Séminaire de probabilités XL

Catherine Donati-Martin ... [et al.] (eds.)

Two noteworthy features of the 40th volume of "Seminaire de Probabilites" are L. Coutin's advanced course on calculus driven by fractional Brownian motion, and a series of seven interrelated works on local time-space calculus. Other topics from stochastic processes and stochastic finance include three contributions by A.S. Cherny on general approaches to arbitrage pricing.

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[目次]

  • Preface.- Specialized Course. Laure Coutin: An introduction to (stochastic) calculus with respect to fractional Brownian motion.- Local Time-Space Calculus. G. Peskir: A change-of-variable formula with local time on surfaces.- A. E. Kyprianou, B.A. Surya: A note on a change of variable formula with local time-space for Levy processes of bounded variation.- J. Najnudel: Integration with respect to local time and selfintersection of local time of a one-dimensional Brownian motion.- D. Elworthy, A. Truman, H. Zhao: Generalized Ito formulae and space-time Lebesgue-Stieltjes integrals of local time.- N. Eisenbaum: Local time-space calculus for reversible semimartingales.- F. Russo, P. Vallois: Elements of stochastic calculus via regularisation.- H. Pham: On the smooth-fit property for one-dimensional optimal switching problem.- Other contributions. I. Crimaldi, G. Letta, L. Pratelli: A strong form of stable convergence.- P. J. Catuogno, P. R. C. Ruffino: Product of harmonic maps is harmonic: a stochastic approach.- M. Ledoux: More Hypercontractive Bounds for Deformed Orthogonal Polynomial Ensembles.- E. Cepa, D. Lepingle: No multiple collisions for mutually repelling Brownian particles.- L. Alili, P. Patie: On the joint law of the L1 and L2 norms of a 3-dimensional Bessel bridge.- P. Salminen, M. Yor: Tanaka formula for symmetric Levy processes.- M. Pistorius: An excursion theoretical approach to some boundary crossing problems and the Skorokhod embedding for reflected Levy processes.- J. Obloj: The maximality principle revisited: on certain optimal stopping problems.- N. Enriquez: Correlated processes and the composition of generators.- L. Serlet: Representation of the martingales for the Brownian snake.- E. Gobet, S.Menozzi: Discrete sampling of functionals of Ito processes.- O. Chybriakov: Ito's integrated formula for strict local martingales with jumps.- S. Ankirchner, S. Dereich, P. Imkeller: Enlargement of filtrations and continuous Girsanov-type embeddings.- M. De Donno, M. Pratelli: On a lemma by Ansel and Stricker.- A.S. Cherny: General arbitrage pricing model: I.Probability approach.- II.Transaction costs.- III.Possibility approach.

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この本の情報

書名 Séminaire de probabilités XL
著作者等 Emery, Michel
Rouault, Alain
Séminaire de probabilités
Emery Michel (Universite Louis Pasteur Strasbourg France)
Stricker Christophe
Donati-Martin Catherine
書名別名 Séminaire de probabilités 40
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c2007
ページ数 xi, 481 p.
大きさ 24 cm
ISBN 9783540711889
NCID BA82574402
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言語 英語
出版国 ドイツ
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