Lecture Notes in Mathematics

Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997

Authors: Bertoin, J., Martinelli, F., Peres, Y.

Editors: Bernard, Pierre (Ed.)

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About this book

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.

Table of contents (3 chapters)

  • Subordinators: Examples and Applications

    Bertoin, Jean

    Pages 1-91

  • Lectures on Glauber Dynamics for Discrete Spin Models

    Martinelli, Fabio

    Pages 93-191

  • Probability on Trees: An Introductory Climb

    Peres, Yuval

    Pages 193-280

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-48115-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-540-66593-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Probability Theory and Statistics
Book Subtitle
Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997
Authors
Editors
  • Pierre Bernard
Series Title
Lecture Notes in Mathematics
Series Volume
1717
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48115-7
DOI
10.1007/b72002
Softcover ISBN
978-3-540-66593-9
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 298
Topics