Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997 (Lecture Notes in Mathematics, Vol. 1717)

Bertoin, J.; Martinelli, F.; Peres, Y.

ISBN 10: 3540665935 / ISBN 13: 9783540665939

Published by Springer, 1999

About this Item

Seller Inventory # I-9783540665939

Bibliographic Details

• Title: Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997 (Lecture Notes in Mathematics, Vol. 1717)
• Publisher: Springer
• Publication Date: 1999
• Language: English
• ISBN 10: 3540665935
• ISBN 13: 9783540665939
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Introduces the basic notions and properties of subordinators, such as the Levy-Khintchine formula, Itos decomposition, renewal measures, and ranges. Softcover.

From the Back Cover

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.- Lévy 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.