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1.
M. L. Khazin 《Theoretical and Mathematical Physics》1987,71(2):549-552
Summary On the basis of this work, we can assert the following: 1) the diffusion coefficient of the massive particle for the model described in Sec. 2 depends on the mass; 2) testing of the coordinate distribution for the heavy particle for M 1 at a fixed time showed that with a high significance level (<99.9%) this distribution is not Gaussian.Institute of Physical Chemistry, USSR Academy of Sciences, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 71, No. 2, pp. 299–303, May, 1987. 相似文献
2.
D. S. Okhezin 《Journal of Mathematical Sciences》2007,144(3):4152-4183
The main object of study is the space of all monotone continuous functions CM(X) on a connected Tychonoff space X endowed with the topology of pointwise (CM
p
(X)) or uniform (CM(X)) convergence. Technical questions concerning restriction and extension of monotone functions are considered in Sec. 2. Conditions
for CM(X) to separate the points of X and for CM(X) to contain only constant functions are found in Sec. 3. In Sec. 4, the linear structure of CM(X) is studied and all linear subspaces of CM(X) for a certain class of spaces X are described. In Sec. 5, conditions under which CM(X) is closed and nowhere dense in C
p
(X) and C(X) are determined. The metrizability of CM
p
(X) is considered in Sec. 6; necessary and sufficient metrizability conditions for various classes of spaces X are obtained. In Sec. 7, criteria for σ-compactness and the Hurewicz property in the class of spaces CM
p
(X) are given.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 34, General
Topology, 2005. 相似文献
3.
Yu. A. Neretin 《Functional Analysis and Its Applications》2000,34(3):197-207
The problem of restricting a highest weight representation of the group U(p, q) to the subgroup O(p, q) is considered. This restriction has an intricate spectrum that contains representations of different types. We construct
a decomposition of this representation into reducible representations each of which has a single-type spectrum.
Some integrals over classical groups are also calculated; these integrals generalize those of Hua.
Partially supported by grant RFBR 98-01-00303 and the Russian program of support of leading scientific schools (grant RFBR
96-01-96249).
Moscow Institute of Electronics and Mathematics. Translated from Funktsional'nyi analiz i Ego Prilozheniya, Vol. 34, No. 3,
pp. 49–62, July–September, 2000.
Translated by Yu. A. Neretin 相似文献
4.
In 1962 Pósa conjectured that every graph G on n vertices with minimum degree \begin{align*}\delta(G)\ge \frac{2}{3}n\end{align*} contains the square of a hamiltonian cycle. In 1996 Fan and Kierstead proved the path version of Pósa's Conjecture. They also proved that it would suffice to show that G contains the square of a cycle of length greater than \begin{align*}\frac{2}{3}n\end{align*}. Still in 1996, Komlós, Sárközy, and Szemerédi proved Pósa's Conjecture, using the Regularity and Blow‐up Lemmas, for graphs of order n ≥ n0, where n0 is a very large constant. Here we show without using these lemmas that n0:= 2 × 108 is sufficient. We are motivated by the recent work of Levitt, Sárközy and Szemerédi, but our methods are based on techniques that were available in the 90's. © 2011 Wiley Periodicals, Inc. Random Struct. Alg., 2011 相似文献
5.
Peter Allen Julia Bttcher Jozef Skokan Maya Stein 《Random Structures and Algorithms》2020,56(2):306-338
Advancing the sparse regularity method, we prove one‐sided and two‐sided regularity inheritance lemmas for subgraphs of bijumbled graphs, improving on results of Conlon, Fox, and Zhao. These inheritance lemmas also imply improved H‐counting lemmas for subgraphs of bijumbled graphs, for some H. 相似文献
6.
条件数学期望与随机变量独立性的一个充要条件 总被引:1,自引:0,他引:1
随机试验的独立性、随机事件的独立性、随机变量的独立性均是概率统计中的重要概念,不少学者都在这些方面有所讨论.本文作者就二维离散形随机向量(ξ,η)中两个分量ξ与η的相互独立性展开讨论.先是证明了三个引理,其中引理1在一般概率论教科书中均有介绍,但为使读者方便,作者也作了证明.利用三个引理,作者找到随机变量独立性的一个充要条件. 相似文献
7.
A. A. Gerko 《Journal of Mathematical Sciences》2007,142(4):2205-2232
For finite modules over a local ring and complexes with finitely generated homology, we consider several homological invariants
sharing some basic properties with projective dimension.
