共查询到20条相似文献，搜索用时 15 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.
In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions. 相似文献
3.
We define an analogue of the Caldero-Chapoton map for the cluster category of finite-dimensional nilpotent representations over a cyclic quiver. We prove that it is a cluster character and satisfies some inductive formulas for the multiplication between the generalized cluster variables (the images of objects of the cluster category under this map). Moreover, we construct a ?
4.
The lump solutions and interaction solutions are mainly investigated for the
5.
Yongtao LIU 《Frontiers of Mathematics in China》2021,16(3):783
By using the perpetual cutoff method, we prove two discrete versions of gradient estimates for bounded Laplacian on locally finite graphs with exception sets under the condition of
6.
7.
Haisheng LI 《Frontiers of Mathematics in China》2011,6(4):707-730
We associate quantum vertex algebras and their ϕ-coordinated quasi modules to certain deformed Heisenberg algebras. 相似文献
8.
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
9.
We reconsider the continuity of the Lyapunov exponents for a class of smooth Schrödinger cocycles with a
10.
Masayoshi Takeda 《Journal of Theoretical Probability》2008,21(2):336-355
We establish the large deviation principle for additive functionals of symmetric α-stable processes employing the Gärtner-Ellis theorem. 相似文献
11.
Mufa Chen 《数学学报(英文版)》1999,15(3):353-370
This paper deals with the Nash inequalities and the related ones for general symmetric forms which can be very much unbounded.
Some sufficient conditions in terms of the isoperimetric inequalities and some necessary conditions for the inequalities are
presented. The resulting conditions can be sharp qualitatively as illustrated by some examples. It turns out that for a probability
measure, the Nash inequalities are much stronger than the Poincaré and the logarithmic Sobolev inequalities in the present
context.
Research supported in part by NSFC (No. 19631060), Math. Tian Yuan Found., Qiu Shi Sci. & Tech. Found., RFDP and MCME 相似文献
12.
Rodrigo Bañ uelos Krzysztof Bogdan 《Proceedings of the American Mathematical Society》2005,133(12):3581-3587
We identify the critical exponent of integrability of the first exit time of the rotation invariant stable Lévy process from a parabola-shaped region.
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14.
In this paper, a stochastic SEIS epidemic model with a saturation incidence rate and a time delay describing the latent period of the disease is investigated. The model inherits the endemic steady state from its corresponding deterministic counterpart. We first show the existence and uniqueness of the global positive solution of the model. Then, by constructing Lyapunov functionals, we derive sufficient conditions ensuring the stochastic stability of the endemic steady state. Numerical simulations are carried out to confirm our analytical results. Furthermore, our simulation results shows that the existence of noise and delay may cause the endemic steady state to be unstable. 相似文献
15.
Shiliang ZHAO 《数学年刊B辑(英文版)》2018,39(6):1001-1016
Let M be a complete non-compact Riemannian manifold satisfying the volume doubling property and the Gaussian upper bounds. Denote by △ the Laplace-Beltrami operator and by ▽ the Riemannian gradient. In this paper, the author proves the weighted reverse inequality ‖△ 1/2 f‖Lp(ω) ≤ C‖|▽f|‖Lp(ω), for some range of p determined by M and w. Moreover, a weak type estimate is proved when p = 1. Some weighted vector-valued inequalities are also established. 相似文献
16.
We consider a branching random walk with an absorbing barrier, where the associated one-dimensional random walk is in the domain of attraction of an α-stable law. We shall prove that there is a barrier and a critical value such that the process dies under the critical barrier, and survives above it. This generalizes previous result in the case that the associated random walk has finite variance. 相似文献
17.
Let μ be a positive Kato measure on associated with the Green kernel of the transient symmetric α‐stable process, the Markov process with generator (). Let be the positive continuous additive functional in the Revuz correspondence with μ. If, in addition, μ is of compact support, we give exact large time asymptotics of the expectation of the Feynman–Kac functional, . 相似文献
18.
Muhammad Amer Latif 《Journal of Applied Analysis & Computation》2017,7(4):1478-1487
In this paper, we present some corrections to definitions of $m$-preinvex, $left( alpha,mright) $-preinvex functions and statements of the theorems of the results proved in [7]. 相似文献
19.
On the Quasi-regularity of Semi-Dirichlet Forms 总被引：2，自引：0，他引：2
We prove that if a right Markov process is associated with a semi-Dirichlet form, then the form is necessarily quasi-regular. As applications, we develop the theory of Revuz measures in the semi-Dirichlet context and we show that quasi-regularity is invariant with respect to time change. 相似文献
20.
Zhi Shui HU Chun SU 《数学学报(英文版)》2007,23(7):265-1270
Let {X（t）, t ≥ 0} be a Lévy process with EX（1） = 0 and EX^2（1） 〈 ∞. In this paper, we shall give two precise asymptotic theorems for {X（t）, t 〉 0}. By the way, we prove the corresponding conclusions for strictly stable processes and a general precise asymptotic proposition for sums of i.i.d. random variables. 相似文献