4 citations · 15 across the 14 of their papers we have counts for
17 papers
Vortex lines interaction in the three-dimensional magnetic Ginzburg--Landau model
Carlos Román, Etienne Sandier, Sylvia Serfaty
We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter …
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…
Enhancing Accuracy in Deep Learning Using Random Matrix Theory
Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo +1
We explore the applications of random matrix theory (RMT) in the training of deep neural networks (DNNs), focusing on layer pruning that is reducing the number of DNN parameters (w…
Solitons and solitonic vortices in a strip
Amandine Aftalion, Etienne Sandier
We study the ground state of the Gross Pitaveskii energy in a strip, with a phase imprinting condition, motivated by recent experiments on matter waves solitons. We prove that when…
The Ginzburg-Landau energy with a pinning term oscillating faster than the coherence length
Mickaël Dos Santos, Rémy Rodiac, Etienne Sandier
The aim of this article is to study the magnetic Ginzburg-Landau functional with an oscillating pinning term. We consider here oscillations of the pinning term that are much faster…
Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem
Carlos Román, Etienne Sandier, Sylvia Serfaty
We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magnetic field, in the regime where the intensity of the applied field is close to th…