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Steklov Mathematical Institute
Разрешение особенностей пространств орбит $G_{n,2}/T^n$
Изучается пространство орбит $X_n = G_{n,2}/T^n$ стандартного действия компактного тора $T^n$ на комплексном многообразии Грассмана $G_{n,2}$. Описана структура множества критических точек $\operatorname {Crit}G_{n,2}$ обобщенного отображения моментов $\mu _n: G_{n,2}\to \mathbb {R}^n$, образом которого является гиперсимплекс $\Delta _{n,2}$. Каноническая проекция $G_{n,2}\to X_n$ переводит множество $\operatorname {Crit} G_{n,2}$ в множество $\operatorname {Crit}X_n$, состоящее по определению из...
Download 2022 Victor Matveevich Buchstaber , Svjetlana Terzic
American Institute of Mathematical Sciences (AIMS)
Regular local hyperrings and hyperdomains
<abstract><p>This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings $ R $ with a unique maximal hyperideal $ M $ having the dimension equal to the dimension of the vectorial hyperspace $ \frac{M}{M^2} $. The aim of the paper is to show that any regular local hyperring is a hyperdomain. For proving this, we make use of the relationship existing between...
Download 2022 Hashem Bordbar , Sanja Jančič-Rašovič , Irina Cristea
National Library of Serbia
Uniqueness for stochastic scalar conservation laws on Riemannian manifolds revisited
We revise a uniqueness question for the scalar conservation law with stochastic forcing du + divgf(x,u)dt = ?(x,u)dWt, x ? M, t ? 0 on a smooth compact Riemannian manifold (M,g) whereWt is the Wiener process and x ? f(x,?) is a vector field on M for each ? ? R. We introduce admissibility conditions, derive the kinetic formulation and use it to prove uniqueness in a more straight-forward way than in the existing literature.
Download 2022 Nikola Konatar
ASME International
Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces
Abstract The stability of general linear multidegree of freedom stable potential systems that are perturbed by general arbitrary positional forces, which may be neither conservative nor purely circulatory/conservative, is considered. It has been recently recognized that such perturbed potential systems with multiple frequencies of vibration are susceptible to instability, and this paper is centrally concerned with the situation when potential systems have such multiple natural frequencies....
Download 2022 Ranislav M. Bulatovic , Firdaus E. Udwadia
National Library of Serbia
On typological investigations of Serbian and other Slavic languages by Academician Predrag Piper
In this brief review of the broad field of research of Academician Predrag Piper, we tried to point out some typologically relevant similarities and differences between Slavic languages, especially regarding pronouns and numbers (which were much less discussed in the Slavic scientific community), as well as morphological-syntactic categories of impersonality and personality. Predrag Piper?s work on describing morphological and syntactic categories in Slavic languages concerning...
Download 2022 Zdravko Babić
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