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Lectures on Probability Theory and Statistics : Ecole d'Ete de Probabilities de Saint-Flour XXVII - 1997.
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Lectures on Probability Theory and Statistics : Ecole d'Ete de Probabilities de Saint-Flour XXVII - 1997.

Author: J Bertoin; F Marinelli; Y Peres; Pierre Bernard
Publisher: New York : Springer Jan. 2000.
Series: Lecture Notes in Mathematics, vol. 1717.
Edition/Format:   eBook : Document : English
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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Bertoin; F Marinelli; Y Peres; Pierre Bernard
ISBN: 9783540665939 3540665935
OCLC Number: 466133250
Target Audience: Scholarly & Professional
Description: 1 online resource (IX, 289 p.)
Contents: Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword.- Elements on subordinators.- Regenerative property.- Asymptotic behaviour of last passage times.- Rates of growth of local time.- Geometric properties of regenerative sets.- Burgers equation with Brownian initial velocity.- Random covering.- Levy processes.- Occupation times of a linear Brownian motion.- Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction.- Gibbs Measures of Lattice Spin Models.- The Glauber Dynamics.- One Phase Region.- Boundary Phase Transitions.- Phase Coexistence.- Glauber Dynamics for the Dilute Ising Model.- Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface.- Basic Definitions and a Few Highlights.- Galton-Watson Trees.- General percolation on a connected graph.- The first-Moment method.- Quasi-independent Percolation.- The second Moment Method.- Electrical Networks.- Infinite Networks.- The Method of Random Paths.- Transience of Percolation Clusters.- Subperiodic Trees.- The Random Walks RW (lambda) .- Capacity.-.Intersection-Equivalence.- Reconstruction for the Ising Model on a Tree,- Unpredictable Paths in Z and EIT in Z3.- Tree-Indexed Processes.- Recurrence for Tree-Indexed Markov Chains.- Dynamical Pecsolation.- Stochastic Domination Between Trees.
Series Title: Lecture Notes in Mathematics, vol. 1717.

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