Lectures on probability theory and statistics
Subtitle: Ecole d'été de probabilités de Saint-Flour XXVII, 1997
By: J. Bertoin, F. Martinelli, Y. Peres ; editor, P. Bernard.
Contributors: Bertoin, Jean.; Martinelli, F.; Peres, Y.; Bernard, P. 1944-; Bertoin, Jean.; Martinelli, F.; Peres, Y.
Series: Lecture notes in mathematics -- 1717; Lecture notes in mathematics (Springer-Verlag) -- 1717.
Publisher: Springer
Published: 2000
Place of publication: Berlin; New York
Language: eng
Number of pages: 289
Subjects: Stochastic processes -- Congresses; Lévy processes -- Congresses; Brownian motion processes -- Congresses; Rotational motion -- Congresses; Lattice theory -- Congresses; Ising model -- Congresses; Trees (Graph theory) -- Congresses; Random walks (Mathematics) -- Congresses
Genres: Congresses.; Congresses
Description: 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.
Notes: "Lectures given at the Saint-Flour Summer School of Probability Theory during the period 7th-23rd July, 1997"--Introd.

Includes bibliographical references.
Table of contents: title: Subordinators : examples and applications / Jean Bertoin; title: Lectures on Glauber dynamics for discrete spin models / Fabio Martinelli; title: Probability on trees : an introductory climb / Yuval Peres.