141 citations · 477 across the 13 of their papers we have counts for
13 papers
On the eigenvalues of operators with gaps. Application to Dirac operators
Jean Dolbeault, Maria J. Esteban, Eric Séré
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem…
Dirac-Coulomb operators with general charge distribution. II. The lowest eigenvalue
Maria J. Esteban, Mathieu Lewin, Éric Séré
Consider the Coulomb potential generated by a non-negative finite measure . It is well known that the lowest eigenvalue of the corresponding Schrödinger operato…
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations
Maxime Chupin, Mi-Song Dupuy, Guillaume Legendre +1
This paper deals with a general class of algorithms for the solution of fixed-point problems that we refer to as \emph{Anderson--Pulay acceleration}. This family includes the DIIS…
A surjection theorem for maps with singular perturbation and loss of derivatives
Ivar Ekeland, Eric Séré
In this paper we introduce a new algorithm for solving perturbed nonlinear functional equations which admit a right-invertible linearization, but with an inverse that loses derivat…
Smooth solutions to portfolio liquidation problems under price-sensitive market impact
Paulwin Graewe, Ulrich Horst, Eric Séré
We consider the stochastic control problem of a financial trader that needs to unwind a large asset portfolio within a short period of time. The trader can simultaneously submit ac…
Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1
Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the pres…