Publications 

 

Applications to medecine

 

      F. Kwiatkowski, L. Serlet, Y.J. Bignon. What selection pressure does to mutations favoring cancer ? Highlights of a simulation approach. Biomedical Journ. Of Tech. Research. 2018

https://biomedres.us/pdfs/BJSTR.MS.ID.001989.pdf

       

      M. Arbre, F. Kwiatkowski, L. Serlet, Y.J. Bignon. From oncogenetic pedigrees to family profiles : a necessary step to enable statistics. Journal of Proteomics and Bioinformatics, Omics International 2016

https://hal.uca.fr/hal-01675318

 

 

 

Recent contributions on probability

 

 

      L. Serlet.  Explicit laws for the records of the perturbed random walk on Z. Sminaire de Probabilits XLIX. Springer (2018).

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      L. Serlet. Hitting times for the perturbed reflecting random walk. Stoch. Proc. and their Appl. 123(1), 110-130 (2013).

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      L. Serlet. Invariance principle for the random walk conditioned to have few zeros. Sminaire de Probabilits XLVI, 461-472. Springer (2014).

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      L. Serlet. Looking for a good time to bet. Mathematical Spectrum, 47 (3) (2015).

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Publications in French : articles de vulgarisation ou autres

 

      L. Serlet.  Pour dompter lalatoire, rien ne vaut une bonne martingale . Revue Mathmatiques en auvergne, Tome 1, 375-390,  Revue dAuvergne (2014).

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      L. Serlet.  LՃcole de Probabilits de Saint Flour . Revue Mathmatiques en auvergne Tome 1, 217-225,  Revue dAuvergne (2014).

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Documents de synthse (Memoirs)

 

      L. Serlet. Quelques proprits du super-mouvement brownien. Thse de doctorat de l'Universit Paris 6, 1994.

 

      L. Serlet. Contributions lՎtude du serpent brownien et applications au super-mouvement brownien. Document de synthse pour lHDR, 2004.

hdr.pdf

 

 

Older contributions

 

      L. Serlet . Some dimension results for super-Brownian motion. Probab. Th. Relat. Fields 101, 371-391, 1995.

 

 

      L. Serlet . On the Hausdorff measure of multiple points and collision  points of super-Brownian motion. Stochastics and stochastic Reports  54, 169-198, 1995.

 

 

      L. Serlet .  The occupation measure of super Brownian  motion conditioned to nonextinction. Journal of Th. Probab.  9 (3), 561-578,1996.

 

 

      L. Serlet . A large deviation principle for the Brownian snake. Stoch. Proc. and their Appl.  67, 101-115, 1997.

 

 

      L. Serlet . Laws of the iterated logarithm for the Brownian snake. Sminaire de Probabilits XXXIV, Lect. Notes Math 1729, 302-312. Springer, 2000.

 

 

      J.S. Dhersin, L. Serlet.  A stochastic calculus approach for the Brownian snake. Can. J. Math.  52 (1), 92-118, 2000.


 

 

      R. Abraham, L. Serlet. Representations of the Brownian snake with drift.  Stochastics and stochastic Reports  73, 287-308, 2002.

bsnake.pdf

      

 

      R. Abraham, L. Serlet. Poisson snake and fragmentation. Electronic Journal of Probability   Vol. 7, 2002.

http://www.math.washington.edu/~ejpecp/viewissue.php?id=210 - Articles

 

 

      L. Serlet . Super-Brownian motion conditioned on the total mass. Stoch. Proc. and their Appl. 115, 1782-1804, 2005.

spa115

 

 

      L. Serlet. Representation of the martingales for the Brownian snake. Sminaire de Probabilits XL, 343-354

martingales.pdf

 

 

      L. Serlet. Creation or deletion of a drift on a Brownian trajectory, Sminaire de Probabilits XLI, 215-232.

drift.pdf

 

      L. Serlet New large deviation results for some super-Brownian processes Stoch. Proc. and their Appl., 119 (5),1696-1724

     nld.pdf

 

 

      L. Serlet. Survival of a Brownian snake in a hostile environment, unpublished.

survival.pdf