000 03051nam a22004575i 4500
001 978-3-642-15004-3
003 DE-He213
005 20140220083746.0
007 cr nn 008mamaa
008 101110s2011 gw | s |||| 0|eng d
020 _a9783642150043
_9978-3-642-15004-3
024 7 _a10.1007/978-3-642-15004-3
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aLi, Zenghu.
_eauthor.
245 1 0 _aMeasure-Valued Branching Markov Processes
_h[electronic resource] /
_cby Zenghu Li.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXI, 350 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProbability and Its Applications,
_x1431-7028
505 0 _aPreface -- 1. Random Measures on Metric Spaces -- 2. Measure-valued Branching Processes -- 3. One-dimensional Branching Processes -- 4. Branching Particle Systems -- 5. Basic Regularities of Superprocesses -- 6. Constructions by Transformations -- 7. Martingale Problems of Superprocesses -- 8. Entrance Laws and Excursion Laws -- 9. Structures of Independent Immigration -- 10. State-dependent Immigration Structures -- 11. Generalized Ornstein-Uhlenbeck Processes -- 12. Small Branching Fluctuation Limits -- 13. Appendix: Markov Processes -- Bibliography -- Index.
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 0 _aMathematics.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642150036
830 0 _aProbability and Its Applications,
_x1431-7028
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-15004-3
912 _aZDB-2-SMA
999 _c107015
_d107015