Lectures on Probability Theory and Statistics

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

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

308 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.- .....

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Angewandte Mathematik Stochastik
• ISBN: 9783540665939
• Sprache: Englisch
• Erscheinungsdatum: 17.11.1999
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: Pierre Bernard