共查询到20条相似文献,搜索用时 46 毫秒
1.
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
2.
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
3.
Let be a Kähler surface and be a -symplectic critical surface in . If is bounded for some , then we give a uniform upper bound for the Kähler angle on . This bound only depends on and the functional of . For , this estimate is known and we extend the scope of . 相似文献
4.
Let E be a proper class of triangles in a triangulated category C, and let (A, B, C) be a recollement of triangulated categories. Based on Beligiannis's work, we prove that A and C have enough E-projective objects whenever B does. Moreover, in this paper, we give the bounds for the E-global dimension of B in a recollement (A, B, C) by controlling the behavior of the E-global dimensions of the triangulated categories A and C: In particular, we show that the finiteness of the E-global dimensions of triangulated categories is invariant with respect to the recollements of triangulated categories. 相似文献
5.
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
6.
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
7.
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
8.
9.
We construct the Grothendieck rings of a class of 2n2dimensional semisimple Hopf Algebras H2n2,which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H2n2-modules are classified.Furthermore,we describe the Grothendieck rings r(H2n2)by generators and relations explicitly. 相似文献
10.
Constructing some proper functional spaces, we obtain the corresponding norm for the operator (-.L)^-1, and then, via spectral theory, we revisit two variational formulas of the spectral gap, given by M. F. Chen [Front. Math. China, 2010, 5(3): 379-515], for transient birth-death processes. 相似文献
11.
Stirring-exclusion processes are exclusion processes with particles being stirred. We investigate a tagged particle among a Bernoulli product environment measure on the lattice ? d .We show the strong law of large numbers and the central limit theorem for the tagged particle. The proof of the central limit theorem is based on the method of martingale decomposition with a sector condition. 相似文献
12.
Complex Hermitian Clifford analysis emerged recently as a refinement of the theory of several complex variables, while at the same time, the theory of bicomplex numbers motivated by the bicomplex version of quantum mechanics is also under full development. This stimulates us to combine the Hermitian Clifford analysis with the theory of bicomplex number so as to set up the theory of bicomplex Hermitian Clifford analysis. In parallel with the Euclidean Clifford analysis, the bicomplex Hermitian Clifford analysis is centered around the bicomplex Hermitian Dirac operator | D : C ∞ ( R 4 n , W 4 n ) → C ∞ ( R 4 n , W 4 n ) , where W 4 n is the tensor product of three algebras, i.e., the hyperbolic quaternion B ^ , the bicomplex number B , and the Clifford algebra R n . The operator D is a square root of the Laplacian in R 4 n , introduced by the formula D | = ∑ j = 0 3 K j ? Z j with K j being the basis of B ^ , and ? Z j denoting the twisted Hermitian Dirac operators in the bicomplex Clifford algebra B ? R 0,4 n whose definition involves a delicate construction of the bicomplexWitt basis. The introduction of the operator D can also overturn the prevailing opinion in the Hermitian Clifford analysis in the complex or quaternionic setting that the complex or quaternionic Hermitiean monogenic functions are described by a system of equations instead of by a single equation like classical monogenic functions which are null solutions of Dirac operator. In contrast to the Hermitian Clifford analysis in quaternionic setting, the Poisson brackets of the twisted real Clifford vectors do not vanish in general in the bicomplex setting. For the operator D , we establish the Cauchy integral formula, which generalizes the Martinelli-Bochner formula in the theory of several complex variables. 相似文献
13.
14.
15.
Motivated by τ -tilting theory developed by T. Adachi, O. Iyama, I. Reiten, for a nite-dimensional algebra Λ with action by a nite group G; we introduce the notion of G-stable support τ -tilting modules. Then we establish bijections among G-stable support τ -tilting modules over Λ ; G-stable two-term silting complexes in the homotopy category of bounded complexes of nitely generated projective Λ -modules, and G-stable functorially nite torsion classes in the category of nitely generated left Λ -modules. In the case when Λ is the endomorphism of a G-stable cluster-tilting object T over a Hom-nite 2-Calabi-Yau triangulated category ℓ with a G-action, these are also in bijection with G-stable cluster-tilting objects in ℓ : Moreover, we investigate the relationship between stable support τ -tilitng modules over Λ and the skew group algebra Λ G: 相似文献
16.
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
17.
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
18.
Xingsong ZHANG Mingquan WEI Dunyan YAN Qianjun HE 《Frontiers of Mathematics in China》2020,15(1):215-223
We will prove that for 1
相似文献
19.
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
20.
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