000 01868nam a2200277Ia 4500
003 OSt
005 20250716121408.0
008 220909b |||||||| |||| 00| 0 eng d
020 _a9783642150036
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB281N07 Q1;1 TB
_qCSL
100 _a Zenghu Li
_eauthor.
_9815734
245 0 _aMeasure-Valued Branching Markov Processes
260 _aBerlin :
_bSpringer-Verlag,
_c2011.
300 _axi, 350p.
490 _aProbability and Its Applications
500 _aIncludes References 333-344p.and Index 345-350p.
520 _aMeasure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups.The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
650 _aMathematics.
650 _aMeasure-valued branching Markov processes.
_9815735
650 _aProbability.
650 _aStatistics.
942 _hB281N07 Q1;1 TB
_cTEXL
_2CC
_n0
999 _c6263
_d6263