Lectures on Probability Theory and Statistics
Bertoin, Jean.
Lectures on Probability Theory and Statistics Ecole d’Eté de Probailités de Saint-Flour XXVII - 1997 / [electronic resource] : by Jean Bertoin, Fabio Martinelli, Yuval Peres ; edited by Pierre Bernard. - X, 298 p. online resource. - Lecture Notes in Mathematics, 1717 0075-8434 ; . - Lecture Notes in Mathematics, 1717 .
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 -- .....
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.
9783540481157
10.1007/b72002 doi
Distribution (Probability theory.
Mathematical statistics.
Probability Theory and Stochastic Processes.
Statistical Theory and Methods.
QA273.A1-274.9 QA274-274.9
519.2
Lectures on Probability Theory and Statistics Ecole d’Eté de Probailités de Saint-Flour XXVII - 1997 / [electronic resource] : by Jean Bertoin, Fabio Martinelli, Yuval Peres ; edited by Pierre Bernard. - X, 298 p. online resource. - Lecture Notes in Mathematics, 1717 0075-8434 ; . - Lecture Notes in Mathematics, 1717 .
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 -- .....
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.
9783540481157
10.1007/b72002 doi
Distribution (Probability theory.
Mathematical statistics.
Probability Theory and Stochastic Processes.
Statistical Theory and Methods.
QA273.A1-274.9 QA274-274.9
519.2