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81.
We study the equidistribution on spheres of the n-step transition probabilities of random walks on graphs. We give sufficient conditions for this property being satisfied and for the weaker property of asymptotical equidistribution. We analyze the asymptotical behaviour of the Green function of the simple random walk on 2 and we provide a class of random walks on Cayley graphs of groups, whose transition probabilities are not even asymptotically equidistributed. 相似文献
82.
程业斌 《高校应用数学学报(A辑)》1999,14(2):169-177
本文研究异方差回归模型Yi^(n)=g(xi^(n))+εi^(n),i=1,…,n,其中g是右实函数,xi^(n)是非随机设计点列,εi^(n)是随机误差,文中定义了一类g(x)的近邻型估计gn(x)=(n)∑(i=1)Wm(x)Yi^(n),得到了r阶平均相全和渐近正态性,特别,在(∞)∑(n=1)(n)∑(i=1)E/εi^(n)/^s/(ni)^s/r〈∞,maxE(1≤i≤n)/εi(^ 相似文献
83.
We analyze the free boson gas on a Cayley tree using two alternative methods. The spectrum of the lattice Laplacian on a finite tree is obtained using a direct iterative method for solving the associated characteristic equation and also using a random walk representation for the corresponding fermion lattice gas. The existence of the thermodynamic limit for the pressure of the boson lattice gas is proven and it is shown that the model exhibits boson condensation into the ground state. The random walk representation is also used to derive an expression for the Bethe approximation to the infinite-volume spectrum. This spectrum turns out to be continuous instead of a dense point spectrum, but there is still boson condensation in this approximation. 相似文献
84.
Summary For the determination of nifedipine in plasma a sensitive and selective method is required. The use of on-line pre-column enrichment, followed by reversed phase separation and UV-detection at 350 nm proved to be too susceptible. Therefore, detection was carried out after a post-column on-line reduction and photoreaction step using a fluorescence detector. Although this method proved to be extremely sensitive (limit of detection 0.1 ng/ml plasma) and selective, a number of problems cropped up caused by the reduction agent which finally prevented the procedure being used in routine analysis. As a consequence, the following method was developed. After liquid-liquid extraction of nifedipine a 1/3 of the extract was chromatographed on a normal phase (diOH) system and detected at 235 nm, because detection at 350 nm was not sensitive enough. This method has a limit of detection of 1 ng nifedipine/ml plasma and the calibration curve is linear up to 320 ng/ml. The recovery lies around 82% and the standard deviation for the range 6–320 ng/ml is less than 5%. So far about 2000 plasma samples have been analysed by this method. 相似文献
85.
Ananias M. Mariz Constantino Tsallis E. L. Albuquerque 《Journal of statistical physics》1985,40(3-4):577-592
We study the phase diagram for the Ising Model on a Cayley tree with competing nearest-neighbor interactionsJ
1 and next-nearest-neighbor interactionsJ
2 andJ
3 in the presence of an external magnetic field. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular cases, previous works by Vannimenus and by Inawashiroet al. At vanishing temperature, the phase diagram is fully determined, for all values and signs ofJ
2/J
1 andJ
3/J
2; in particular, we verify that values ofJ
3/J
2 high enough favor the paramagnetic phase. At finite temperatures, several interesting features (evolution of reentrances, separation of the modulated region into two disconnected pieces, etc.) are exhibited for typical values ofJ
2/J
1 andJ
3/J
2.Partially supported by the Brazilian Agencies CNPq and FINEP. 相似文献
86.
JianHuaSUN 《数学学报(英文版)》2005,21(1):65-80
In this paper we study the singularity at the origin with three-fold zero eigenvalue forsymmetric vector fields with nilpotent linear part and 3-jet C^∞-equivalent to y δ/δx zδ/δy ax^2yδ/δz with a≠0. We first obtain several subfamilies of the symmetric versal unfoldings of this singularityby using the normal form and blow-up methods under some conditions, and derive the local and global bifurcation behavior, then prove analytically the existence of the Sil‘nikov homoclinic bifurcation for some subfamilies of the symmetric versal unfoldings of this singularity, by using the generalized Mel‘nikov methods of a homoclinic orbit to a hyperbolic or non-hyperbolic equilibrium in a highdimensional space. 相似文献
87.
Let G be a simple Lie group of real rank one, with Iwasawa decomposition and Bruhat big cell . Then the space may be (almost) identified with N and with K/M, and these identifications induce the (generalised) Cayley transform . We show that is a conformal map of Carnot-Caratheodory manifolds, and that composition with the Cayley transform, combined with multiplication by appropriate powers of the Jacobian, induces isomorphisms of Sobolev spaces and . We use this to construct uniformly bounded and slowly growing representations of G. 相似文献
88.
Farruh M Mukhamedov 《Indagationes Mathematicae》2004,15(1):85-99
We consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ? p) model on the Cayley tree of order k ≥ 1. It is proved that a phase transition occurs at k = 2, q ? p and p ≥ 3 (resp. q ? 22, p = 2). It is established that for p-adic Potts model at k ≥ 3 a phase transition may occur only at q ? p if p ≥ 3 and q ? 22 if p = 2. 相似文献
89.
A. Babakhani 《Journal of Mathematical Analysis and Applications》2003,278(2):434-442
Existence of positive solutions for the nonlinear fractional differential equation Dsu(x)=f(x,u(x)), 0<s<1, has been studied (S. Zhang, J. Math. Anal. Appl. 252 (2000) 804-812), where Ds denotes Riemann-Liouville fractional derivative. In the present work we study existence of positive solutions in case of the nonlinear fractional differential equation:
L(D)u=f(x,u),u(0)=0,0<x<1, 相似文献
90.
The Rayleigh–Taylor instability (RTI) of a ferrofluid has been the subject of recent research, because of its implications on the stability of stellar and planetary interiors. This paper analyzes the effects of rotation and magnetic field on nonlinear RTI of two superposed ferrofluids. It is considered that the system is subjected to uniform parallel rotation and normal magnetic field. Surface tension acts at the interface. The method of multiple scales is utilized to obtain the solutions and dispersion relations are obtained for the nonlinear problem of RTI of magnetic fluids. Finally the stability of the problem is discussed. 相似文献