106 citations · 431 across the 57 of their papers we have counts for
4 papers · 2 filters
Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation
Louigi Addario-Berry, Julien Berestycki, Sarah Penington
In this work we study a non-local version of the Fisher-KPP equation, \begin{equation*} \begin{cases} \frac{\partial u}{\partial t}=\tfrac{1}{2}Δu +u (1- ϕ\ast u), \quad t>0, \quad…
Local optima of the Sherrington-Kirkpatrick Hamiltonian
Louigi Addario-Berry, Luc Devroye, Gabor Lugosi +1
We study local optima of the Hamiltonian of the Sherrington-Kirkpatrick model. We compute the exponent of the expected number of local optima and determine the "typical" value of t…
Most trees are short and fat
Louigi Addario-Berry
This work proves new probability bounds relating to the height, width, and size of Galton-Watson trees. For example, if is any Galton-Watson tree, and , , and are t…
A probabilistic approach to the leader problem in random graphs
Louigi Addario-Berry, Shankar Bhamidi, Sanchayan Sen
We study the fixation time of the identity of the leader, i.e., the most massive component, in the general setting of Aldous's multiplicative coalescent [4, 5], which in an asympto…