In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside th...In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside the sphere or the region bounded by concentric spheres.展开更多
A class of superprocesses which dies out is investigated.Under the condition of norextinction, a new superprocess is constructed,its life time is infinite, and its distribution is determined by the moment function. Se...A class of superprocesses which dies out is investigated.Under the condition of norextinction, a new superprocess is constructed,its life time is infinite, and its distribution is determined by the moment function. Several limit theorems about this superprocess and its occupation time process are obtained.展开更多
文摘In this paper, the authors compute the explicit formulas for the joint distributions of thehitting time and place for a sphere or concentric spherical shell by Brownian motion, when theprocess starts either outside the sphere or the region bounded by concentric spheres.
文摘A class of superprocesses which dies out is investigated.Under the condition of norextinction, a new superprocess is constructed,its life time is infinite, and its distribution is determined by the moment function. Several limit theorems about this superprocess and its occupation time process are obtained.
