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Let (­;§; ¸) be a measurable space with a finite complete measure ¸ and L0 = L0(­) be an algebra of equivalence classes of complex measurable functions on ­: In the present paper we define C¤-algebras over ideals of L0: It is proved that any C¤-algebra over ideal can be represented as measurable bundle of C¤-algebras. Measurable bundles of

Two Potts Models on Cayley Tree of Arbitrary Order This article has been downloaded from IOPscience. Please scroll down to see the full text article. 2013 J. Phys.: Conf. Ser. 435 012033 (http://iopscience.iop.org/1742-6596/435/1/012033) Download details: IP Address: 175.138.32.53 The article was downloaded on 28/04/2013 at 04:29 Please note that t

A class of Arens algebras of vector Banach algebra valued functions is considered. It is shown that Arens algebra of vector-valued functions is complete locally convex metrizable algebra. HindawiPublishingCorporation JournalofFunctionSpacesandApplications Volume2013,ArticleID248925, 4pages http://dx.doi.org/10.1155/2013/248925 ResearchArticle The A

Sticker system has been introduced by Kari in 1998 as a model for DNA computing using the recombination behavior of DNA molecules. A sticker model is an abstract computational model which uses the Watson-Crick complementary principle of DNA molecules. A sticker operation works by using ligation and annealing operation to form a complete double stra

General genetic algebras are the product of interaction between biology and mathematics. The study of these algebras reveals the algebraic structure of Mendelian and non-Mendelian genetics, which always simplifies and shortens the way to understand the genetic and evolutionary phenomena in real world. Mathematically, the algebras that arise in gene

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In this paper we prove weighted martingale-ergodic and weighted ergodic-martingale theorems. Furthermore, analogous dominant and maximal inequalities for weighted martingale ergodic sequences and weighted ergodic martingale averages are also obtained. Middle -East Journal of Scientific Research 13 (Mathematical Applications in Engineering): 70 -76,

The discrete-time approach to real option valuation has typically been implemented in the finance literature using a binomial tree framework. Instead we develop a new model by randomizing the environment and call such model a random binomial tree. Whereas the usual model has only one environment (u, d) where the price of underlying asset can move b

We consider the Vannimenus model on a Cayley tree of arbitrary order k with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions J2 and J3 in the presence of an external magnetic field h. In this paper we study the phase diagram of the model using an iterative scheme for a renormalized effective nearest-neighbour coup