Branching random walks [Documento electrónico] / Zhan Shi : École d'Été de Probabilités de Saint-Flour XLII – 2012
Language: eng.Country: US - United States of America.Publication: Cham : Springer International Publishing, 2015Description: X, 133 p. 8 il.ISBN: 978-3-319-25372-5.Series: École d'été de probabilités de saint-flourSubject - Topical Name: 6798Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA273.SPR FCT 96432 Fractal geometry and stochastics V | QA273 SPR FCT 96444 Queues and Lévy fluctuation theory | QA273.SPR FCT 96538 Poisson point processes and their application to Markov processes | QA273.SPR FCT 96556 Branching random walks, École d'Été de Probabilités de Saint-Flour XLII – 2012 | QA273.SPR FCT 96590 Stable convergence and stable limit theorems | QA273 .SPR FCT 96596 Stochastic calculus and applications | QA273.SPR FCT 96601 In memoriam Marc Yor , séminaire de probabilités XLVII |
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Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time. Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees. .
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