52 citations · 402 across the 46 of their papers we have counts for
5 papers · 1 filter
Note on the density of ISE and a related diffusion
Guillaume Chapuy, Jean-François Marckert
The integrated super-Brownian excursion (ISE) is the occupation measure of the spatial component of the head of the Brownian snake with lifetime process the normalized Brownian exc…
Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces
Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier +1
We study the correlators arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight , at arbitrary values of the two sets of time parameters. Com…
Short Synchronizing Words for Random Automata
Guillaume Chapuy, Guillem Perarnau
We prove that a uniformly random automaton with states on a 2-letter alphabet has a synchronizing word of length with high probability (w.h.p.). That is to s…
Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps
Guillaume Chapuy, Baptiste Louf, Harriet Walsh
We study the asymptotic behaviour of random integer partitions under a new probability law that we introduce, the Plancherel-Hurwitz measure. This distribution, which has a natural…
The Discrete Gaussian model, I. Renormalisation group flow at high temperature
Roland Bauerschmidt, Jiwoon Park, Pierre-François Rodriguez
The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-valued. In two dimensions, at sufficiently high temperature, we show that its macroscopic s…