Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997: 1717 1999th Edition

Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997: 1717 1999th Edition book cover

Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII – 1997: 1717 1999th Edition

Author(s): J. Bertoin (Author), F. Martinelli (Author), Y. Peres (Author), Pierre Bernard (Editor)

  • Publisher: Springer
  • Publication Date: 17 Nov. 1999
  • Edition: 1999th
  • Language: English
  • Print length: 308 pages
  • ISBN-10: 3540665935
  • ISBN-13: 9783540665939

Editorial Reviews

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.

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