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Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
Statistical Mechanics: Algorithms and Computations
1. Monte Carlo Methods 2. Hard Disks and Spheres 3. Density Matrices and Path Integrals 4. The Bose Gas 5. Order and Disorder in Spin Systems 6. Entropic Forces 7. Dynamic Monte-Carlo Methods
Learning algorithms with optimal stability in neural networks
The authors motivate this proposal and provide optimal stability learning rules for two different choices of normalisation for the synaptic matrix (Jij) and numerical work is presented which gives the value of the optimal stability for random uncorrelated patterns.
Storage capacity of memory networks with binary couplings
We study the number p of unbiased random patterns which can be stored in a neural network of N neurons used as an associative memory, in the case where the synaptic efficacies are constrained to take
Two-step melting in two dimensions: first-order liquid-hexatic transition.
It is shown that melting in hard disks proceeds in two steps with a liquid phase, a hexatic phase, and a solid, and the hexatic-solid transition is continuous while, surprisingly, the liquid-hexatic transition is of first order.
Roughness at the depinning threshold for a long-range elastic string.
  • A. Rosso, W. Krauth
  • Physics
    Physical review. E, Statistical, nonlinear, and…
  • 25 July 2001
This paper compute to high precision the roughness exponent zeta of a long-range elastic string, at the depinning threshold, in a random medium, using the analytic structure of the problem ("no-passing" theorem), but avoids direct simulation of the evolution equations.
The Cavity Method and the Travelling-Salesman Problem
This work solves the zero-temperature cavity equations for the random link travelling-salesman problem and gets precise predictions for the length of the optimal tour and the probability distribution of links in this tour.
Hard-disk equation of state: first-order liquid-hexatic transition in two dimensions with three simulation methods.
These simulations reproduce the equation of state, previously obtained using the event-chain Monte Carlo algorithm, with a massively parallel implementation of the local Monte Carlo method and with event-driven molecular dynamics to confirm the first-order nature of the melting phase transition in hard disks.
Event-chain Monte Carlo algorithms for hard-sphere systems.
Numerical simulations show that event-chain algorithms clearly outperform the conventional Metropolis method, and reversible versions of the algorithms, which violate detailed balance, improve the speed of the method even further.