296 citations
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Showing 2005 · math.PRShow all
3 papers · 2 filters
math.PR2005
Sinai's condition for real valued Lévy processes
Victor Rivero
We prove that the upward ladder height subordinator associated to a real valued Lévy process has Laplace exponent that varies regularly at (resp. at 0) if and…
math.PR2005★ 7 cited
Concentration for independent random variables with heavy tails
Franck Barthe, Patrick Cattiaux, Cyril Roberto
If a random variable is not exponentially integrable, it is known that no concentration inequality holds for an infinite sequence of independent copies. Under mild conditions, we e…
math.PR2005★ 285 cited
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann,…