KM Portal

On non-Archimedean Recurrence Equations and their Applications
Research Output | Dar Al-hikmah Library | IIUM Only

In the present paper we study stability of recurrence equations (which in particular case contain dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study

Bringing Order in Segments for a Robust Network in Mobile Services
Research Output | Dar Al-hikmah Library | IIUM Only

Common overlay network arranges nodes in a particular topology such as a ring, a tree or a hyper-tree on top of its’ physical network and takes advantage of its structure to improve network efficiency. The structured overlay network may provide efficient routing but the constructed structured network may not consider physical proximity in the phy

Weighted Ergodic Theorem for Contractions of orlicz-Kantorovich Lattice L_m(N,m)
Research Output | Dar Al-hikmah Library | IIUM Only

In the present paper we prove a Besicovich weighted ergodic theorem for positive contractions acting on Orlich-Kantorovich space. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.123 Bulletin of the Malaysian Mathematical Sciences Society ISSN 0126-6705 Volume 38 Number 1 Bull. Malays. Math. Sci. Soc. (2015)

Quantum Quadratic Operators and Processes
Research Output | Dar Al-hikmah Library | IIUM Only

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

On a multi-Parametric Generalization of the Uniform zero-Two Law in L1-spaces
Research Output | Dar Al-hikmah Library | IIUM Only

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

A Study of the Females' User Perception of Women Only Coach Case Study of Ktm Komuter
Research Output | Dar Al-hikmah Library | IIUM Only

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

Ergodic Properties of Nonhomogeneous Markov Chains Defined on Ordered Banach Spaces with a Base
Research Output | Dar Al-hikmah Library | IIUM Only

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

On p-Adic Ising–vannimenus Model on an Arbitrary Order Cayley Tree
Research Output | Dar Al-hikmah Library | IIUM Only

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

Renormalization Method in p-Adic λ-model on the Cayley Tree
Research Output | Dar Al-hikmah Library | IIUM Only

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

On b-Bistochastic Quadratic Stochastic Operators
Research Output | Dar Al-hikmah Library | IIUM Only

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

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KCDIOM

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KCDIOM

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