In the second section, we introduce the notion of a semidualizing complex, which is a generalization of both a dualizing complex and a suitable module. Our goal is to establish some common properties of such complexes and the homological dimension with respect to them.
Basic properties are investigated in Sec. 2.1. In Sec. 2.2, we study the structure of the set of semidualizing complexes over
a local ring, which is closely related to the conjecture of Avramov-Foxby on the transitivity of the G-dimension. In particular,
we prove that, for a pair of semidualizing complexes X
1 and X
2 such that G
X2, we have X
2 ≃ X
1 ⊗
R
L
RHom
R
(X
1, X
2). Specializing to the case of semidualizing modules over Artinian rings, we obtain a number of quantitative results for the
rings possessing a configuration of semidualizing modules of special form. For the rings with m
3=0, this condition reduces to the existence of a nontrivial semidualizing module, and we prove a number of structural results
in this case.
In the third section, we consider the class of modules that contains the modules of finite CI-dimension and enjoys some nice
additional properties, in particular, good behavior in short exact sequences.
In the fourth section, we introduce a new homological invariant, CM-dimension, which provides a characterization for Cohen-Macaulay
rings in precisely the same way as projective dimension does for regular rings, CI-dimension for locally complete intersections,
and G-dimension for Gorenstein rings.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 30, Algebra,
2005. 相似文献
8.
V. E. Bening 《Journal of Mathematical Sciences》2000,99(4):1403-1407
In this paper, we consider asymptotic expansions and the rate of convergence for the distribution function of asymptotically
efficient U-statistics under alternatives in the one-sample problem. Section 1 is an introduction. Section 2 contains the
theorem concerning the rate of convergence for U-statistics; in Sec. 3, we formulate sets of sufficient conditions under which
Edgeworth-type asymptotic expansions for U-statistics under alternatives will be constructed (see Theorem 2). Finally, these
theorems are proved in Sec. 4.
Supported by the Russian Foundation for Basic Research (grant No. 96-01-01919).
Proceedings of the Seminar on Stability Problems for Stochastic Models, Vologda, Russia, 1998, Part II. 相似文献
9.
O. A. Ladyzhenskaya 《Journal of Mathematical Sciences》2003,115(6):2792-2802
In Sec. 2, sufficient conditions of the boundedness of convolution operators with kernel m in a nonhomogeneous Hölder space are given in terms of the Fourier-image of m. After that, the results of Sec. 2 are used to prove the solvability in a Hölder space of the Cauchy problem for linear systems of the hydrodynamic type. Bibliography: 6 titles. 相似文献
10.
A. A. Korenovskii 《Mathematical Notes》2005,77(1):48-60
We obtain a multidimensional analog of the well-known Riesz rising sun lemma. We prove a more precise version of this lemma for space dimension d = 2 . We use these lemmas to establish an anisotropic analog of the John-Nirenberg inequality for functions of bounded mean oscillation with an exact constant in the exponent. Earlier, this exact constant was only known in the one-dimensional case. 相似文献
11.
R. Yanushkevichius 《Journal of Mathematical Sciences》1995,76(1):2214-2220
The stability of characterizations of the exponential distribution came to the attention of many authors. The main achievements
in that sphere up to1990 are given in the author's monograph [R. Yanushkevichius,Stability of Characterizations of Probability Distributions, Mokslas, Vilnius, (1991)]. In the present paper we review the results obtained in the last three years and investigate the
stability of characterization of the exponential law by regression properties of order statistics.
Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, 1993 相似文献
12.
N. Balakrishnan 《Annals of the Institute of Statistical Mathematics》1989,41(2):323-329
Some recurrence relations among moments of order statistics from two related sets of variables are quite well-known in the i.i.d. case and are due to Govindarajulu (1963a, Technometrics, 5, 514–518 and 1966, J. Amer. Statist. Assoc., 61, 248–258). In this paper, we generalize these results to the case when the order statistics arise from two related sets of independent and non-identically distributed random variables. These relations can be employed to simplify the evaluation of the moments of order statistics in an outlier model for symmetrically distributed random variables. 相似文献
13.
G. Rcheulishvili 《Theoretical and Mathematical Physics》1995,102(3):251-256
The series of Killing vectors for the line element (2) are described. Their algebras and curvature are presented. Explicit expressions of the metrics for higher symmetries are given.Institute for High Energy Physics, Protvino, 142284 Moscow Region, Russia. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 3, pp. 345–351, March 1995. 相似文献
14.
