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- Centre National de la Recherche ScientifiqueFR147 papers
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8 papers · 2 filters
Long paths in first passage percolation on the complete graph I. Local PWIT dynamics
M. Eckhoff, J. Goodman, R. van der Hofstad +1
We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed edge weights, continuing the program initiated…
Long paths in first passage percolation on the complete graph II. Global branching dynamics
M. Eckhoff, J. Goodman, R. van der Hofstad +1
We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed edge weights, continuing the program initiated…
The spread of infections on evolving scale-free networks
Emmanuel Jacob, Peter Mörters
We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof…
Vanishing corrections for the position in a linear model of FKPP fronts
Julien Berestycki, Éric Brunet, Simon C. Harris +1
Take the linearised FKPP equation \[\partial_t h =\partial^2_x h +h\] with boundary condition . Depending on the behaviour of the initial condition we…
Condensation and symmetry-breaking in the zero-range process with weak site disorder
Cécile Mailler, Peter Mörters, Daniel Ueltschi
Condensation phenomena in particle systems typically occur as one of two distinct types: either as a spontaneous symmetry breaking in a homogeneous system, in which particle intera…
The infinite rate symbiotic branching model: from discrete to continuous space
Matthias Hammer, Marcel Ortgiese
The symbiotic branching model describes a spatial population consisting of two types that are allowed to migrate in space and branch locally only if both types are present. We cont…