Research:
You can find below a short statement about my research.
My full CV (in pdf and in english) is [here].
You can also visit my [Web page in french].
Domain:
Mathematical physics / Probability
Interests:
• Random walks and spins models on random graphs and networks.
• Asymptotical behavior of first passage times.
• Exit and hitting times of local equilibria.
• Recursive scale-free graphs and trees.
• Cut-off and escape behaviors for random walks.
• Link between cut-off phenomenon and exit from metastability.
Publications:
Cut-off and escape behavior for birth and death chains on trees.
ALEA, Lat. Am. J. Probab. Math. Stat. 8, 149-162 (2011).
[ALEA]
Abrupt convergence and escape behavior for birth and death chains.
(with J. Barrera and R. Fernández)
J. Stat. Phys. (2009) 137: 595-623. [SL]
or [arxiv] (Preprint version)
Cut-off and exit from metastability: Two sides of the same coin.
(with J. Barrera and R. Fernández)
C.R.Acad.Sci.Paris, Ser.I 346 (2008) 691-696. [EM] or
[SD]
PhD Thesis:
Convergence abrupte et métastabilité. [TEL]
Université de Rouen (2007). Advisor: R. Fernández
NB: Papers can be downloaded by following the links.
Note that [SL] (SpringerLink), [EM] (ElsevierMasson) and [SD] (ScienceDirect) are requiring subscriptions.
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