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20052026
most citedBridging Carrollian and Celestial Holography

166 citations

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math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

Concentration around a stable equilibrium for the non-autonomous model

Dimitri Faure

We consider time-dependent singular stochastic partial differential equations on the three-dimensional torus. These equations are only well-posed after one adds renormalization ter…