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Extreme value statistics of 2d Gaussian Free Field: effect of finite domains
Xiangyu Cao, Alberto Rosso, Raoul Santachiara
We study minima statistics of the 2d Gaussian Free Field on circles in the unit disk with Dirichlet boundary condition. Free energy distributions of the associated Random Energy mo…
Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics
Xiangyu Cao, Alberto Rosso, Raoul Santachiara
We study scaling properties of the honeycomb fully packed loop ensemble associated with a lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kar…
Black hole spectroscopy from Loop Quantum Gravity models
Aurelien Barrau, Xiangyu Cao, Karim Noui +1
Using Monte Carlo simulations, we compute the integrated emission spectra of black holes in the framework of Loop Quantum Gravity (LQG). The black hole emission rates are governed…