92 citations · 108 across the 6 of their papers we have counts for
6 papers
Interface fluctuations associated with split Fermi seas
Harriet Walsh
We consider the asymptotic behaviour of a family of unidimensional lattice fermion models, which are in exact correspondence with certain probability laws on partitions and on unit…
Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution
Dan Betea, Jérémie Bouttier, Harriet Walsh
We introduce multicritical Schur measures, which are probability laws on integer partitions which give rise to non-generic fluctuations at their edge. They are in the same universa…
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…
Multicritical random partitions
Dan Betea, Jérémie Bouttier, Harriet Walsh
We study two families of probability measures on integer partitions, which are Schur measures with parameters tuned in such a way that the edge fluctuations are characterized by a…
On deformations and supersymmetry
Marco Baggio, Alessandro Sfondrini, Gabriele Tartaglino-Mazzucchelli +1
We investigate the "" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the sup…