Seminar on Stochastic Processes, 1989

1990. Auflage 1990
ISBN: 978-0-8176-3457-5
Verlag: Birkhauser Boston

Buch, Englisch, Band 18, 216 Seiten, Gewicht: 475 g

Reihe: Progress in Probability

C. T. Shih R. Carmona F. Knight A. Sznitman W. Chen-Masters Y. Kwon M. Taksar K. L. Chung T. Kurtz L. Taylor E. Cinlar T. Liggett S. J. Taylor M. Cranston T. Lyons G. Terdik R. Dalang P. March E. Toby R. DanteDeBlassie M. Marcus R. Tribe R. Darling P. McGill J. Walsh D. Dawson T. Mountford J. Watkins J. Deuschel B. Oksendal S. Weinryb N. Dinculeanu V. Papanicolaou R. Williams R. Durrett R. Pemantle Z. Zhao E. B. Dynkin M. Penrose W. Zheng TABLEOFCONTENTS R. F. BASS Aprobabilisticproofoftheboundary 1 and K. BURDZY Harnackprinciple J. -D. DEUSCHEL LogarithmicSobolevinequalitiesof 17 symmetricdiffusions S. N. EVANS RescalingthevacancyofaBoolean coverageprocess 23 TheBlumenthal-Getoor-McKean P. J. FITZSIMMONS, R. K. GETOOR Theoremrevisited 35 andM. J. SHARPE P. J. FITZSIMMONS Localtimes,occupationtimes,andthe Lebesguemeasureoftherangeofa andS. C.

Zielgruppe

Research

Autoren/Hrsg.

Cinlar, E.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik

Inhaltsverzeichnis

A probabilistic proof of the boundary Harnack principle.- Logarithmic Sobolev inequalities of symmetric diffusions.- Rescaling the vacancy of a Boolean coverage process.- The Blumenthal-Getoor-McKean Theorem revisited.- Local times, occupation times, and the Lebesgue measure of the range of a Levy process.- Martingale problems associated with the Boltzmann equation.- Probabilistic methods in differential geometry.- Probabilistic methods in Schrödinger equations.- Stochastic variational principle of Schrödinger processes.- The high contact principle in optimal stopping and stochastic waves.- Continuity of solutions of Schrödinger equation.- Stationary solutions for bilinear systems with constant coefficients.- Gaugeability for unbounded domains.- Correction to: Some formulas for the energy functional of a Markov process.