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1.
Let
(t)(t ∈ R
+
N
) be the d-dimensional N-parameter generalized Brownian sheet. We study the polar sets for
(t). It is proved that for any a ∈ R
d
, P{
(t) = a, for some t ∈ R
>
N
} =
and the probability that
(t) has k-multiple points is 1 or 0 according as whether 2kN > d(k − 1)β or 2kN < d(k−1)α. These results contain and extend the results of the Brownian sheet, where R
>
N
= (0,+∞)
N
,R
+
N
=[10,+∞)
N
,0< α≤1 and β≥1.
Biography: LI Huiqiong (1966–), female, Associate professor, research direction: stochastic process and random fractal. 相似文献
2.
Let X t be the interaction measured_valued branching α_ symmetric stable process over R d(1<α≤2) constructed by Meleard_Roelly . Frist, it is shown that X t is absolutely continuous with respect to the Lebesgue measure (on R ) with a continuous density function which satisfies some SPDE. Second, it is proved that if the underlying process is a Brownian motion on R d (d≤3), the corresponding occupation_time process Y t is also absolutely continuous with respect to the Lebesgue measure. 相似文献
3.
Peng Zhigang 《武汉大学学报:自然科学英文版》1997,2(2):139-141
We proved ifk(z)∈H
q (q≥1),g(z) is analytic on |z|=1,
, thenk′(z)∈H
1, especially, ifq=1, thenk(z) is an analytic function on the closed unit disk |z|≤1.
Peng Zhigang: born in June 1970, Ph. D 相似文献
4.
Zhigeng Chen 《科学通报(英文版)》2000,45(4):304-313
Based on the prerequisite that the earliest acid rock formed because of the initial global expanding tectonic processes, by
combining it with other geological limitation conditions, and starting from the lithosphere elastic mechanics, the following
is defined: the earth expansion started at about 4300 Ma ago, the average increasing rate of the earth radius is 0.40 mm/a,
the initial expanding earth radius is 4651 km, and the initial global expansion of tectonic processes happened at 4183.7 Ma
ago. From the natural and attenuation evolution condition of the earth and terrestrial planets, through the limit condition
got from the combination of the mathematics logic and the geological significance, the limited expanding earth evolution model
is established as follows:
in whichR
0= 4.651×106 m,A =1.86×106 m, β = -6.01×10−10/ a andt
s=3×108 a. From this model the maximum radiusR
maxof the limited expanding earth evolution should be 6511 km. The earth’s radius increasing rate is about 0.1 mm/a at present. 相似文献
5.
6.
CHENG Lifang 《武汉大学学报:自然科学英文版》2013,18(2):93-96
In this paper, we use the coincidence degree theory to research the odd order delay differential equation a(t)χ(2n+1)(t)+b(t)χ(t)+g(t,-τ(t)))=p(t), and we obtain the sufficient conditions for the existence of periodic solutions, which improves and generalizes some related results in the literatures. 相似文献
7.
利用Schauder不动点定理讨论n阶非线性泛函微分方程x ̄(n)(t)+p(t)f(x(g(t)=r(t)正解全体的构成与正解的存在性. 相似文献
8.
Pulsed laser photolysis/laser-induced fluorescence (LP-LIF) is utilized to measure rate constants for C2(a3Πu) reactions with NO, N2O, O2, H2 and NH3. Multiphoton dissociation of C2Cl4 at 266 nm is employed for the generation of C2(a3Πu) radicals. The C2(a3Πu) concentration is monitored by the fluorescence of the (0, 0) band of the (d3Πg8596;a3Πu) transition at 516.5 nm. C2(a3Πu) removal rate constants for the reactions are determined as kNO = (5.46 ± 0.10) × 10-11 cm3 molecule-1 s-1 , kN2O = (1.63 ± 0.20) × 10-13 cm3 molecule-1 s-1 , kN2O = (1.58 ± 0.16) × 10-11 cm3 molecule-1 s-1, kO2 = (5.92 ± 1.00) × 10-14 cm3 molecule-1 s-1, kH2< 1.0× 10-14 cm3 molecule-1 s-1. Based on the data analysis and theoretical calculation, we suggest that the C2(a3Πu) reactions with H2 and NH3 proceed via the hydrogen abstraction mechanism, barriers exist at the entrance channel of the reactions of C2(a3Πu) with H2 and NH3. 相似文献
9.
