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

285 citations

6 papers

math.PR20051 cited

Percolating paths through random points :

David Aldous, Maxim Krikun

We prove consistency of four different approaches to formalizing the idea of minimum average edge-length in a path linking some infinite subset of points of a Poisson process. The…

math.AG2005

Une généralisation du théorème de Kobayashi-Ochiai

Frederic Campana, Mihai Paun

Let a holomorphic map to an -dimensional connected compact complex manifold . We establish links between the positivity properties of the canonical bundle o…

math.AG2005

Sur certaines singularites non isolees d'hypersurfaces I

Daniel Barlet

The aim of this fisrt part is to introduce, for a rather large class of hypersurface singularities with 1 dimensionnal locus, the analog of the Brieskorn lattice at the origin (the…

math.SG2005

On a general approach to the formal cohomology of quadratic Poisson structures

Mohsen Masmoudi, Norbert Poncin

We propose a general approach to the formal Poisson cohomology of -matrix induced quadratic structures, we apply this device to compute the cohomology of structure 2 of the Dufo…

math.PR2005285 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,…

math.PR200525 cited

The exit problem for diffusions with time-periodic drift and stochastic resonance

Samuel Herrmann, Peter Imkeller

Physical notions of stochastic resonance for potential diffusions in periodically changing double-well potentials such as the spectral power amplification have proved to be defecti…