Titlebook: Engineering Mathematics II; Algebraic, Stochasti Sergei Silvestrov,Milica Rančić Conference proceedings 2016 Springer International Publish

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Valued Custom Skew Fields with Generalised PBW Property from Power Series Construction,ensively, still manages to produce algebras with a number of useful properties: they have a Poincaré–Birkhoff–Witt type basis, they are equipped with a norm (actually an ultranorm) that is trivial to compute for basis elements, they are topologically complete, and they satisfy their given commutatio

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Centralizers and Pseudo-Degree Functions,tudy centralizers in certain algebras with valuations. We prove that the centralizer of an element in these algebras is a free module over a certain ring. Under further assumptions we obtain that the centralizer is also commutative.

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玉米棒子

Asymptotic Expansions for Moment Functionals of Perturbed Discrete Time Semi-Markov Processes,s under which the moment functionals of interest can be expanded in asymptotic power series with respect to the perturbation parameter are given. We show how the coefficients in these expansions can be computed from explicit recursive formulas. In particular, the results of the present paper have ap

玉米棒子

Asymptotics for Quasi-stationary Distributions of Perturbed Discrete Time Semi-Markov Processes, of interest for analysis of stochastic systems which have finite lifetimes but are expected to persist for a long time. We obtain asymptotic power series expansions for quasi-stationary distributions and it is shown how the coefficients in these expansions can be computed from a recursive algorithm

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PageRank, a Look at Small Changes in a Line of Nodes and the Complete Graph,e Google. This article has its main focus in the understanding of the behavior of PageRank as the system dynamically changes either by contracting or expanding such as when adding or subtracting nodes or links or groups of nodes or links. In particular we will take a look at link structures consisti

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