميةُ الإلكترونيةُ مرَّاتٍ عِدَّةً؛