共查询到20条相似文献,搜索用时 15 毫秒
1.
We study lower bounds on the number of nonzero entries in (0, 1) matrices such that the permanent is always convertible to the determinant by placing?±?signs on matrix entries. 相似文献
2.
Klaus Schiefermayr 《Acta Mathematica Hungarica》2014,142(1):80-94
Consider the problem, usually called the Pólya–Chebotarev problem, of finding a continuum in the complex plane including some given points such that the logarithmic capacity of this continuum is minimal. We prove that each connected inverse image ${\mathcal {T}}_{n}^{-1} ([-1,1])$ of a polynomial ${\mathcal {T}}_{n}$ is always the solution of a certain Pólya–Chebotarev problem. By solving a nonlinear system of equations for the zeros of ${\mathcal {T}}_{n}^{2}-1$ , we are able to construct polynomials ${\mathcal {T}}_{n}$ with a connected inverse image. 相似文献
3.
A. Guterman 《Journal of Mathematical Sciences》2014,197(6):782-786
Let $ \mathbb{F} $ be a finite field of characteristics different from 2. We show that no bijective map transforms the permanent to the determinant when the cardinality of $ \mathbb{F} $ is sufficiently large. Also we determine Gibson barriers (the maximal and minimal numbers of nonzero elements) for convertible (0, 1)-matrices and solve several related problems in different matrix subspaces. Our results are illustrated by examples. This paper is based on the joint work with G. Dolinar, B. Kuzma, and M. Orel. 相似文献
4.
David Adam 《manuscripta mathematica》2008,126(2):231-246
Let be a finite function field extension and denote by O
K
the integral closure of in K. In this article, we are interested in Pólya fields, that is, fields K, such that the O
K
-module Int(O
K
) of integer-valued polynomials over O
K
admits a regular basis. We show that the cyclotomic extensions of are Pólya fields, and we characterize some totally imaginary extensions which are Pólya fields. Then, we are interested in
Pólya fields K which have a regular basis of the form for some sequences of elements of O
K
. For totally imaginary extensions, we show that it is the case if and only if O
K
is isomorphic to . This gives a answer to a question raised by Thakur.
The author thanks his thesis adviser Jean-Luc Chabert, and Mireille Car for their help, and their valuable advices to do this
work. The author thanks also the referee for his valuable remarks. 相似文献
5.
We study poissonized triangular (reducible) urns on two colors, which we take to be white and blue. We analyze the number of white and blue balls after a certain period of time has elapsed. We show that for balanced processes in this class, a different scaling is needed for each color to produce nontrivial limits, contrary to the distributions in the usual irreducible urns which only require the same scaling for both colors. The limit distributions (of the scaled variables) underlying triangular urns are Gamma. The technique we use couples partial differential equations with the method of moments applied in a bootstrapped manner to produce exact and asymptotic moments. For the dominant color, we get exact moments, while relaxing the balance condition. The exact moments include alternating signs and Stirling numbers of the second kind. 相似文献
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7.
Förster Yanik-Pascal Kieburg Mario Kösters Holger 《Journal of Theoretical Probability》2021,34(4):1917-1950
Journal of Theoretical Probability - We study several kinds of polynomial ensembles of derivative type which we propose to call Pólya ensembles. These ensembles are defined on the spaces of... 相似文献
8.
Mathias Rafler 《Journal of Theoretical Probability》2013,26(4):1097-1116
Zessin (J. Contemp. Math. Anal. 44(1):36–44, 2009) constructed the so-called Pólya sum process via partial integration technique. This process shares some important properties with the Poisson process such as complete randomness and infinite divisibility. This work discusses H-sufficient statistics for the Pólya sum process as was done for the Poisson process by Nguyen and Zessin (Z. Wahrscheinlichkeitstheor. Verw. Geb. 37(3):191–200, 1976/77). 相似文献
9.
V. V. Nekrutkin 《Vestnik St. Petersburg University: Mathematics》2007,40(3):243-249
It is proved that a mixed Poisson process ξt is a Pólya process if and only if there exists a nondegenerate linear transform ξt → ηt = a(t)ξt + b(t) such that ηt is a martingale. A similar result is valid for Pólya sequences. 相似文献
10.
11.
In this paper, we introduce the Type II bivariate Pólya–Aeppli distribution as a compound Poisson distribution with bivariate geometric compounding distribution. The probability mass function, recursion formulas, conditional distributions and some other properties are then derived for this distribution. 相似文献
12.
A. I. Il'inskii 《Mathematical Notes》1977,21(5):400-405
In the framework of the theory of D. Kendall's delphic semigroups are considered problems of divisibility in the semigroup of convex characteristic functions on the semiaxis (0,). Letn ()={:1¦11 or 1=}, and Io()={: 1¦ 1 N()}. The following results are proved: 1) The semigroup is almost delphic in the sense of R. Davidson. 2) N() is a set of the type G which is dense in (in the topology of uniform convergence on compacta). 3) The class Io() contains only the function identically equal to one.Translated from Matematicheskie Zametki, Vol. 21, No. 5, pp. 717–725, May, 1977.The author thanks I. V. Ostrovskii for the formulation of the problem and valuable remarks. 相似文献
13.
14.
Panagiotou and Stufler recently proved an important fact on their way to establish the scaling limits of random Pólya trees: a uniform random Pólya tree of size consists of a conditioned critical Galton–Watson tree and many small forests, where with probability tending to one, as tends to infinity, any forest , that is attached to a node in , is maximally of size . Their proof used the framework of a Boltzmann sampler and deviation inequalities.In this paper, first, we employ a unified framework in analytic combinatorics to prove this fact with additional improvements for , namely . Second, we give a combinatorial interpretation of the rational weights of these forests and the defining substitution process in terms of automorphisms associated to a given Pólya tree. Third, we derive the limit probability that for a random node the attached forest is of a given size. Moreover, structural properties of those forests like the number of their components are studied. Finally, we extend all results to other Pólya structures. 相似文献
15.
16.
Ю. А. Казьмин 《Analysis Mathematica》1976,2(2):99-116
f(z), :f(n)=0 (n=0, ±1, ±2, ...). ((n)} L
p
,p>1, . 相似文献
17.
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19.
Summary In this note we observe that for independent symmetric random variables X and Y, when the pdf of X is PF, the conditional distributions of ¦Y¦ given S = X + Y form a MLR family. We then show that for a function : R
nR that is symmetric in each coordinate and increasing on (0, )n, E((S1,...,Sn)¦Sn = s) is even and increasing in ¦s¦. Here S1,...,Sn are partial sums with independent symmetric PF summands. Application is made to sequential tests that minimize the maximum expected sample size when the model is a one-parameter exponential family generated by a symmetric PF
density.Work supported by NSF grants MPS 72-05082 AO2 and MCS 75-23344 相似文献
20.
Yuki Seo 《Linear algebra and its applications》2013,438(4):1711-1726
In this paper, we shall show generalized Pólya–Szegö type inequalities of n positive invertible operators on a Hilbert space for any integer in terms of the following two typical non-commutative geometric means, that is, one is the higher order weighted geometric mean due to Lawson–Lim which is an extension of the Ando–Li–Mathias geometric mean, and the other is the weighted chaotic geometric mean. Among others, the Specht ratio plays an important role in our discussion, which is the upper bound of a ratio type reverse of the weighted arithmetic–geometric mean inequality. 相似文献