40 citations · 98 across the 11 of their papers we have counts for
4 papers · 1 filter
Linearizable ordinary differential equations
Hector Giacomini, Jaume Gine, Maite Grau
Our purpose in this paper is to study when a planar differential system polynomial in one variable linearizes in the sense that it has an inverse integrating factor which can be co…
Finding gaps in a spectrum
Hector Giacomini, Amaury Mouchet
We propose a method for finding gaps in the spectrum of a differential operator. When applied to the one-dimensional Hamiltonian of the quartic oscillator, a simple algebraic algor…
Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation
C. Bervillier, B. Boisseau, H. Giacomini
The relation between the Wilson-Polchinski and the Litim optimized ERGEs in the local potential approximation is studied with high accuracy using two different analytical approache…
A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle
Ahmad El Soufi, Hector Giacomini, Mustapha Jazar
We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: on the Klein bottle , the metric of revolution $$g_0= {9+ (1…