共查询到20条相似文献,搜索用时 15 毫秒
1.
Liu Quan-sheng 《数学年刊B辑(英文版)》1989,10(2):214-220
The paper considers the random L-Dirichlet seriesf(s,ω)=sum from n=1 to ∞ P_n(s,ω)exp(-λ_ns)and the random B-Dirichlet seriesψτ_0(s,ω)=sum from n=1 to ∞ P_n(σ iτ_0,ω)exp(-λ_ns),where {λ_n} is a sequence of positive numbers tending strictly monotonically to infinity, τ_0∈R is a fixed real number, andP_n(s,ω)=sum from j=1 to m_n ε_(nj)a_(nj)s~ja random complex polynomial of order m_n, with {ε_(nj)} denoting a Rademacher sequence and {a_(nj)} a sequence of complex constants. It is shown here that under certain very general conditions, almost all the random entire functions f(s,ω) and ψ_(τ_0)(s,ω) have, in every horizontal strip, the same order, given byρ=lim sup((λ_nlogλ_n)/(log A_n~(-1)))whereA_n=max |a_(nj)|.Similar results are given if the Rademacher sequence {ε_(nj)} is replaced by a steinhaus seqence or a complex normal sequence. 相似文献
2.
Zheng Yan LIN Sung Chul LEE 《数学学报(英文版)》2006,22(2):535-544
Let {Xn,n ≥ 0} be an AR(1) process. Let Q(n) be the rescaled range statistic, or the R/S statistic for {Xn} which is given by (max1≤k≤n(∑j=1^k(Xj - ^-Xn)) - min 1≤k≤n(∑j=1^k( Xj - ^Xn ))) /(n ^-1∑j=1^n(Xj -^-Xn)^2)^1/2 where ^-Xn = n^-1 ∑j=1^nXj. In this paper we show a law of iterated logarithm for rescaled range statistics Q(n) for AR(1) model. 相似文献
3.
Doklady Mathematics - Let 0 < α, σ < 1 be arbitrary fixed constants, let $${{q}_{1}} < {{q}_{2}} < \ldots < {{q}_{n}} < {{q}_{{n + 1}}}$$... 相似文献
4.
Doklady Mathematics - We study the operator $$\mathcal{A}$$ acting in $${{l}^{2}}(\mathbb{Z})$$ by the formula $${{(\mathcal{A}u)}_{l}} = {{u}_{{l + 1}}} + {{u}_{{l - 1}}} + \lambda {{e}^{{ - 2\pi... 相似文献
5.
Doklady Mathematics - We study the infinite linear independence of polyadic numbers $${{f}_{0}}(\lambda ) = \sum\limits_{n = 0}^\infty {{(\lambda )}_{n}}{{\lambda }^{n}}$$ , f1(λ) =... 相似文献
6.
Zheng Songmu 《数学年刊B辑(英文版)》1983,4(2):177-186
By means of the supersolution and subsolution method and monotone iteration technique, the following nonlinear elliptic boundary problem with the nonlocal boundary conditions is considerd. The sufficient conditions which ensure at least one solution are given. Furthermore, the estimate of the first nonzero eigenvalue for the following linear eigenproblem is obtained, that is λ_1≥2α/(nd~2). 相似文献
7.
Analysis Mathematica - Let $$\left\{ {{M_k}} \right\}_{k = 1}^\infty \subset {M_2}(\mathbb{Z})$$ be a sequence of expanding matrices and $$\left\{ {{D_k}} \right\}_{k = 1}^\infty $$ be a sequence... 相似文献
8.
Doklady Mathematics - Let $${{V}_{r}}({{\mathbb{R}}^{n}})$$, n ≥ 2, be the set of functions $$f \in {{L}_{{{\text{loc}}}}}({{\mathbb{R}}^{n}})$$ with zero integrals over all balls in... 相似文献
9.
