Our work is motivated by the need for tractable stochastic models for complex network and system dynamics. With this motivation in mind, we develop a class of discrete-time Markov models, called moment-linear stochastic systems (MLSS), which are structured so that moments and cross-moments of the state variables can be computed efficiently, using linear recursions. We show that MLSS provide a c...

In this paper we consider two related objects: singular positive semidefinite Hankel block–matrices and associated degenerate truncated matrix Hamburger moment problems. The description of all solutions of a degenerate matrix Hamburger moment problem is given in terms of a linear fractional transformation. The case of interest is the Hamburger moment problem whose Hankel block–matrix admits a p...

Moments of images provide efficient local descriptors and have been used extensively in image analysis applications. Their main advantage is their ability to provide invariant measures of shape. In this work, we present an overview of the most commonly used image moments, as well as a hardware architecture capable of fast calculation of geometric, Zernike and Tchebichef moments. Index Terms – I...

We investigate the sixth moment of family L-functions associated to holomorphic modular forms on GL2 with respect a congruence subgroup Γ1(q). improve previous work and obtain an unconditional upper bound correct order magnitude.

We study the self-similar behavior of exchange-driven growth model, which describes a process in pairs clusters, consisting an integer number monomers, interact through exchange single monomer. The rate is given by interaction kernel $K(k,l)$ depends on sizes $k$ and $l$ two interacting clusters assumed to be product form $(k\,l)^\lambda$ for $\lambda \in [0,2)$. rigorously establish coarsening...

pushover analysis is a simplified nonlinear analysis technique that can be used to estimate the dynamic demands imposed on a structure under earthquake excitations. one of the first steps taken in this approximate solution is to assess the maximum roof displacement, known as target displacement, using the base shear versus roof displacement diagram. that could be done by the so-called dynamic p...

in this paper, we generalize a theorem of shao [12] by assuming that is a sequence of linear negatively dependent random variables. also, we extend some theorems of chao [6] and thrum [14]. it is shown by an elementary method that for linear negatively dependent identically random variables with finite -th absolute moment the weighted sums converge to zero as where and is an array of real numbe...