Séminaire de Probabilités XLV

Catherine Donati-Martin, Antoine Lejay, Alain Rouault, editors

The series of advanced courses initiated in Seminaire de Probabilites XXXIII continues with a course by Ivan Nourdin on Gaussian approximations using Malliavin calculus. The Seminaire also occasionally publishes a series of contributions on a unifying subject; in this spirit, selected participants to the September 2011 Conference on Stochastic Filtrations, held in Strasbourg and organized by Michel Emery, have also contributed to the present volume. The rest of the work covers a wide range of topics, such as stochastic calculus and Markov processes, random matrices and free probability, and combinatorial optimization.

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  • Special Course: I. Nourdin: Lectures on Gaussian approximations with Malliavin calculus.- Other Contributions: V. Prokaj: Some sufficient conditions for the ergodicity of the Levy-transformation.- S. Laurent: Vershik's intermediate level standardness criterion and the scale of an automorphism.- C. Dellacherie and M. Emery: Filtrations indexed by ordinals
  • application to a conjecture of S. Laurent.- M. Emery: A planar Borel set which divides every Borel product.- J. Brossard et C. Leuridan: Characterising Ocone local martingales with reflections.- H. Hashimoto: Approximation and stability of solutions of SDEs driven by a symmetric a stable process with non-Lipschitz coefficients.- C. Cuchiero and Josef Teichman: Path properties and regularity of affine processes on general state spaces.- E. Jacob: Langevin process reflected on a partially elastic boundary II.- R. Doney and S. Vakeroudis: Windings of planar stable processes.- A. Sokol: Elementary proof that the first hitting time of an open set by a jump process is a stopping time.- L. Doring and M. Roberts: Catalytic branching processes via spine techniques and renewal theory.- S. Bourguin and C. Tudor: Malliavin calculus and self normalized sums.- P. Catuogno, D. Ledesma and P. Ruffino: A note on stochastic calculus in vector bundles.- G. Pages: Functional co-monotony of processes with an application to peacocks.- S. Noreddine: Fluctuations of the traces of complex-valued iid random matrices.- J. Ortmann: Functionals of the Free Brownian motion.- L. Miclo and P. Monmarche': Etude de processus moins indecis que les autres.- F. Barthe and C. Bordenave: Combinatorial optimization over two random point sets.- I. Kortchemski: A simple proof of Duquesne's theorem on contour processes of conditioned Galton-Watson trees.

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書名 Séminaire de Probabilités XLV
著作者等 Donati-Martin, Catherine
Lejay, Antoine
Rouault, Alain
Séminaire de probabilités
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c2013
ページ数 viii, 558 p.
大きさ 24 cm
ISBN 9783319003207
ISSN 00758434
NCID BB13129485
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言語 フランス語
出版国 スイス