Qin Tiehu 《数学年刊B辑(英文版)》1988,9(3):251-269
The paper deals with the following boundary problem of the second order quasilinear hyperbolic equation with a dissipative boundary condition on a part of the boundary:u_(tt)-sum from i,j=1 to n a_(ij)(Du)u_(x_ix_j)=0, in (0, ∞)×Ω,u|Γ_0=0,sum from i,j=1 to n, a_(ij)(Du)n_ju_x_i+b(Du)u_t|Γ_1=0,u|t=0=φ(x), u_t|t=0=ψ(x), in Ω, where Ω=Γ_0∪Γ_1, b(Du)≥b_0>0. Under some assumptions on the equation and domain, the author proves that there exists a global smooth solution for above problem with small data. 相似文献
10.
11.
Journal of Algebraic Combinatorics - The well-known Worpitzky identity $$\begin{aligned} (x+1)^n = \sum \limits _{k=0}^{n-1} A_{n,k} {{x+n-k} \atopwithdelims (){n}} \end{aligned}$$ provides a... 相似文献
12.
F. Feo 《Journal of Evolution Equations》2009,9(3):491-509
In this paper we study a class of parabolic initial boundary value problems relative to an operator whose the prototype is
where W(x) is a smooth function and Z is a constant. We obtain an estimate of the solution comparing it with the solution to a problem relative to the operator
where is the density of Gauss measure, is a function related to g and the data depend only on the time variable and the first space variable. 相似文献
13.
Self-dual 2–forms on
play a fundamental role in gauge theory. For generalized Seiberg-Witten theory (and for some other purposes in mathematical
physics) a notion of self-duality of 2–forms on
is needed. There are several definitions, but the one given by [Bilge, Dereli, Ko?ak ; JMP 38(9), 1997] is intimately related
with Clifford algebras. They defined a 2–form
to be self-dual if the anti-symmetric matrix Ω = (ωij) satisfies Ω2 = λ I for a scalar λ and proved that the space
of such forms is non-linear with dimension n2 − n + 1, but contains maximal linear subspaces with dimension the Radon-Hurwitz number of (2n). It is important to have an algorithm for construction of such maximal linear subspaces and we give an explicit one with
the help of representations of Clifford algebras on
whereby we show that the representations given by the standart recursion formulas are anti-symmetric. 相似文献
14.
A. I. Molev 《Selecta Mathematica, New Series》2005,12(1):1-38
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including
the quantized algebra of functions on GLN and the Yangian for
$$ \mathfrak{g}\mathfrak{l}_{{N}} $$ . We prove a version of this theorem for the twisted Yangians
$$ {\text{Y(}}\mathfrak{g}_{N} {\text{)}} $$associated with the orthogonal and symplectic Lie algebras
$$ \mathfrak{g}_{N} = \mathfrak{o}_{N} {\text{ or }}\mathfrak{s}\mathfrak{p}_{N} $$. This gives rise to representations of
the twisted Yangian
$$ {\text{Y}}{\left( {\mathfrak{g}_{{N - M}} } \right)} $$ on the space of homomorphisms
$$ {\text{Hom}}_{{\mathfrak{g}_{M} }} {\left( {W,V} \right)} $$, where W and V are finite-dimensional irreducible modules over
$$ \mathfrak{g}_{{M}} {\text{ and }}\mathfrak{g}_{{N}} $$, respectively. In the symplectic case these representations turn
out to be irreducible and we identify them by calculating the corresponding Drinfeld polynomials.We also apply the quantum
Sylvester theorem to realize the twisted Yangian as a projective limit of certain centralizers in universal enveloping algebras. 相似文献
15.
Let H be a Hilbert space and A, B: H ⇉ H two maximal monotone operators. In this paper, we investigate the properties of the following proximal type algorithm:
where (λ
n
) is a sequence of positive steps. Algorithm may be viewed as the discretized equation of a nonlinear oscillator subject to friction. We prove that, if 0 ∈ int (A(0)) (condition of dry friction), then the sequence (x
n
) generated by is strongly convergent and its limit x
∞ satisfies 0 ∈ A(0) + B(x
∞). We show that, under a general condition, the limit x
∞ is achieved in a finite number of iterations. When this condition is not satisfied, we prove in a rather large setting that
the convergence rate is at least geometrical. 相似文献
16.
