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Autore: | Bernard P (Pierre), <1944-> |
Titolo: | Lectures on probability theory and statistics : Ecole d'Ete de probabilites de Saint-Flour XXVII - 1997 / / Pierre Bernard [and three others] |
Pubblicazione: | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1999] |
©1999 | |
Edizione: | 1st ed. 1999. |
Descrizione fisica: | 1 online resource (X, 298 p.) |
Disciplina: | 530.475 |
Soggetto topico: | Brownian motion processes |
Ising model | |
Lattice theory | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di contenuto: | 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 -- ..... |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Lectures on probability theory and statistics |
ISBN: | 3-540-48115-X |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910144901103321 |
Lo trovi qui: | Univ. Federico II |
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