77 citations · 131 across the 9 of their papers we have counts for
3 papers · 2 filters
The Seneta-Heyde scaling for homogeneous fragmentations
Andreas E. Kyprianou, Thomas Madaule
Homogeneous mass fragmentation processes describe the evolution of a unit mass that breaks down randomly into pieces as time. Mathematically speaking, they can be thought of as con…
On the trajectory of an individual chosen according to supercritical Gibbs measure in the branching random walk
Xinxin Chen, Thomas Madaule, Bastien Mallein
Consider a branching random walk on the real line. Madaule showed the renormalized trajectory of an individual selected according to the critical Gibbs measure converges in law to…
Continuity estimates for the complex cascade model on the phase boundary
Thomas Madaule, Rémi Rhodes, Vincent Vargas
We consider the complex branching random walk on a dyadic tree with Gaussian weights on the boundary between the diffuse phase and the glassy phase. We study the branching random w…