Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Belov, Alexei A."'
Euclidean outer billiard on a regular polygon (that is not a triangle, square or a hexagon) has aperiodic points, i.e., points where all iterates of the outer billiard map are defined and yield pairwise distinct images. This result answers a question
Externí odkaz:
http://arxiv.org/abs/2311.09643
This article introduces a pedagogical method for {\it solving combinatorial problems} that frequently involve structures that are unfamiliar or less familiar. Indeed, an indirect method has been proposed in order to evade any possible questions that
Externí odkaz:
http://arxiv.org/abs/2302.09761
Publikováno v:
J Math Sci, 271 (2023), 497-545
Average distance between two points in a unit-volume body $K \subset \mathbb{R}^n$ tends to infinity as $n \to \infty$. However, for two small subsets of volume $\varepsilon > 0$ the situation is different. For unit-volume cubes and euclidean balls t
Externí odkaz:
http://arxiv.org/abs/2301.13495
We show that the tensor product of modules of tensor fields is a noetherian module as a module over any graded Lie subalgebra of finite codimension in the Lie algebra of polynomial vector fields on $\mathbb{R}^n$. As a corollary, we prove the conject
Externí odkaz:
http://arxiv.org/abs/2211.08510
Over the years questions have arisen about T-ideals of (noncommutative) polynomials. But when evaluating a noncentral polynomial in subalgebras of matrices, one often has little control in determining the specific evaluations of the polynomial. One w
Externí odkaz:
http://arxiv.org/abs/2209.01494
The challenges of examining random partitions of space are a significant class of problems in the theory of geometric transformations. Richard Miles calculated moments of areas and perimeters of any order (including expectation) of the random divisio
Externí odkaz:
http://arxiv.org/abs/2205.05151
Publikováno v:
Linear and Multilinear Algebra (GLMA), 2023
The generalized L'vov-Kaplansky conjecture states that for any finite-dimensional simple algebra $A$ the image of a multilinear polynomial on $A$ is a vector space. In this paper we prove it for the algebra of octonions $\mathbb{O}$ over a field sati
Externí odkaz:
http://arxiv.org/abs/2204.07139
It is well known that if there exists a finite set of convex bodies on the plane with non-overlapping interiors, then there is at least one "extremal" one among them, i.e., some one which can be continuously "taken away to the infinity" (outside a la
Externí odkaz:
http://arxiv.org/abs/2109.06426
Autor:
Kanel-Belov, Alexei, Chilikov, Alexei, Ivanov-Pogodaev, Ilya, Malev, Sergey, Plotkin, Eugeny, Yu, Jie-Tai, Zhang, Wenchao
Publikováno v:
Mathematics, 8:1694, Special Issue "Mathematical Logic and Its Applications'' 2020, eds: V.A.Lubeckyi, V.G.Kanovei (2020), 1-33 , Dedicated to the 70-th anniversary of A.L. Semenov and to the 95-th anniversary of B.I. Plotkin
This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory. In Section 2.1
Externí odkaz:
http://arxiv.org/abs/2008.09788
Publikováno v:
Israel Journal of Mathematics, vol. 177, Number 1, pp. 253-266, 2010
We present a new generalization of the classical trisecant lemma. Our approach is quite different from previous generalizations. Let $X$ be an equidimensional projective variety of dimension $d$. For a given $k \leq d + 1$, we are interested in the s
Externí odkaz:
http://arxiv.org/abs/2001.03789