证明了由Méléard和Roelly引入的一类带有交互作用的测度值过程的马尔可夫性质,这种测度值过程被一维扩散的非线性pseudo-log-Laplace函数所刻画;并证明了这种超过程的概率特性.
The Markovian property of a special class of interactive measure-valued processes constructed by Meleard and Roelly was discussed. These measure-valued processes are characterized by their pseudo-log-Laplace functionals which are the nonlinear functionals of some 1-dimensional diffusions. Furthermore, some probabilistic prop- erties of this kind of superproeesses were giyen.