106 citations · 431 across the 57 of their papers we have counts for
Showing 2014 · math.PRShow all
3 papers · 2 filters
math.PR2014
Partition functions of discrete coalescents: from Cayley's formula to Frieze's ζ(3) limit theorem
Louigi Addario-Berry
In these expository notes, we describe some features of the multiplicative coalescent and its connection with random graphs and minimum spanning trees. We use Pitman's proof of Cay…
math.PR2014
Random infinite squarings of rectangles
Louigi Addario-Berry, Nicholas Leavitt
A recent preprint (arXiv:1402.2632) introduced a growth procedure for planar maps, whose almost sure limit is "the uniform infinite 3-connected planar map". A classical constructio…
math.PR2014★ 1 cited
Growing random 3-connected maps, or comment s'enfuir de l'hexagone
Louigi Addario-Berry
We use a growth procedure for binary trees due to Luczak and Winkler, a bijection between binary trees and irreducible quadrangulations of the hexagon due to Fusy, Poulalhon and Sc…