77 citations · 131 across the 9 of their papers we have counts for
11 papers
On the maximum of the CE field
Reda Chhaibi, Thomas Madaule, Joseph Najnudel
In this paper, we investigate the extremal values of (the logarithm of) the characteristic polynomial of a random unitary matrix whose spectrum is distributed according the Circula…
The tail distribution of the Derivative martingale and the global minimum of the branching random walk
Thomas Madaule
In a seminal paper Biggins and Kyprianou \cite{BKy04} proved the existence of a non degenerate limit for the {\it Derivative martingale} of the branching random walk. As shown in \…
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…
The minimum of a branching random walk outside the boundary case
Julien Barral, Yueyun Hu, Thomas Madaule
This paper is a complement to the studies on the minimum of a real-valued branching random walk. In the boundary case (Biggins, Kyprianou 2005), Aïdékon in a seminal paper (2013) o…