Probability Towards 2000 (eBook, PDF)

Redaktion: Accardi, L.; Heyde, C. C.

• Format: PDF

Produktbeschreibung

Senior probabilists with widely differing specialities give their visions of the state of their speciality, why they think it is important, and how they think it will develop as we approach the new millenium. This book will be of great interest to all people working in probability theory.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 356
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461222248
• Artikelnr.: 44181293

Inhaltsangabe

Non-linear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis.- Trends and open problems in the theory of random dynamical systems.- Probability and Statistics: Selfdecomposability, finance and turbulence.- Some thoughts on extreme values.- Stochastic positive flows and quantum filtering dynamics.- Stein's method: Some perspectives with applications.- Trilogy of couplings and general formulas for lower bound of spectral gap.- Stochasticity and chaos.- Decoupling inequalities: A second generation of martingale inequalities.- Stochastic differential equations on manifolds.- Extending flows of classical Markov processes to quantum flows in Foch space.- Quantum stochastic analysis after four decades.- Perfect simulation for the area interaction point-process.- Quantum probability seen by a classical probabilist.- Stochastic anticipating calculus.- Foundation of entropy, complexity and fractals in quantum systems.- Dirichlet forms on infinite dimensional 'manifold-like' state spaces: A survey of recent results and some prospects for the future.- Quantum stochastic calculus and applications - a review.- Coupling.- Some recent developments for queueing networks.