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From Classical to Modern Probability

CIMPA Summer School 2001
BuchKartoniert, Paperback
220 Seiten
Englisch
Springererschienen am24.10.2012Softcover reprint of the original 1st ed. 2003
This volume is based on lectures notes for the courses delivered at the Cimpa Summer School: From Classical to Modern Probability, held at Temuco, Chile, be­ th th tween January 8 and 26 , 2001.mehr
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EUR53,49
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Produkt

KlappentextThis volume is based on lectures notes for the courses delivered at the Cimpa Summer School: From Classical to Modern Probability, held at Temuco, Chile, be­ th th tween January 8 and 26 , 2001.
Zusammenfassung
Covers a broad area in probability

Six courses given by leading experts

Topics from classical probability theory such as Brownian motion to modern developments such as spin systems and percolation

Clear exposition of each subject
Details
ISBN/GTIN978-3-0348-9422-7
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2012
Erscheinungsdatum24.10.2012
AuflageSoftcover reprint of the original 1st ed. 2003
Seiten220 Seiten
SpracheEnglisch
Gewicht373 g
IllustrationenXVI, 220 p.
Artikel-Nr.15399760

Inhalt/Kritik

Inhaltsverzeichnis
Asymptotic of the Heat Kernel in Unbounded Domains.- 1 Introduction.- 2 Ratio theorem for domains with harmonic cone C? of dimension 1.- 3 Benedicks domains.- References.- Spin Systems with Long Range Interactions.- 1 Ising spin systems.- 2 Phase transition.- 3 Time evolution.- References.- Nonlinear Dirichlet Problem and Nonlinear Integration.- 1 Generalities.- 2 Preliminaries on capacities.- 3 Radon capacities.- 4 Lusin capacities.- 5 Answering the questions and last words.- References.- First-Passage Percolation.- 1 The basic model and the shape model.- 2 Exponential bounds for large deviations.- 3 Bounds of moderate deviations.- References.- Central Limit Theorem for Markov Processes.- 1 Introduction.- 2 A warming-up example.- 3 Central limit theorem for Markov processs.- 4 Regularity of the diffusion coefficient.- References.- Stochastic Orders and Stopping Times in Brownian Motion.- 1 Introduction.- 2 Martingales and stochastic orders.- 3 Skorohod embeddings in standard Brownian motion.- 4 A maximal property of Azéma-Yor stopped Brownian motion.- 5 Practical description of the optimal stopping time for the look-back American put option problem.- References.mehr

Schlagworte