191 citations · 1.4k across the 72 of their papers we have counts for
8 papers · 1 filter
Quantum scattering by a disordered target -- The mean cross section
D Boosé, J Y Fortin, J M Luck
We study the variation of the mean cross section with the density of the samples in the quantum scattering of a particle by a disordered target. The target consists of a set of poi…
Slow synaptic dynamics in a network: from exponential to power-law forgetting
J. M. Luck, A. Mehta
We investigate a mean-field model of interacting synapses on a directed neural network. Our interest lies in the slow adaptive dynamics of synapses, which are driven by the fast dy…
Power-law forgetting in synapses with metaplasticity
A. Mehta, J. M. Luck
The idea of using metaplastic synapses to incorporate the separate storage of long- and short-term memories via an array of hidden states was put forward in the cascade model of Fu…
Fluctuation effects in metapopulation models: percolation and pandemic threshold
Marc Barthelemy, Claude Godreche, Jean-Marc Luck
Metapopulation models provide the theoretical framework for describing disease spread between different populations connected by a network. In particular, these models are at the b…
Localization of maximal entropy random walk
Z. Burda, J. Duda, J. M. Luck +1
We define a new class of random walk processes which maximize entropy. This maximal entropy random walk is equivalent to generic random walk if it takes place on a regular lattice,…
On random symmetric matrices with a constraint: the spectral density of random impedance networks
J. Staering, B. Mehlig, Yan V. Fyodorov +1
We derive the mean eigenvalue density for symmetric Gaussian random N x N matrices in the limit of large N, with a constraint implying that the row sum of matrix elements should va…
Anomalous dynamical scaling and bifractality in the 1D Anderson model
S. De Toro Arias, J. M. Luck
We investigate dynamical scaling properties of the 1D tight-binding Anderson model with a weak diagonal disorder, by means of the spreading of a wave packet. In the absence of diso…
Dielectric resonances of binary random networks
Th. Jonckheere, J. M. Luck
We investigate the AC conductivity of binary random impedance networks, with emphasis on its dependence on the ratio of the complex conductances of both phases. We propose an algor…