A. I. Molev 《Selecta Mathematica, New Series》2006,12(1):1-38
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including
the quantized algebra of functions on GL
N
and the Yangian for
$$ \mathfrak{g}\mathfrak{l}_{{N}} $$ . We prove a version of this theorem for the twisted Yangians
$$ {\text{Y(}}\mathfrak{g}_{N} {\text{)}} $$associated with the orthogonal and symplectic Lie algebras
$$ \mathfrak{g}_{N} = \mathfrak{o}_{N} {\text{ or }}\mathfrak{s}\mathfrak{p}_{N} $$. This gives rise to representations of
the twisted Yangian
$$ {\text{Y}}{\left( {\mathfrak{g}_{{N - M}} } \right)} $$ on the space of homomorphisms
$$ {\text{Hom}}_{{\mathfrak{g}_{M} }} {\left( {W,V} \right)} $$, where W and V are finite-dimensional irreducible modules over
$$ \mathfrak{g}_{{M}} {\text{ and }}\mathfrak{g}_{{N}} $$, respectively. In the symplectic case these representations turn
out to be irreducible and we identify them by calculating the corresponding Drinfeld polynomials.We also apply the quantum
Sylvester theorem to realize the twisted Yangian as a projective limit of certain centralizers in universal enveloping algebras. 相似文献
17.
Doklady Mathematics - We consider sparse sample covariance matrices with sparsity probability $${{p}_{n}} \geqslant {{c}_{0}}{{\log }^{{\frac{2}{\varkappa }}}}n{\text{/}}n$$ with $$\varkappa... 相似文献
18.
Computational Mathematics and Mathematical Physics - An algorithm is proposed for solving the $${{P}_{1}}$$ system for acceleration corrections that arises in constructing a $$K{{P}_{1}}$$ scheme... 相似文献
19.
We consider the question of evaluating the normalizing multiplier $$\gamma _{n,k} = \frac{1}{\pi }\int_{ - \pi }^\pi {\left( {\frac{{sin\tfrac{{nt}}{2}}}{{sin\tfrac{t}{2}}}} \right)^{2k} dt} $$ for the generalized Jackson kernel J n,k (t). We obtain the explicit formula $$\gamma _{n,k} = 2\sum\limits_{p = 0}^{\left[ {k - \tfrac{k}{n}} \right]} {( - 1)\left( {\begin{array}{*{20}c} {2k} \\ p \\ \end{array} } \right)\left( {\begin{array}{*{20}c} {k(n + 1) - np - 1} \\ {k(n - 1) - np} \\ \end{array} } \right)} $$ and the representation $$\gamma _{n,k} = \sqrt {\frac{{24}}{\pi }} \cdot \frac{{(n - 1)^{2k - 1} }}{{\sqrt {2k - 1} }}\left[ {1\frac{1}{8} \cdot \frac{1}{{2k - 1}} + \omega (n,k)} \right],$$ , where $$\left| {\omega (n,k)} \right| < \frac{4}{{(2k - 1)\sqrt {ln(2k - 1)} }} + \sqrt {12\pi } \cdot \frac{{k^{\tfrac{3}{2}} }}{{n - 1}}\left( {1 + \frac{1}{{n - 1}}} \right)^{2k - 2} .$$ . 相似文献
20.
We use the Temperley-Lieb algebra to define a family of totally nonnegative polynomials of the form
. The cone generated by these polynomials contains all totally nonnegative polynomials of the form
, where,
are matrix minors. We also give new conditions on the sets I,...,K′ which characterize differences of products of minors which are totally nonnegative.
Received September 30, 2004 相似文献