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4 papers · 2 filters
Aging of asymmetric dynamics on the random energy model
Pierre Mathieu, Jean-Christophe Mourrat
We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the scaling limits of the clock process and of the age process. The latter encodes th…
The shape of the D SOS surface above a wall
Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2
We give a full description for the shape of the classical (2+1)\Dim Solid-On-Solid model above a wall, introduced by Temperley (1952). On an box at a large inverse-temp…
Invariant -ensembles and the Gauss-Wigner crossover
Romain Allez, Jean-Philippe Bouchaud, Alice Guionnet
We define a new diffusive matrix model converging towards the -Dyson Brownian motion for all that provides an explicit construction of -ensembles of random matr…
Uniform infinite planar quadrangulations with a boundary
Nicolas Curien, Grégory Miermont
We introduce and study the uniform infinite planar quadrangulation (UIPQ) with a boundary via an extension of the construction of arXiv:1201.1052. We then relate this object to its…