365 citations · 1.8k across the 43 of their papers we have counts for
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Liouville field theory and log-correlated Random Energy Models
Xiangyu Cao, Pierre Le Doussal, Alberto Rosso +1
An exact mapping is established between the Liouville field theory (LFT) and the Gibbs measure statistics of a thermal particle in a 2D Gaussian Free Field plus a logarit…
One step replica symmetry breaking and extreme order statistics of logarithmic REMs
Xiangyu Cao, Yan V. Fyodorov, Pierre Le Doussal
Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-sp…
Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
Vladimir Belavin, Xiangyu Cao, Benoit Estienne +1
In a recent study we considered W3 Toda 4-point functions that involve matrix elements of a primary field with the highest-weight in the adjoint representation of sl3. We generaliz…
Genuine localisation transition in a long-range hopping model
Xiangyu Cao, Alberto Rosso, Jean-Philippe Bouchaud +1
We introduce and study a new class of Banded Random Matrix model describing sparse, long range quantum hopping in one dimension. Using a series of analytic arguments, numerical sim…
Joint min-max distribution and Edwards-Anderson's order parameter of the circular -noise model
Xiangyu Cao, Pierre Le Doussal
We calculate the joint min--max distribution and the Edwards-Anderson's order parameter for the circular model of -noise. Both quantities, as well as generalisations, are ob…