Verfügbarkeit: Spatial branching in random environments and with interaction /

Spatial branching in random environments and with interaction /:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Englander, Janos (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Hackensack, New Jersey : World Scientific, [2014]
Schriftenreihe:	Advanced series on statistical science & applied probability ; vol. 20.
Schlagworte:	Mathematical statistics. Branching processes. Law of large numbers. Processus ramifiés. Loi des grands nombres. MATHEMATICS > Applied. MATHEMATICS > Probability & Statistics > General. Branching processes Law of large numbers Mathematical statistics
Online-Zugang:	Volltext
Beschreibung:	1 online resource (xv, 270 pages)
Bibliographie:	Includes bibliographical references.
ISBN:	9789814569842 9814569844

Internformat

MARC


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100	1		\|a Englander, Janos, \|e author. \|0 http://id.loc.gov/authorities/names/no2013118169
245	1	0	\|a Spatial branching in random environments and with interaction / \|c by Janos Englander, University of Colorado Boulder, USA.
264		1	\|a Hackensack, New Jersey : \|b World Scientific, \|c [2014]
264		4	\|c ©2014
300			\|a 1 online resource (xv, 270 pages)
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490	1		\|a Advanced series on statistical science and applied probability ; \|v vol. 20
504			\|a Includes bibliographical references.
588	0		\|a Print version record.
505	8		\|a ""1.7.4 The Ornstein-Uhlenbeck process""""1.7.5 Transition measures and h-transform""; ""1.8 Ito-integral and SDEâ€?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 Î»c""; ""1.11 Some more criticality theory""
505	0		\|a ""Contents""; ""Preface""; ""1. Preliminaries: Diffusion, spatial branching and Poissonian obstacles""; ""1.1 Notation, terminology""; ""1.2 A bit of measure theory""; ""1.3 Gronwallâ€?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 Levyâ€?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 PDEâ€?s; semigroups""; ""1.7.3 Further properties""
505	8		\|a ""1.12 Poissonian obstacles""""1.12.1 Wiener-sausage and obstacles""; ""1.12.2 â€?Annealedâ€? and â€?quenchedâ€?; â€?softâ€? and â€?hardâ€?""; ""1.13 Branching""; ""1.13.1 The critical case; Kolmogorovâ€?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 Î»c <â?ž""; ""1.14.4 The branching Markov property; general case""; ""1.14.5 Further properties""
505	8		\|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
505	8		\|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""
650		0	\|a Mathematical statistics. \|0 http://id.loc.gov/authorities/subjects/sh85082133
650		0	\|a Branching processes. \|0 http://id.loc.gov/authorities/subjects/sh85016395
650		0	\|a Law of large numbers. \|0 http://id.loc.gov/authorities/subjects/sh85075318
650		6	\|a Processus ramifiés.
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
650		7	\|a Law of large numbers \|2 fast
650		7	\|a Mathematical statistics \|2 fast
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. \|0 http://id.loc.gov/authorities/names/n97121977
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contents	""1.7.4 The Ornstein-Uhlenbeck process""""1.7.5 Transition measures and h-transform""; ""1.8 Ito-integral and SDEâ€?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 Î»c""; ""1.11 Some more criticality theory"" ""Contents""; ""Preface""; ""1. Preliminaries: Diffusion, spatial branching and Poissonian obstacles""; ""1.1 Notation, terminology""; ""1.2 A bit of measure theory""; ""1.3 Gronwallâ€?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 Levyâ€?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 PDEâ€?s; semigroups""; ""1.7.3 Further properties"" ""1.12 Poissonian obstacles""""1.12.1 Wiener-sausage and obstacles""; ""1.12.2 â€?Annealedâ€? and â€?quenchedâ€?; â€?softâ€? and â€?hardâ€?""; ""1.13 Branching""; ""1.13.1 The critical case; Kolmogorovâ€?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 Î»c <â?ž""; ""1.14.4 The branching Markov property; general case""; ""1.14.5 Further properties"" 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 ""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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series	Advanced series on statistical science & applied probability ;
series2	Advanced series on statistical science and applied probability ;
