5 papers
The snake in the Brownian sphere
Omer Angel, Emmanuel Jacob, Brett Kolesnik +1
The Brownian sphere is a random metric space, homeomorphic to the two-dimensional sphere, which arises as the universal scaling limit of many types of random planar maps. The direc…
Subcritical annulus crossing in spatial random graphs
Emmanuel Jacob, Benedikt Jahnel, Lukas Lüchtrath
We consider general continuum percolation models obeying sparseness, translation invariance, and spatial decorrelation. In particular, this includes models constructed on general p…
Targeted Immunisation Thresholds for the Contact Process on Power-Law Trees
John Fernley, Emmanuel Jacob
Scale-free configuration models are intimately connected to power law Galton-Watson trees. It is known that contact process epidemics can propagate on these trees and therefore the…
Only long edges can erase the subcritical annulus-crossing phase of weight-dependent random connection models
Emmanuel Jacob
This short note aims at complementing the results of the recent work arXiv:2302.05396, where Jahnel and Lüchtrath investigate the question of existence of a subcritical percolation…
Langevin process reflected on a partially elastic boundary II
Emmanuel Jacob
A particle subject to a white noise external forcing moves like a Langevin process. Consider now that the particle is reflected at a boundary which restores a portion c of the inco…