相关期刊:《Applied Mathematics and Mechanics(English Edition)》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>
Consider a supercritical superprocess X = {Xt, t 〉~ O} on a locally compact separable metric space (E, m). Suppose that the spatial motion of X is a Hunt process satisfying certain conditions and that the branching...
The hh-transforms of positivity preserving semigroups and their associated Markov processes are investigated in this paper. In particular, it is shown that any quasi-regular positivity preserving coercive form is hh-a...
supported by National Natural Science Foundation of China (Grant No. 10471003, 10871103)
We simply call a superprocess conditioned on non-extinction a conditioned superprocess. In this study, we investigate some properties of the conditioned superprocesses (subcritical or critical). Firstly, we give an eq...
The author studies the h-transforms of symmetric Markov processes and corresponding Dirichlet spaces, and also discusses the drift transformation of Fukushima and Takeda’s type[2] and improves their result by a diffe...
Let (H, B, u) be an abstract Wiener space. New spaces of test functionals and distributions having kernels of the chaos decomposition in (Hn,n>0) are constructed. Their counterparts over Rm are completely characterize...
In this paper the complete double-series in the closed region expressing the double-variable functions and their partial derivatives are derived by the H-transforniution and Stockes transformation. Using the double-se...