It is well known that, the singular integral operatorS defined as:
ifL is a closed smooth contour in the complex plane C, thenS is a bounded linear operator fromH
μ(L) intoH
μ(L): ifL is an open smooth curve, thenS is just a linear operator fromH
* intoH
*. In this paper, we define a Banach space
, and prove that
is a bounded linear operator, then verify the boundedness of other kinds of singular integral operators.
Supported by the National Science Foundation of China
Wang Xiaolin: born in Aug. 1950, Professor 相似文献
10.
LetX be a complex quasi-Banach space and Φ:[0,∞)→[0,∞) an increasing convex function with Φ(0)=0,
and Φ∈Δ2. ThenL
Φ
*
(X) is a quasi-Banach space with continuous quasi-norm andL
Φ
*
(X) has the ARNP if and only ifX does.
Supported by the National Natural Science Foundation of China
Liu Peide: born in 1943, Professor 相似文献
11.
In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barrier term. Iteration bounds both for large-and small-update methods are derived, namely, and . This new kernel function has simple algebraic expression and the proximity function has not been used before. Analogous to the classical logarithmic kernel function, our complexity analysis is easier than the other primal-dual interior-point methods based on logarithmic barrier functions and recent kernel functions. 相似文献
12.
Suppose that A is an n × n positive definite Hemitain matrix. Let X and Y be n × p and n × q matrices (p+ q≤n), such that X* Y = 0. The following inequality is proved
X*AY( Y* AY)-Y Y*AX≤( (λ1-λn)/(λ1+λn))2 X*AX,
where λ1 and λn are respectively the largest and smallest eigenvalues of A, and M- stands for a generalized inverse of M. This inequality is an extension of the well-known Wielandt inequality in which both X and Y are vectors. The inequality is utilized to obtain some interesting inequalities about covari-ance matrix and various correlation coefficients including the canonical correlation, multiple and simple correlation. 相似文献
13.
The lighter chargino three body decays ~χ±1→~χ0 1ff ′ via the W^± boson and the charged Higgs boson H^± were studied in the R-parity conserved Minimal Supersymmetric Standard Model (MSSM). We treat ~χ±1 decays as production and decay of W^± and H^± i.e.,~χ±1→~χ01W^±(H^±) → χ0 1ff ′. Both higgsino- like and wino-like ~χ±1 decays were well investigated. These decays are calculated at 1-loop level and the loop corrections are found to be less than three percent. The signal of the charged Higgs H^± production from ~χ±1 decays is discussed. It will offer important information about the chargino and neutralino sector, as well as the charged Higgs sector in the MSSM. 相似文献
14.
HE Xiaoxia MING Ruixing HU Yijun 《武汉大学学报:自然科学英文版》2007,12(3):412-416
Let u ∈ R ,for any ω 〉 0, the processes X^ε = {X^ε(t); 0 ≤ t≤ 1} are governed by the following random evolution equations dX^ε(t)= b(X^ε(t),v(t))dt-εdSt/ε, where S={St; 0≤t≤1} is a compound Poisson process, the process v={v(t); 0≤t≤1} is independent of S and takes values in R^m. We derive the large deviation principle for{(X^ε,v(.)); ε〉0} when ε↓0 by approximation method and contraction principle, which will be meaningful for us to find out the path property for the risk process of this type. 相似文献
15.
In this paper,an exponential inequality for weighted sums of identically distributed NOD (negatively orthant dependent) random variables is established,by which we obtain the almost sure convergence rate of which reaches the available one for independent random variables in terms of Berstein type inequality. As application,we obtain the relevant exponential inequality for Priestley-Chao estimator of nonparametric regression estimate under NOD samples,from which the strong consistency rate is also obtained. 相似文献
16.