spelling	Englander, Janos, author. http://id.loc.gov/authorities/names/no2013118169 Spatial branching in random environments and with interaction / by Janos Englander, University of Colorado Boulder, USA. Hackensack, New Jersey : World Scientific, [2014] ©2014 1 online resource (xv, 270 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Advanced series on statistical science and applied probability ; vol. 20 Includes bibliographical references. Print version record. ""1.7.4 The Ornstein-Uhlenbeck process""""1.7.5 Transition measures and h-transform""; ""1.8 Ito-integral and SDEâ€?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 Î»c""; ""1.11 Some more criticality theory"" ""Contents""; ""Preface""; ""1. Preliminaries: Diffusion, spatial branching and Poissonian obstacles""; ""1.1 Notation, terminology""; ""1.2 A bit of measure theory""; ""1.3 Gronwallâ€?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 Levyâ€?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 PDEâ€?s; semigroups""; ""1.7.3 Further properties"" ""1.12 Poissonian obstacles""""1.12.1 Wiener-sausage and obstacles""; ""1.12.2 â€?Annealedâ€? and â€?quenchedâ€?; â€?softâ€? and â€?hardâ€?""; ""1.13 Branching""; ""1.13.1 The critical case; Kolmogorovâ€?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 Î»c <â?ž""; ""1.14.4 The branching Markov property; general case""; ""1.14.5 Further properties"" 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 ""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"" Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Branching processes. http://id.loc.gov/authorities/subjects/sh85016395 Law of large numbers. http://id.loc.gov/authorities/subjects/sh85075318 Processus ramifiés. Loi des grands nombres. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Branching processes fast Law of large numbers fast Mathematical statistics fast Print version: Englander, Janos. Spatial branching in random environments and with interaction 9789814569835 (DLC) 2014014879 (OCoLC)861554302 Advanced series on statistical science & applied probability ; vol. 20. http://id.loc.gov/authorities/names/n97121977 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925633 Volltext
spellingShingle	Englander, Janos Spatial branching in random environments and with interaction / Advanced series on statistical science & applied probability ; ""1.7.4 The Ornstein-Uhlenbeck process""""1.7.5 Transition measures and h-transform""; ""1.8 Ito-integral and SDEâ€?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 Î»c""; ""1.11 Some more criticality theory"" ""Contents""; ""Preface""; ""1. Preliminaries: Diffusion, spatial branching and Poissonian obstacles""; ""1.1 Notation, terminology""; ""1.2 A bit of measure theory""; ""1.3 Gronwallâ€?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 Levyâ€?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 PDEâ€?s; semigroups""; ""1.7.3 Further properties"" ""1.12 Poissonian obstacles""""1.12.1 Wiener-sausage and obstacles""; ""1.12.2 â€?Annealedâ€? and â€?quenchedâ€?; â€?softâ€? and â€?hardâ€?""; ""1.13 Branching""; ""1.13.1 The critical case; Kolmogorovâ€?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 Î»c <â?ž""; ""1.14.4 The branching Markov property; general case""; ""1.14.5 Further properties"" 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 ""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"" Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Branching processes. http://id.loc.gov/authorities/subjects/sh85016395 Law of large numbers. http://id.loc.gov/authorities/subjects/sh85075318 Processus ramifiés. Loi des grands nombres. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Branching processes fast Law of large numbers fast Mathematical statistics fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85082133 http://id.loc.gov/authorities/subjects/sh85016395 http://id.loc.gov/authorities/subjects/sh85075318
title	Spatial branching in random environments and with interaction /
title_auth	Spatial branching in random environments and with interaction /
title_exact_search	Spatial branching in random environments and with interaction /
title_full	Spatial branching in random environments and with interaction / by Janos Englander, University of Colorado Boulder, USA.
title_fullStr	Spatial branching in random environments and with interaction / by Janos Englander, University of Colorado Boulder, USA.
title_full_unstemmed	Spatial branching in random environments and with interaction / by Janos Englander, University of Colorado Boulder, USA.
title_short	Spatial branching in random environments and with interaction /
title_sort	spatial branching in random environments and with interaction
topic	Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Branching processes. http://id.loc.gov/authorities/subjects/sh85016395 Law of large numbers. http://id.loc.gov/authorities/subjects/sh85075318 Processus ramifiés. Loi des grands nombres. MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Branching processes fast Law of large numbers fast Mathematical statistics fast
topic_facet	Mathematical statistics. Branching processes. Law of large numbers. Processus ramifiés. Loi des grands nombres. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Branching processes Law of large numbers Mathematical statistics
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=925633
work_keys_str_mv	AT englanderjanos spatialbranchinginrandomenvironmentsandwithinteraction

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