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16 papers · 2 filters
The longest branches in a non-Markovian phylogenetic tree
Sergey Bocharov, Simon C. Harris, Bastien Mallein
Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time to a random number of children…
On the separation cut-off phenomenon for Brownian motions on high dimensional rotationally symmetric compact manifolds
Koléhè Coulibaly-Pasquier, Marc Arnaudon, Laurent Miclo
Given a family of rotationally symmetric compact manifolds indexed by the dimension and a weight function, the goal of this paper is to investigate the cut-off phenomenon for the B…
Dark Subspaces and Invariant Measures of Quantum Trajectories
Tristan Benoist, Clément Pellegrini, Anna Szczepanek
Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent iterated function sys…
The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
Julien Berestycki, Jiaqi Liu, Bastien Mallein +1
Consider branching Brownian motion with absorption in which particles move independently as one-dimensional Brownian motions with drift , each particle splits into two particle…
Functional approximation of the marked Hawkes risk process
Laure Coutin, Mahmoud Khabou
The marked Hawkes risk process is a compound point process for which the occurrence and amplitude of past events impact the future. Thanks to its autoregressive properties, it foun…
Stability of discrete-time Hawkes process with inhibition: towards a general condition
Manon Costa, Pascal Maillard, Anthony Muraro
In this paper, we study a discrete-time analogue of a Hawkes process, modelled as a Poisson autoregressive process whose parameters depend on the past of the trajectory. The model…