Properties of nano encapsulated l-arginine and resveratrol in watersoluble polymers

This article analyzes properties of nano encapsulated L-arginine and resveratrol using a Nanoparticle Tracking Analysis method, and studies their supramolecular properties using a selforganizatio

On the variance of the number of occupied boxes

We consider the occupancy problem where balls are thrown independently at infinitely many boxes with fixed positive frequencies. It is well known that the random number of boxes occupied by the first n balls is asymptotically normal if its variance V_n tends to infinity. In this work, we mainly focus on the opposite case where V_n is bounded, and derive a simple necessary and sufficient condition for convergence of V_n to a finite limit, thus settling a long-standing question raised by Karlin in the seminal paper of 1967. One striking consequence of our result is that the possible limit may only be a positive integer number. Some new conditions for other types of behavior of the variance, like boundedness or convergence to infinity, are also obtained. The proofs are based on the poissonization techniques.Comment: 34 page

The Appearance of Traditional Journalism Characteristics in the Corporate Media (Using East Siberian Media as an Example)

New phenomena arise in the typology of the media. They appear with the development of trends. Therefore, their nature is unstable and controversial. The media is a very dynamic field, so it is necessary to understand new phenomena and to describe them. This article discusses one of the most striking trends in the development of Russian corporate media. It is a gradual leveling of the typological differences between traditional media and corporate media. The author identifies characteristics of traditional journalism, penetrating into the corporate media headlines, taking East Siberian media as an example. The features of corporate media resulting in socio-political urban and regional newspapers are also considered.В типологии такого динамичного явления, как средства массовой информации, время от времени возникают новые особенности, требующие осмысления и описания. Они появляются в связи с определенными тенденциями развития и, следовательно, имеют неустойчивый и спорный характер. В статье рассматривается одна их ярчайших тенденций в отечественных корпоративных медиа – постепенное нивелирование типологической разницы между традиционными печатными изданиями и корпоративной периодикой. На примере изданий Восточной Сибири автор выделяет особенности традиционной журналистики, проникающие на страницы корпоративных газет, а также черты корпоративных медиа, возникающие в общественно-политических городских и районных изданиях

Differentiability of solutions of stationary Fokker–Planck–Kolmogorov equations with respect to a parameter

We obtain sufficient conditions for the differentiability of solutions to stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. In particular, this gives conditions for the differentiability of stationary distributions of diffusion processes with respect to a parameter

Kantorovich type topologies on spaces of measures and convergence of barycenters

We study two topologies $\tau_{KR}$ and $\tau_K$ on the space of measures on a completely regular space generated by Kantorovich--Rubinshtein and Kantorovich seminorms analogous to their classical norms in the case of a metric space. The Kantorovich--Rubinshtein topology $\tau_{KR}$ coincides with the weak topology on nonnegative measures and on bounded uniformly tight sets of measures. A~sufficient condition is given for the compactness in the Kantorovich topology. We show that for logarithmically concave measures and stable measures weak convergence implies convergence in the Kantorovich topology. We also obtain an efficiently verified condition for convergence of the barycenters of Radon measures from a sequence or net weakly converging on a locally convex space. As an application it is shown that for weakly convergent logarithmically concave measures and stable measures convergence of their barycenters holds without additional conditions. The same is true for measures given by polynomial densities of a fixed degree with respect to logarithmically concave measures