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|a 922952154
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|a 9789814569842
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|z 9789814569835
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|q alk. paper)
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|q alk. paper)
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|b .E54 2014eb
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|2 23
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|a UAMI
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|a Englander, Janos,
|e author.
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1 |
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|a Spatial branching in random environments and with interaction /
|c by Janos Englander, University of Colorado Boulder, USA.
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| 264 |
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1 |
|a Hackensack, New Jersey :
|b World Scientific,
|c [2014]
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| 264 |
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4 |
|c ©2014
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| 300 |
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|a 1 online resource (xv, 270 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Advanced series on statistical science and applied probability ;
|v vol. 20
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| 504 |
|
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|a Includes bibliographical references.
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| 588 |
0 |
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|a Print version record.
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| 505 |
8 |
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|a ""1.7.4 The Ornstein-Uhlenbeck process""""1.7.5 Transition measures and h-transform""; ""1.8 Ito-integral and SDE�s""; ""1.8.1 The Bessel process and a large deviation result for Brownian motion""; ""1.9 Martingale change of measure""; ""1.9.1 Changes of measures, density process, uniform integrability""; ""1.9.2 Two particular changes of measures: Girsanov and Poisson""; ""1.10 The generalized principal eigenvalue for a second order elliptic operator""; ""1.10.1 Smooth bounded domains""; ""1.10.2 Probabilistic representation of λc""; ""1.11 Some more criticality theory""
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|a ""Contents""; ""Preface""; ""1. Preliminaries: Diffusion, spatial branching and Poissonian obstacles""; ""1.1 Notation, terminology""; ""1.2 A bit of measure theory""; ""1.3 Gronwall�s inequality""; ""1.4 Markov processes""; ""1.5 Martingales""; ""1.5.1 Basics""; ""1.5.2 Estimates for the absolute moments""; ""1.6 Brownian motion""; ""1.6.1 The measure theoretic approach""; ""1.6.2 Levy�s approach""; ""1.6.3 Some more properties of Brownian motion""; ""1.7 Diffusion""; ""1.7.1 Martingale problem, L-diffusion""; ""1.7.2 Connection to PDE�s; semigroups""; ""1.7.3 Further properties""
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| 505 |
8 |
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|a ""1.12 Poissonian obstacles""""1.12.1 Wiener-sausage and obstacles""; ""1.12.2 �Annealed� and �quenched�; �soft� and �hard�""; ""1.13 Branching""; ""1.13.1 The critical case; Kolmogorov�s result""; ""1.13.2 The supercritical case; Kesten-Stigum Theorem""; ""1.13.3 Exponential branching clock""; ""1.14 Branching diffusion""; ""1.14.1 When the branching rate is bounded from above""; ""1.14.2 The branching Markov property""; ""1.14.3 Requiring only that λc <�""; ""1.14.4 The branching Markov property; general case""; ""1.14.5 Further properties""
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|a 1.14.6 Local extinction1.14.7 Four useful results on branching diffusions -- 1.14.8 Some more classes of elliptic operators/branching diffusions -- 1.14.9 Ergodicity -- 1.15 Super-Brownian motion and superdiffusions -- 1.15.1 Superprocess via its Laplace functional -- 1.15.2 The particle picture for the superprocess -- 1.15.3 Super-Brownian motion -- 1.15.4 More general branching -- 1.15.5 Local and global behavior -- 1.15.6 Space-time H-transform; weighted superprocess -- 1.16 Exercises -- 1.17 Notes
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| 505 |
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|a ""2. The Spine Construction and the SLLN for branching diffusions""""2.1 Setting""; ""2.2 Local extinction versus local exponential growth""; ""2.3 Some motivation""; ""2.4 The â€?spineâ€?""; ""2.4.1 The spine change of measure""; ""2.4.2 The â€?spine decompositionâ€? of the martingale WÏ?""; ""2.5 The Strong law""; ""2.5.1 The Lp-convergence of the martingale""; ""2.5.2 Proof of Theorem 2.2 along lattice times""; ""2.5.3 Replacing lattice times with continuous time""; ""2.5.4 Proof of the Weak Law (Theorem 2.3)""; ""2.6 Exercises""; ""2.7 Notes""; ""3. Examples of The Strong Law""
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
|
| 650 |
|
0 |
|a Mathematical statistics.
|
| 650 |
|
0 |
|a Branching processes.
|
| 650 |
|
0 |
|a Law of large numbers.
|
| 650 |
|
6 |
|a Processus ramifiés.
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| 650 |
|
6 |
|a Loi des grands nombres.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Applied.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
|
| 650 |
|
7 |
|a Branching processes.
|2 fast
|0 (OCoLC)fst00837866
|
| 650 |
|
7 |
|a Law of large numbers.
|2 fast
|0 (OCoLC)fst00994048
|
| 650 |
|
7 |
|a Mathematical statistics.
|2 fast
|0 (OCoLC)fst01012127
|
| 776 |
0 |
8 |
|i Print version:
|a Englander, Janos.
|t Spatial branching in random environments and with interaction
|z 9789814569835
|w (DLC) 2014014879
|w (OCoLC)861554302
|
| 830 |
|
0 |
|a Advanced series on statistical science & applied probability ;
|v vol. 20.
|
| 856 |
4 |
0 |
|u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925633
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