most citedA microscopic probabilistic description of a locally regulated population and macroscopic approximations

285 citations

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4 papers

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,…

cond-mat.str-el2005★ 88 cited

Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice

Jean-Christophe Domenge, Philippe Sindzingre, Claire Lhuillier +1

Motivated by recent experiments on an S=1/2 antiferromagnet on the kagome lattice, we investigate the Heisenberg J1-J2 model with ferromagnetic J1 and antiferromagnetic J2. Classic…