عنوان

Spatial branching processes, random snakes, and partial differential equations

شابک

0817661263

شابک

3764361263

شابک

9780817661267

شابک

9783764361266

شماره

b541621

عنوان اصلي

Spatial branching processes, random snakes, and partial differential equations

نام عام مواد

[Book]

نام نخستين پديدآور

Jean-François Le Gall.

محل نشرو پخش و غیره

Basel ; Boston

نام ناشر، پخش کننده و غيره

Birkhäuser

تاریخ نشرو بخش و غیره

©1999.

نام خاص و کميت اثر

viii, 162 Seiten : Diagramme ; 24 cm.

عنوان فروست

Lectures in mathematics ETH Zürich.

متن يادداشت

I An Overview.- I.1 Galton-Watson processes and continuous-state branching processes.- I.2 Spatial branching processes and superprocesses.- I.3 Quadratic branching and the Brownian snake.- I.4 Some connections with partial differential equations.- I.5 More general branching mechanisms.- I.6 Connections with statistical mechanics and interacting particle systems.- II Continuous-state Branching Processes and Superprocesses.- II.1 Continuous-state branching processes.- II.2 Superprocesses.- II.3 Some properties of superprocesses.- II.4 Calculations of moments.- III The Genealogy of Brownian Excursions.- III.1 The Ito excursion measure.- III.2 Binary trees.- III.3 The tree associated with an excursion.- III.4 The law of the tree associated with an excursion.- III.5 The normalized excursion and Aldous' continuum random tree.- IV The Brownian Snake and Quadratic Superprocesses.- IV.1 The Brownian snake.- IV.2 Finite-dimensional marginals of the Brownian snake.- IV.3 The connection with superprocesses.- IV.4 The case of continuous spatial motion.- IV.5 Some sample path properties.- IV.6 Integrated super-Brownian excursion.- V Exit Measures and the Nonlinear Dirichlet Problem.- V.1 The construction of the exit measure.- V.2 The Laplace functional of the exit measure.- V.3 The probabilistic solution of the nonlinear Dirichlet problem.- V.4 Moments of the exit measure.- VI Polar Sets and Solutions with Boundary Blow-up.- VI.1 Solutions with boundary blow-up.- VI.2 Polar sets.- VI.3 Wiener's test for the Brownian snake.- VI.4 Uniqueness of the solution with boundary blow-up.- VII The Probabilistic Representation of Positive Solutions.- VII.1 Singular solutions and boundary polar sets.- VII.2 Some properties of the exit measure from the unit disk.- VII.3 The representation theorem.- VII.4 Further developments.- VIII Levy Processes and the Genealogy of General Continuous-state Branching Processes.- VIII.1 The discrete setting.- VIII.2 Levy processes.- VIII.3 The height process.- VIII.4 The exploration process.- VIII.5 Proof of Theorem 2.- Bibliographical Notes.

موضوع مستند نشده

Stochastische partielle Differentialgleichung.

موضوع مستند نشده

Verzweigungsprozess -- Stochastischer Prozess.

موضوع مستند نشده

Verzweigungsprozess.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Jean-François Le Gall.

مستند نام اشخاص تاييد نشده

Jean-François Le Gall

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y