the aim of this article is studying the second war of a set of three wars of shapur i against romans empire by virtue of the text of the inscription kaabe-ie zartosht. in this article by study and analysis of different presented ideas about the year of the occurrence of second war of shapur i against romans and also roman emperor who fought with him whose name has not been mentioned in inscript...

The theory of noncommutative martingale inequalities has been rapidly developed since the establishment of the noncommutative Burkholder-Gundy inequalities in [12]. Many of the classical martingale inequalities has been transferred to the noncommutative setting. These include, in particular, the Doob maximal inequality in [3], the Burkholder/Rosenthal inequality in [5], [8], several weak type (...

A maximal inequality is an which involves the (absolute) supremum sups⩽t|Xs| or running maximum sups⩽tXs of a stochastic process (Xt)t⩾0. We discuss inequalities for several classes processes with values in Euclidean space: Martingales, Lévy processes, Lévy-type – including Feller (compound) pseudo Poisson stable-like and solutions to SDEs driven by –, strong Markov Gaussian processes. Using Bu...

Let A denote the reduced amalgamated free product of a family A1,A2, . . . , An of von Neumann algebras over a von Neumann subalgebra B with respect to normal faithful conditional expectations Ek : Ak → B. We investigate the norm in Lp(A) of homogeneous polynomials of a given degree d. We first generalize Voiculescu’s inequality to arbitrary degree d ≥ 1 and indices 1 ≤ p ≤ ∞. This can be regar...

Multi-dimensional continuous local martingales, enhanced with their stochastic area process, give rise to geometric rough paths with a.s. finite homogenous p-variation, p > 2. Here we go one step further and establish quantitative bounds of the p-variation norm in the form of a BDG inequality. Our proofs are based on old ideas by Lépingle. We also discuss geodesic and piecewise linear approxima...

BACKGROUND Scorpion sting is a public health problem in Khuzestan, South-West Iran. The aims of the current study were to monitor the hospitalized children, due to scorpion sting, and releasing more clinical and epidemiologic data related to scorpionism in this Province. METHODS In this retrospective study, the data of scorpion sting victims, among the hospitalized children in Abuzar Children...

The aim of the current paper is to present the path-wise and moment estimates for solutions to stochastic functional differential equations with non-linear growth condition in the framework of G-expectation and G-Brownian motion. Under the nonlinear growth condition, the pth moment estimates for solutions to SFDEs driven by G-Brownian motion are proved. The properties of G-expectations, Hölder'...