《Quaestiones Mathematicae》2013,36(2):103-113
Abstract We prove lemmas in Andrunakievich s-varieties on the transitivity of the relation “is an ideal of” and concerning subdirectly irreducible factor rings. Applying these lemmas we show that a Plotkin radical introduced in [8] has the ADS-property and is ideal hereditary. These lemmas are applicable in proving a subdirect decomposition for rings having an ideal with 0 antisimple radical. For Jordan algebras and near-rings (they do not form Andrunakievich varieties) we can prove a similar subdirect decomposition concerning ideals with 0 Brown-McCoy radical. 相似文献
15.
Guido Gherardi 《Mathematical Logic Quarterly》2006,52(6):625-642
The focus of this paper is the incomputability of some topological functions (with respect to certain representations) using the tools of Borel computability theory, as introduced by V. Brattka in [3] and [4]. First, we analyze some basic topological functions on closed subsets of ?n , like closure, border, intersection, and derivative, and we prove for such functions results of Σ02‐completeness and Σ03‐completeness in the effective Borel hierarchy. Then, following [13], we re‐consider two well‐known topological results: the lemmas of Urysohn and Urysohn‐Tietze for generic metric spaces (for the latter we refer to the proof given by Dieudonné). Both lemmas define Σ02‐computable functions which in some cases are even Σ02‐complete. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
16.
For the Schrödinger and Dirac equations in an external gauge field with symmetry groupSU(2), we construct to any degree of accuracy in powers ofh
1/2,h0, approximate dynamical states in the form of wave packets—semiclassical trajectory-coherent states. For the quantum expectation values calculated with respect to these semiclassical states we obtain for the operators of the coordinates, momenta, and isospin of the particle Hamiltonian equations of motion that are equivalent (in the relativistic case after transition to the proper time) to Wong's well-known equations for a non-Abelian charge with isospin 1/2.Moscow Engineering Physics Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 1, pp. 41–61, July, 1992. 相似文献
17.
Leah Wrenn Berman 《Discrete and Computational Geometry》2011,46(3):447-470
A geometric (q,k)-configuration is a collection of points and straight lines in the Euclidean plane in which each point lies on q lines and each line passes through k points. We say a (q,k)-configuration is highly incident when one (or both) of q or k is strictly greater than 4. In this paper, two simple lemmas are used to construct infinite classes of (2q,2k)-configurations for any q,k≥2; the resulting configurations have non-trivial dihedral symmetry. In particular, this construction produces the only known
infinite class of symmetric 6-configurations. 相似文献
18.
We prove Anderson localization near the bottom of the spectrum for two-dimensional
discrete Schrödinger operators with random magnetic fields and no
scalar potentials. We suppose the magnetic fluxes vanish in pairs, and the magnetic
field strength is bounded from below by a positive constant. Main lemmas
are the Lifshitz tail and the Wegner estimate on the integrated density of states.
Then, Anderson localization, i.e., pure point spectrum with exponentially decreasing
eigenfunctions, is proved by the standard multiscale argument.
Communicated by Gian Michele Graf
submitted 01/10/02, accepted: 16/04/03 相似文献
19.
Approximation of the long‐term dynamics of the dynamical system generated by the multilayer quasigeostrophic equations of the ocean
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Theodore Tachim Medjo C. Tone F. Tone 《Numerical Methods for Partial Differential Equations》2016,32(3):1041-1065
In this article, we study the multilayer quasigeostrophic equations of the ocean. More precisely, we discretize these equations in time using the implicit Euler scheme and using the classical and uniform discrete Gronwall lemmas we prove that the approximate solution is uniformly bounded in H?1, L2 and H1. Using the uniform stability of the scheme and the theory of the multivalued attractors, we then prove that the discrete attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time‐step approaches zero. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1041–1065, 2016 相似文献
20.
Éric Gaudron 《manuscripta mathematica》2009,130(2):159-182
A Siegel’s lemma provides an explicit upper bound for a non-zero vector of minimal height in a finite dimensional vector spaces
over a number field. This article explains how to obtain Siegel’s lemmas for which the minimal vectors do not belong to a
finite union of vector subspaces (Siegel’s lemmas with conditions). The proofs mix classical results of adelic geometry of numbers and an adelic variant of a theorem of Henk about the number
of lattice points of a centrally symmetric convex body in terms of the successive minima of the body. 相似文献