Lectures on Probability Theory and Statistics Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997 /

• Main Authors: Bertoin, J. (Author, http://id.loc.gov/vocabulary/relators/aut), Martinelli, F. (http://id.loc.gov/vocabulary/relators/aut), Peres, Y. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Bernard, Pierre (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1717
• Subjects: Probabilities.; Statistics .; Probability Theory and Stochastic Processes.; Statistical Theory and Methods.

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.- Ran...

Table of Contents:

• From the contents: 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
• 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
• 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
• .....