語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Measure-valued branching Markov proc...
~
Li, Zenghu.
FindBook
Google Book
Amazon
博客來
Measure-valued branching Markov processes
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Measure-valued branching Markov processes/ by Zenghu Li.
作者:
Li, Zenghu.
出版者:
Berlin, Heidelberg :Springer Berlin Heidelberg : : 2022.,
面頁冊數:
xv, 475 p. :ill., digital ;24 cm.
內容註:
Preface to the Second Edition -- Preface to the First Edition -- Conventions and Notations -- 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 Kuznetsov Measures -- 9. Structures of Independent Immigration -- 10. One-Dimensional Stochastic Equations -- 11. Path-Valued Processes and Stochastic Flows -- 12. State-Dependent Immigration Structures -- 13. Generalized Ornstein-Uhlenbeck Processes -- 14. Small-Branching Fluctuation Limits -- A. Markov Processes -- References -- Subject Index -- Symbol Index.
Contained By:
Springer Nature eBook
標題:
Branching processes. -
電子資源:
https://doi.org/10.1007/978-3-662-66910-5
ISBN:
9783662669105
Measure-valued branching Markov processes
Li, Zenghu.
Measure-valued branching Markov processes
[electronic resource] /by Zenghu Li. - Second edition. - Berlin, Heidelberg :Springer Berlin Heidelberg :2022. - xv, 475 p. :ill., digital ;24 cm. - Probability theory and stochastic modelling,v. 1032199-3149 ;. - Probability theory and stochastic modelling ;v. 103..
Preface to the Second Edition -- Preface to the First Edition -- Conventions and Notations -- 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 Kuznetsov Measures -- 9. Structures of Independent Immigration -- 10. One-Dimensional Stochastic Equations -- 11. Path-Valued Processes and Stochastic Flows -- 12. State-Dependent Immigration Structures -- 13. Generalized Ornstein-Uhlenbeck Processes -- 14. Small-Branching Fluctuation Limits -- A. Markov Processes -- References -- Subject Index -- Symbol Index.
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein-Uhlenbeck type processes. Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic construction of a special class of such processes, the Dawson-Watanabe superprocesses, which includes the finite-dimensional continuous-state branching process as an example. Under natural assumptions, it is shown that the superprocesses have Borel right realizations. Transformations are then used to derive the existence and regularity of several different forms of the superprocesses. This technique simplifies the constructions and gives useful new perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The second part investigates immigration structures associated with the measure-valued branching processes. The structures are formulated by skew convolution semigroups, which are characterized in terms of infinitely divisible probability entrance laws. A theory of stochastic equations for one-dimensional continuous-state branching processes with or without immigration is developed, which plays a key role in the construction of measure flows of those processes. The third part of the book studies a class of Ornstein-Uhlenbeck type processes in Hilbert spaces defined by generalized Mehler semigroups, which arise naturally in fluctuation limit theorems of the immigration superprocesses. This volume is aimed at researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
ISBN: 9783662669105
Standard No.: 10.1007/978-3-662-66910-5doiSubjects--Topical Terms:
646787
Branching processes.
LC Class. No.: QA274.76 / .L5 2022
Dewey Class. No.: 519.233
Measure-valued branching Markov processes
LDR
:03656nmm a2200373 a 4500
001
2308176
003
DE-He213
005
20230313134521.0
006
m d
007
cr nn 008maaau
008
230526s2022 gw s 0 eng d
020
$a
9783662669105
$q
(electronic bk.)
020
$a
9783662669099
$q
(paper)
024
7
$a
10.1007/978-3-662-66910-5
$2
doi
035
$a
978-3-662-66910-5
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA274.76
$b
.L5 2022
072
7
$a
PBT
$2
bicssc
072
7
$a
PBWL
$2
bicssc
072
7
$a
MAT029000
$2
bisacsh
072
7
$a
PBT
$2
thema
072
7
$a
PBWL
$2
thema
082
0 4
$a
519.233
$2
23
090
$a
QA274.76
$b
.L693 2022
100
1
$a
Li, Zenghu.
$3
3614157
245
1 0
$a
Measure-valued branching Markov processes
$h
[electronic resource] /
$c
by Zenghu Li.
250
$a
Second edition.
260
$a
Berlin, Heidelberg :
$c
2022.
$b
Springer Berlin Heidelberg :
$b
Imprint: Springer,
300
$a
xv, 475 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Probability theory and stochastic modelling,
$x
2199-3149 ;
$v
v. 103
505
0
$a
Preface to the Second Edition -- Preface to the First Edition -- Conventions and Notations -- 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 Kuznetsov Measures -- 9. Structures of Independent Immigration -- 10. One-Dimensional Stochastic Equations -- 11. Path-Valued Processes and Stochastic Flows -- 12. State-Dependent Immigration Structures -- 13. Generalized Ornstein-Uhlenbeck Processes -- 14. Small-Branching Fluctuation Limits -- A. Markov Processes -- References -- Subject Index -- Symbol Index.
520
$a
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein-Uhlenbeck type processes. Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic construction of a special class of such processes, the Dawson-Watanabe superprocesses, which includes the finite-dimensional continuous-state branching process as an example. Under natural assumptions, it is shown that the superprocesses have Borel right realizations. Transformations are then used to derive the existence and regularity of several different forms of the superprocesses. This technique simplifies the constructions and gives useful new perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The second part investigates immigration structures associated with the measure-valued branching processes. The structures are formulated by skew convolution semigroups, which are characterized in terms of infinitely divisible probability entrance laws. A theory of stochastic equations for one-dimensional continuous-state branching processes with or without immigration is developed, which plays a key role in the construction of measure flows of those processes. The third part of the book studies a class of Ornstein-Uhlenbeck type processes in Hilbert spaces defined by generalized Mehler semigroups, which arise naturally in fluctuation limit theorems of the immigration superprocesses. This volume is aimed at researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
650
0
$a
Branching processes.
$3
646787
650
0
$a
Markov processes.
$3
532104
650
1 4
$a
Probability Theory.
$3
3538789
650
2 4
$a
Stochastic Processes.
$3
906873
650
2 4
$a
Markov Process.
$3
3538809
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
830
0
$a
Probability theory and stochastic modelling ;
$v
v. 103.
$3
3614158
856
4 0
$u
https://doi.org/10.1007/978-3-662-66910-5
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9448291
電子資源
11.線上閱覽_V
電子書
EB QA274.76 .L5 2022
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入