On minimal affinizations of representations of quantum groups

In this paper we study minimal affinizations of representations of quantum groups (generalizations of Kirillov-Reshetikhin modules of quantum affine algebras introduced by Chari). We prove that all minimal affinizations in types A, B, G are special in the sense of monomials. Although this property is not satisfied in general, we also prove an analog property for a large class of minimal affinization in types C, D, F. As an application, the Frenkel-Mukhin algorithm works for these modules. For minimal affinizations of type A, B we prove the thin property (the l-weight spaces are of dimension 1) and a conjecture of Nakai-Nakanishi (already known for type A). The proof of the special property is extended uniformly for more general quantum affinizations of quantum Kac-Moody algebras.Comment: 38 pages; references and additional results added. Accepted for publication in Communications in Mathematical Physic

Radial profiles of plasma density and poloidal rotation velocity measured by microwave reflectometry for different regimes of RF plasma production in “Uragan-3m” torsatron

Studies on choice of optimized regimes of RF plasma production/heating in Uragan-3M were performed by using microwave reflectometry. Radial profiles of electron density and it fluctuation and poloidal rotation velocity have been measured for different RF antenna configurations and confining magnetic field direction. It was shown that plasma parameters are changing at magnetic field reversal. Best regime is that one when magnetic field direction is “normal” (that one at which magnetic configuration was “tuned” at magnetic surfaces studies). This regime is characterized by higher value of electron density and by higher value of poloidal rotation velocity shear

Radial distributions of RF discharge plasma parameters and radial electric field in the Uragan-3M torsatron

The results of local measurements of RF discharge plasma parameters (plasma density and its fluctuations, electron temperature and energy of superthermal electrons, plasma poloidal rotation velocity) in the Uragam-3M torsatron are presented. The obtained data are analyzed taking into account the peculiarities of the Uragan-3M magnetic configuration and scenario of RF plasma production and heating. Some suppositions about mechanisms of a radial electric field generation are discussed with the calculation of a magnetic configuration island structure

Formation of ITB in the vicinity of rational surfaces in the Uragan-3M torsatron

It was shown that there is the possibility of ITB formation in the vicinity of rational surfaces in a torsatron magnetic configuration. The formation of ITB is accompanied by fast change of plasma poloidal rotation velocity, radial electric field and its shear and the decrease of plasma density fluctuations. After the ITB formation the transition to the improved plasma confinement takes place. The transition stars when electron temperature in the region of rational surfaces is sufficient to satisfy the condition υTe/uei>>2πR0 (here υTe is electron thermal velocity and uei is the frequency of ion – electron collisions, and R0 is the major radius of the torus). Such a regime can be maintained during the whole duration of RF discharge without any disturbances.Показано, що існує можливість формування внутрішнього теплового бар’єру (ВТБ) в плазмі ВЧ розряду в околиці раціональних поверхонь в торсатронній магнітній конфігурації. Формування ВТБ супроводжується бистрими змінами швидкості полоідального обертання плазми, радіального електричного поля и його шира і зменшенням флуктуацій густини плазми поблизу раціональних поверхонь. Після формування ВТБ спостерігається перехід в режим поліпшеного утримання плазми. Час переходу зменшується із збільшенням ВЧ потужності нагріву.Показано, что имеется возможность формирования внутреннего теплового барьера (ВТБ) в плазме ВЧ разряда в окрестности рациональных поверхностей в торсатронной магнитной конфигурации. Формирование ВТБ сопровождается быстрыми изменениями скорости полоидального вращения плазмы, радиального электрического поля и его шира и уменьшением флуктуаций плотности плазмы вблизи рациональных поверхностей. После формирования ВТБ наблюдается переход в режим улучшенного удержания плазмы. Время перехода сокращается с увеличением ВЧ мощности нагрева

hnRNP-K targets open chromatin in mouse embryonic stem cells in concert with multiple regulators

The transcription factor Oct4 plays a key regulatory role in the induction and maintenance of cellular pluripotency. With this paper, we show that ubiquitous and multifunctional poly(C) DNA/RNA-binding protein hnRNP-K occupies Oct4 (Pou5f1) enhancers in embryonic stem cells (ESCs) but is dispensable for the initiation, maintenance, and downregulation of Oct4 gene expression. Nevertheless, hnRNP-K has an essential cell-autonomous function in ESCs to maintain their proliferation and viability. To better understand mechanisms of hnRNP-K action in ESCs we have performed ChIP-seq analysis of genome-wide binding of hnRNP-K and identified several thousands of hnRNP-K target sites that are frequently co-occupied by pluripotency-related and common factors (Oct4, TBP, Sox2, Nanog, Otx2, etc.), as well as active histone marks. Furthermore, hnRNP-K localizes exclusively within open chromatin, implying its role in the onset and/or maintenance of this chromatin state. SIGNIFICANCE STATEMENT: In this work, the authors found that poly(C)-binding protein hnRNP-K occupy distal and proximal enhancers of the Oct4 gene via TC-elements. Genome-wide analysis revealed a lot of colocalizations of hnRNP-K with TBP, Oct4, Otx2 and active histone marks. A very intriguing aspect of the study is that hnRNP-K role expands to recruitment of the general transcription factor TBP to TATA-less genes

ON A TWO-FLUID INCLINED FILM FLOW WITH EVAPORATION

This paper is concerned with a plane steady-state inclined film flow including evaporation effects. The motion is governed by a free boundary value problem for a coupled system of Navier–Stokes and Stefan equations. The flow domain is unbounded in two directions and it contains a geometrical perturbation on the inclined bottom. Existence and uniqueness of a suitable solution in weighted Sobolev spaces can be proved for small data (perturbation, inclination of the bottom) characterizing the problem