Seminaire de Probabilites XXXV

ISBN-13: 9783540416593 / Angielski / Miękka / 2001 / 384 str.

J. Azema; M. Emery

Opis

Researchers and graduate students in the theory of stochastic processes will find in this 35th volume some thirty articles on martingale theory, martingales and finance, analytical inequalities and semigroups, stochastic differential equations, functionals of Brownian motion and of Levy processes. Ledoux's article contains a self-contained introduction to the use of semigroups in spectral gaps and logarithmic Sobolev inequalities; the contribution by Emery and Schachermayer includes an exposition for probabilists of Vershik's theory of backward discrete filtrations."

Spis treści

M. Nagasawa, H. Tanaka: The principle of variation for relativistic quantum particles.
N. Privault: Quantum stochastic calculus for the uniform measure and Boolean convolution.
A. Phan: Martingales d'Azéma asymétriques. Description élémentaire et unicité.
T.-M. Chao, C.-S. Chou: Some remarks on the martingales satisfying the structure equation
(X,X)_t= t+/int_0^t/beta X_(s^-)/,dX_s.
D. Kurtz: Une caractérisation des martingales d'Azéma bidimensionnelles de type (II).
D. Kurtz, A. Phan: Correction à un article d'Attal et Émery sur les martingales d'Azéma bidimensionnelles.
M. Emery: A discrete approach to the chaotic representation property.
Y. Kabanov, C. Stricker: On equivalent martingale measures with bounded densities.
Y. Kabanov, C. Stricker: A teacher's note on no-arbitrage criteria.
P.J. Fitzsimmons: Hermite martingales.
M. Kuchta, M. Morayne, S. Solecki: A martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on strong differentiation of integrals.
L. Forzani, R. Scotto, W. Urbina: A simple proof of the L^p continuity of the higher order Riesz transforms with respect to the Gaussian measure gamma_d.
M. Ledoux: Logarithmic Sobolev inequalities for unbounded spin systems revisited.
R. Bass, E. Perkins: On the martingale problem for super-Brownian motion.
M. Barlow, K. Burdzy, H. Kaspi, A. Mandelbaum: Coalescence of skew Brownian motions.
N. Enriquez, J. Franchi, Y. Le Jan: Canonical lift and exit law of the fundamental diffusion associated with a Kleinian group.
J.-J. Alibert, K. Bahlali: Genericity in deterministic and stochastic differential equations.
A. Estrade, M. Pontier: Backward stochastic differential equations in a Lie group.
M. Malric: Filtrations quotients de la filtration brownienne.
M. Emery, W. Schachermayer: On Vershik's standardness criterion and Tsirelson's notion of cosiness.
F. Coquet, J. Mmin, L. Slominski: On weak convergence of filtrations.
N. Eisenbaum: Occupation times of Levy processes as quadratic variations.
L. Chaumont, D.G. Hobson, M. Yor: Some consequences of the cyclic exchangeability property for exponential functionals of Levy processes.
A.S. Cherny: Principal values of the integral functionals of Brownian motion: Existence, continuity and an extension of Ito's formula.
B. Rajeev: From Tanaka's formula to Ito's formula: Distributions, tensor products and local times.
N. Eisenbaum: On Ito's formula of Foellmer and Protter. L. Alili, H. Matsumoto, T. Shiraishi: On a triplet of exponential Brownian functionals.
P. Marchal: On a new Wiener-Hopf factorization by Alili and Doney.
N. Eisenbaum: Are squared Bessel bridges infinitely divisible?