J. Bertoin, F. Martinelli, Y. Peres

Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997
Herausgeber: Bernard, Pierre

• Broschiertes Buch

Produktbeschreibung

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
- .....

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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 ofRandom 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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Produktdetails

• Lecture Notes in Mathematics 1717
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-66593-9
• 1999.
• Seitenzahl: 308
• Erscheinungstermin: 17. November 1999
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 472g
• ISBN-13: 9783540665939
• ISBN-10: 3540665935
• Artikelnr.: 09195690

Inhaltsangabe

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.- .....