We discuss a generic model of Bayesian inference with binary variables defined on edges of a planar graph. The Loop Calculus approach of [1, 2] is used to evaluate the resulting series expansion forâ€¦ (More)

Since it was first applied to the study of nuclear interactions by Wigner and Dyson, almost 60 years ago, Random Matrix Theory (RMT) has developed into a field of its own whithin applied mathematics,â€¦ (More)

We show that unstable fingering patterns of two-dimensional flows of viscous fluids with open boundary are described by a dispersionless limit of the Korteweg-de Vries hierarchy. In this framework,â€¦ (More)

The evolution of the degenerate complex curve associated with the ensemble at a generic critical point is related to the finite time singularities of Laplacian Growth. It is shown that the scalingâ€¦ (More)

The diagonal case of the sl(2) Richardson-Gaudin quantum pairing model [1, 2, 3, 4, 5, 6, 7] is known to be solvable as an Abel-Jacobi inversion problem [8, 9, 10, 11, 12, 13, 14, 15]. This is anâ€¦ (More)

Using a recently introduced linear reformulation of the Kuramoto model of self-synchronizing oscillator systems [1], we study a new class of analytically solvable oscillator systems defined by aâ€¦ (More)

Nowadays, blueberries are one of the most appreciated and fast increasing consumption worldwide. The industrial sector is ready to answer to the consumersâ€™ expectations including all year round freshâ€¦ (More)