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71 papers · 1 filter
Asymptotic mean density of sub-unitary ensemble
E. Bogomolny
The large N limit of mean spectral density for the ensemble of NxN sub-unitary matrices derived by Wei and Fyodorov (J. Phys. A: Math. Theor. 41 (2008) 50201) is calculated by a mo…
Random Convex Hulls and Extreme Value Statistics
Satya N. Majumdar, Alain Comtet, Julien Randon-Furling
In this paper we study the statistical properties of convex hulls of random points in a plane chosen according to a given distribution. The points may be chosen independently o…
Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
Robert Jördens, Leticia Tarruell, Daniel Greif +12
We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined by comparing…
The Hierarchical Random Energy Model
Michele Castellana, Aurelien Decelle, Silvio Franz +2
We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making…
Surface Tension in Kac Glass Models
Elia Zarinelli, Silvio Franz
In this paper we study a distance-dependent surface tension, defined as the free-energy cost to put metastable states at a given distance. This will be done in the framework of a d…
Universal First-passage Properties of Discrete-time Random Walks and Levy Flights on a Line: Statistics of the Global Maximum and Records
Satya N. Majumdar
In these lecture notes I will discuss the universal first-passage properties of a simple correlated discrete-time sequence {x_0=0, x_1,x_2.... x_n} up to n steps where x_i represen…