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Mathematics - Probability Theory and Stochastic Processes | Lectures on Probability Theory and Statistics - Ecole d'Ete de Probabilites de Saint-Flour XXVII

Lectures on Probability Theory and Statistics

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

Series: Lecture Notes in Mathematics, Vol. 1717

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

Bernard, Pierre (Ed.)

1999, X, 298 p.

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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 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.

Content Level » Research

Keywords » Brownian motion - Lévy process - Markov chain - Moment - Probability theory - local time - probability - random walk - statistics

Related subjects » Probability Theory and Stochastic Processes - Statistical Theory and Methods

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