[Fluctuations of Lévy processes and scattering theory]
Nous mettons en évidence une correspondance entre le problème des fluctuations des processus de Lévy et la théorie du scattering.
We show a strong connexion between the problem of fluctuations of Lévy processes and scattering theory.
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Sonia Fourati  1 , 2
@article{CRMATH_2006__342_2_135_0,
author = {Sonia Fourati},
title = {Fluctuation des processus de {L\'evy} et dispersion ( {\guillemotleft} scattering {\guillemotright})},
journal = {Comptes Rendus. Math\'ematique},
pages = {135--139},
year = {2006},
publisher = {Elsevier},
volume = {342},
number = {2},
doi = {10.1016/j.crma.2005.11.012},
language = {fr},
}
Sonia Fourati. Fluctuation des processus de Lévy et dispersion ( « scattering »). Comptes Rendus. Mathématique, Volume 342 (2006) no. 2, pp. 135-139. doi: 10.1016/j.crma.2005.11.012
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[2] Probabilités et Potentiel, Hermann, 1975
[3] Fluctuation Theory for Lévy Processes, Lévy Processes, Theory and Applications, Birkhäuser, 2001
[4] Important Developments in Soliton Theory (A.S. Fokas; V.E. Zakharov, eds.), Springer-Verlag, 1993
[5] Krein theory applied to fluctuations of Lévy processes, 2005 | arXiv
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