4 papers
A probabilistic view on the general relativistic Boltzmann equation
Ismael Bailleul, Frabrice Debbasch
A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrins…
KPZ in a multidimensional random geometry of multiplicative cascades
Ismael Bailleul
We show in this note how the one-dimensional KZP formula obtained by Benjamini and Schramm can be extended to a multidimensional setting.
Spatial coagulation with bounded coagulation rate
Ismael Bailleul
We prove that the spatial coagulation equation with bounded coagulation rate is well-posed for all times in a given class of kernels if the convection term of the underlying partic…
Probabilistic view on singularities and spacetime boundary
Ismael Bailleul
The aim of this article is to promote the use of probabilistic methods in the study of problems in mathematical general relativity. Two new and simple singularity theorems, whose f…