共查询到20条相似文献,搜索用时 31 毫秒
1.
We consider anRd-valued discrete time branching random walk in an independent and identically distributed environment indexed by time n∈N.Let Wn(z)(z∈Cd)be the natural complex martingale of the process.We show necessary and sufficient conditions for the Lα-convergence of Wn(z)forα>1,as well as its uniform convergence region. 相似文献
2.
Weili YAO 《Frontiers of Mathematics in China》2020,15(1):205-213
Let f be a holomorphic Hecke cusp form with even integral weight k≥2 for the full modular group,and letχbe a primitive Dirichlet character modulo q.Let Lf(s,χ)be the automorphic L-function attached to f andχ-We study the mean-square estimate of Lf(s,χ)and establish an asymptotic formula. 相似文献
3.
Xie-Bin CHEN 《Frontiers of Mathematics in China》2019,14(6):1117
We consider the problem of existence of a Hamiltonian cycle containing a matching and avoiding some edges in an n-cube , and obtain the following results. Let , and with . If M is a matching and every vertex is incident with at least two edges in the graph , then all edges of M lie on a Hamiltonian cycle in . Moreover, if or , then the upper bound of number of faulty edges tolerated is sharp. Our results generalize the well-known result for . 相似文献
4.
We study a superminimal surface M immersed into a hyperquadric Q2 in several cases classified by two global defined functions and , which were introduced by X. X. Jiao and J. Wang to study a minimal immersion f : . In case both and are not identically zero, it is proved that f is superminimal if and only if f is totally real or is also minimal, where is the standard inclusion map. In the rest case that or , the minimal immersion f is automatically superminimal. As a consequence, all the superminimal two-spheres in Q2 are completely described. 相似文献
5.
Let := be the Siegel-type nilpotent group, which can be identified as the Shilov boundary of Siegel domain of type II, where denotes the set of all Hermitian matrices. In this article, we use singular convolution operators to define Radon transform on and obtain the inversion formulas of Radon transforms. Moveover, we show that Radon transform on is a unitary operator from Sobolev space Wn;2 into L2( ): 相似文献
6.
Let(C,E,s)be an extriangulated category with a proper classξof E-triangles,and W an additive full subcategory of(C,E,s).We provide a method for constructing a proper W(ξ)-resolution(resp.,coproper W(ξ)-coresolution)of one term in an E-triangle inξfrom that of the other two terms.By using this way,we establish the stability of the Gorenstein category GW(ξ)in extriangulated categories.These results generalize the work of Z.Y.Huang[J.Algebra,2013,393:142–169]and X.Y.Yang and Z.C.Wang[Rocky Mountain J.Math.,2017,47:1013–1053],but the proof is not too far from their case.Finally,we give some applications about our main results. 相似文献
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8.
We bring in Landau-Lifshitz-Bloch equation on m-dimensional closed Riemannian manifold and prove that it admits a unique local solution. When and the initial data in -norm is suciently small, the solution can be extended globally. Moreover, for , we can prove that the unique solution is global without assuming small initial data. 相似文献
9.
Consider a time-inhomogeneous branching random walk, generated by the point process Ln which composed by two independent parts: ‘branching’offspring Xn with the mean for and ‘displacement’ with a drift for , where the ‘branching’ process is supercritical for B>0 but ‘asymptotically critical’ and the drift of the ‘displacement’ is strictly positive or negative for but ‘asymptotically’ goes to zero as time goes to infinity. We find that the limit behavior of the minimal (or maximal) position of the branching random walk is sensitive to the ‘asymptotical’ parameter and . 相似文献
10.
For n = 2 or 3 and , we study the oscillatory hyper Hilbert transform along an appropriate variable curve in (namely, is a curve in for each fixed x), where . We obtain some boundedness theorems of , under some suitable conditions on and . These results are extensions of some earlier theorems. However, is not a convolution in general. Thus, we only can partially employ the Plancherel theorem, and we mainly use the orthogonality principle to prove our main theorems. 相似文献
11.
Zhao XU 《Frontiers of Mathematics in China》2020,15(5):1070
For a fixed even SL( ) Hecke{Maass form f, we get an estimate for the second moment of at special points, where runs over an orthogonal basis of Hecke{Maass cusp forms for . 相似文献
12.
We establish sharp functional inequalities for time-changed symmetric -stable processes on with and , which yield explicit criteria for the compactness of the associated semigroups. Furthermore, when the time change is defined via the special function with we obtain optimal Nash-type inequalities, which in turn give us optimal upper bounds for the density function of the associated semigroups. 相似文献
13.
We study the derivative operator of the generalized spherical mean S^γt. By considering a more general multiplier m^Ωγ,b=Vn-2/2+γ(|ξ|)|ξ|^bΩ(ξ') and finding the smallest γ such that m^Ωγ,b is an Hp multiplier, we obtain the optimal range of exponents (γ,β,p)to ensure the H^p(R^n) boundedness of a^βS^γ1f(x). As an application, we obtain the derivative estimates for the solution for the Cauchy problem of the wave equation on H^p(R^n) spaces. 相似文献
14.
Let denote the twisted N = 1 Schrodinger-Neveu-Schwarz algebra over the complex field . In this paper, we determine the superskewsymmetric super-biderivations of . Furthermore, we prove that every super-skewsymmetric super-biderivation of is inner. 相似文献
15.
Xingsong ZHANG Mingquan WEI Dunyan YAN Qianjun HE 《Frontiers of Mathematics in China》2020,15(1):215-223
We will prove that for 1
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16.
Let and let the Bessel operator defined on . We show that the oscillation and -variation operators of the Riesz transform associated with are bounded on BMO , where and . Moreover, we construct a -atom as a counterexample to show that the oscillation and -variation operators of are not bounded from to . Finally, we prove that the oscillation and the -variation operators for the smooth truncations associated with Bessel operators are bounded from to . 相似文献
17.
Let ■ be a k-uniform hypergraph on n vertices with degree sequence △= d1≥…≥ dn =δ. In this paper, in terms of degree di , we give some upper bounds for the Z-spectral radius of the signless Laplacian tensor (Q(■)) of ■. Some examples are given to show the efficiency of these bounds. 相似文献
18.
For a supercritical branching processes with immigration ; it is known that under suitable conditions on the offspring and immigration distributions, Zn/mn converges almost surely to a finite and strictly positive limit, where m is the offspring mean. We are interested in the limiting properties of with as . We give asymptotic behavior of such lower deviation probabilities in both Schröder and Böttcher cases, unifying and extending the previous results for Galton-Watson processes in literature. 相似文献
19.
We give a two sided estimate on the spectral gap for the Boltzmann measures μh on the circle. We prove that the spectral gap is greater than 1 for any and the spectral gap tends to the positive infinity as with speed . 相似文献