84 citations · 152 across the 12 of their papers we have counts for
13 papers
Percolation of the contact process on the regular tree
John Fernley, Emmanuel Jacob
The contact process on the regular tree when has the two phase transitions of global and of local survival, found by Pemantle and Liggett at values a…
Crossing probabilities in geometric inhomogeneous random graphs
Emmanuel Jacob, Céline Kerriou, Amitai Linker +1
In a geometric inhomogeneous random graph vertices are given by the points of a Poisson process and are equipped with independent weights following a heavy tailed distribution. Any…
Metastability of the contact process on slowly evolving scale-free networks
Emmanuel Jacob, Amitai Linker, Peter Mörters
We investigate the contact process on scale-free networks evolving by a stationary dynamics whereby each vertex independently updates its connections with a rate depending on its p…
A universal right tail upper bound for supercritical Galton-Watson processes with bounded offspring
John Fernley, Emmanuel Jacob
We consider a supercritical Galton-Watson process whose offspring distribution has mean and is bounded by some . As well-known, the associated mart…
Local weak limit of dynamical inhomogeneous random graphs
Léo Dort, Emmanuel Jacob
We consider dynamical graphs, namely graphs that evolve over time, and investigate a notion of local weak convergence that extends naturally the usual Benjamini-Schramm local weak…
The contact process on dynamical scale-free networks
Emmanuel Jacob, Amitai Linker, Peter Mörters
We investigate the contact process on four different types of scale-free inhomogeneous random graphs evolving according to a stationary dynamics, where each potential edge is updat…
Metastability of the contact process on fast evolving scale-free networks
Emmanuel Jacob, Amitai Linker, Peter Mörters
We study the contact process in the regime of small infection rates on finite scale-free networks with stationary dynamics based on simultaneous updating of all connections of a ve…
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…
Robustness of scale-free spatial networks
Emmanuel Jacob, Peter Morters
A growing family of random graphs is called robust if it retains a giant component after percolation with arbitrary positive retention probability. We study robustness for graphs,…
The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection
Jérémie Bettinelli, Emmanuel Jacob, Grégory Miermont
We prove that a uniform rooted plane map with n edges converges in distribution after a suitable normalization to the Brownian map for the Gromov-Hausdorff topology. A recent bijec…
Spatial preferential attachment networks: Power laws and clustering coefficients
Emmanuel Jacob, Peter Mörters
We define a class of growing networks in which new nodes are given a spatial position and are connected to existing nodes with a probability mechanism favoring short distances and…
Langevin process reflected on a partially elastic boundary I
Emmanuel Jacob
Consider a Langevin process, that is an integrated Brownian motion, constrained to stay on the nonnegative half-line by a partially elastic boundary at 0. If the elasticity coeffic…
Excursions of the integral of the Brownian motion
Emmanuel Jacob
The integrated Brownian motion is sometimes known as the Langevin process. Lachal studied several excursion laws induced by the latter. Here we follow a different point of view dev…