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9 papers · 2 filters
The dynamic saddle-node bifurcation with noise on the slow variable
Baptiste Bergeot, Nils Berglund, Israa Zogheib
In this work, we analyse the effect of adding Gaussian white noise to the slow variable of a slow--fast system passing through a saddle--node (or fold) bifurcation. This problem is…
Local limits of conditioned marked Galton Watson trees
Romain Abraham, Sonia Boulal, Pierre Debs
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on its outdegree. We give a complete picture of the local conve…
Neural Field Equations and Hawkes processes: long-term stability of traveling wave profiles in the neutral case
Eric Luçon, Christophe Poquet
We consider the long-time behavior of a population of interacting Hawkes processes on the real line, with spatial extension. The large population behavior of the system is governed…
Discrete harmonic polynomials in multidimensional orthants
Emmanuel Humbert, Kilian Raschel
We consider multidimensional random walks in pyramidal cones (or multidimensional orthants), which are intersections of a finite number of half-spaces. We explore the connection be…
Transient random walks on the space of lattices
Axel Péneau, Cagri Sert
Given , we construct a Zariski-dense random walk on the space of lattices SLSL that exhibits escape of mass. This negates the suggestion of…
Concentration inequalities and large deviations for continuous greedy animals and paths
Julien Verges
Consider the continuous greedy paths model: given a -dimensional Poisson point process with positive marks interpreted as masses, let denote the maximum mass g…