93 citations · 97 across the 5 of their papers we have counts for
6 papers
Effective recovery of Fourier spectra and spectral approximation by finite groups
Mircea Petrache, Rodolfo Viera
We prove a result on approximate recovery, with high probability, of subgroups of a finite nonabelian group from their random perturbations. We use this for ad-hoc sequences of…
Equidistribution of jellium energy for Coulomb and Riesz Interactions
Mircea Petrache, Simona Rota Nodari
For general dimension we prove the equidistribution of energy at the micro-scale in , for the optimal point configurations appearing in Coulomb gases at zero tempe…
Next Order Asymptotics and Renormalized Energy for Riesz Interactions
Mircea Petrache, Sylvia Serfaty
We study systems of points in the Euclidean space of dimension interacting via a Riesz kernel and confined by an external potential, in the regime where $d…
Interior partial regularity for minimal Lp-vectorfields with integer fluxes
Mircea Petrache
We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we pr…
Notes on a slice distance for singular Lp-bundles
Mircea Petrache
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivière, where it was used to prove the…
Existence of solutions to a higher dimensional mean-field equation on manifolds
Luca Martinazzi, Mircea Petrache
For we prove an existence result for the equation on a closed Riemannian manifold of dimension for certa…