For sequences $\alpha \equiv \{\alpha_n\}_{n=0}^{\infty}$ of positive real numbers, called weights, we study the weighted shift operators $W_{\alpha}$ having property moment infinite divisibility ($\mathcal{MID}$); that is, for any $p > 0$, Schur power $W_{\alpha}^p$ is subnormal. We first prove $\mathcal{MID}$ if and only certain matrices $\log M_{\gamma}(0)$ M_{\gamma}(1)$ are conditionally d...

Contraction theory for dynamical systems on Euclidean spaces is well-established. For contractive (resp. semicontractive) systems, the distance semidistance) between any two trajectories decreases exponentially fast. partially each trajectory converges fast to an invariant subspace. In this article, we develop contraction Hilbert spaces. First, provide a novel integral condition contractivity, ...

Dans cet article, nous introduisons et étudions des opérateurs de Jacobi non locaux, qui généralisent les classiques (locaux). Nous montrons que ces s’étendent aux générateurs semi-groupes Markov ergodiques avec mesures probabilité invariantes uniques leurs propriétés spectrales convergence. En particulier, dérivons un développement en série du semi-groupe termes polynômes explicitement définis...

The preservation of characteristic qualitative properties of different phenomena is a more and more important requirement in the construction of reliable numerical models. For phenomena that can be mathematically described by linear partial differential equations of parabolic type (such as the heat conduction, the diffusion, the pricing of options etc), the most important qualitative properties...

In this paper we study the convergence towards consensus on information in a distributed system of agents communicating over a network. The particularity of this study is that the information on which the consensus is seeked is not represented by real numbers, rather by logical values or compact sets. Whereas the problems of allowing a network of agents to reach a consensus on logical functions...

In this article we first discuss the existence and uniqueness of a solution for the coincidence problem: Find p ∈ X such that Tp = Sp, where X is a nonempty set, Y is a complete metric space, and T,S :X → Y are two mappings satisfying a Wardowski type condition of contractivity. Later on, we will state the convergence of the Picard-Juncgk iteration process to the above coincidence problem as we...