本文运用迭代法研究了带p-Laplacian算子的四阶Sturm-Liouville边值问题{(φp(u″(t)))″+q(t)f(t,u(t),u″(t))=0,t∈(0,1),αu(0)-βu′(0)=0,γu(1)+δu′(1)=0,u″(0)=0,u'(0)=0正解的存在性,其中φp(s)=|s|~(p-2)s,p1;f:[0,1]×[0,+∞)×R→[0,+∞)连续;q(t)0,t∈(0,1). 相似文献
17.
The water solubility in Al-Fe-Mg orthopyroxene [(Mg,Fe,Al)(Si,Al)O3: X Fe = 0.1] was investigated as a function of temperature and Al contents. Experiments were performed at 10 kbar with temperatures ranging from 800 to 1200°C under water-saturated conditions. Water contents in the (Mg,Fe)SiO3-H2O-Al2O3 system were determined using unpolarized Fourier transform infrared spectroscopy. The present results show that water solubility in Al-bearing orthopyroxene decreases systematically with temperature from approximately 1 weight % at 800°C to 568 ± 58 ppm at 1200°C and increase significantly with increasing Al2O3 contents under the same annealing temperature and pressure. Combined with published results on the dependence of hydroxyl solubility on water fugacity and pressure, the present results can be described by the relation $C_{OH} = A(T)f_{H_2 O}^{n = 0.5} \exp \left( { - \frac{{\Delta H^{1bar} + \Delta V^{solid} P}} {{RT}}} \right)$ where A = 0.0024 ± 0.0015 ppm/bar0.5, ΔH 1bar = ?103.348 ± 9.768 kJ/mol, and solid ΔV solid = 9.2 ± 1.1 cm3/mol. This equation implies that the incorporation mechanism of water in aluminous orthopyroxene involves the isolated OH groups. Based on the experimentally established solubility model used in this study, it is suggested that water solubility decreases with increasing temperature under typical upper mantle pressure. The predicted temperature dependence of water solubility is in good agreement with the previous experimental observations in Al-bearing orthopyroxene, but the opposite dependence is observed in Al-free systems. Moreover, our estimation of the water solubility in upper-mantle minerals as a function of depth for a typical oceanic geotherm might be of potential importance in interpreting the geophysical observations. 相似文献
18.
Gan Shixin 《武汉大学学报:自然科学英文版》1997,2(1):13-18
In this paper we prove the following Hàjek-Rènyi inequality: Let 0≤p≤1, then for any Banach spaceB, anyL
p integrableB valued random variable sequence {D
n
, n≥1}, any real number sequence {b
n
, n≥1} with 0<b
n, ↑ ∞, any integern≥1, there exist a constantC=C
p>0 (only depending onp) such that
In the other direction, we prove some strong laws of large numbers and the integrability of the maximal functions forB valued random variable sequences by using this inequality and the Hàjeck-Rènyi inequality we have obtained recently. Some
known results are extended and improved.
Supported by the National Natural Science Foundation of China and the State Education Commission PH. D Station Foundation
Gan Shixin: born in Feb. 1939, Professor 相似文献
19.
SU Xiaofang ZHANG Yiping 《武汉大学学报:自然科学英文版》2007,12(3):395-401
We consider the Poisson integral u = P*μ on the half-space R+^N+1 ( N 〉 1 ) (or on the unit ball of the complex plane) of some singular measureμ. If μ is an s-measure (0 〈 s 〈 N), then some sharp estimates of the integration of the harmonic function u near the boundary are given. In particular, we show that fpr p〉1,∫R^Nu^p(x,y)dx- y^-τ (y〉0,τ =(N-s)(p-1) ) (Given for p〉1, RN f 〉 0 and g 〉 0, " f-g " will mean that there exist constants C1 and C2, such that C1f ≤ g ≤ CEf ). 相似文献
20.
用渐近概周期函数法研究一类非线性微分方程:x′=A(t,x)x+g(t,x)的概周期解的存在唯一性,得到保证该方程存在唯一概周期的充分性条件. 相似文献