688 citations
- Centre de Recherche en Mathématiques de la DécisionFR133 papers
- Centre National de la Recherche ScientifiqueFR86 papers
- Université Paris Sciences et LettresFR31 papers
- Centre de Recherche en Économie et StatistiqueFR23 papers
- Université Paris CitéFR17 papers
- École PolytechniqueFR15 papers
- Institut Universitaire de FranceFR10 papers
- Sorbonne UniversitéFR10 papers
- University of WarwickGB10 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR7 papers
- Institut national de recherche en sciences et technologies du numériqueFR7 papers
- LamsadeFR7 papers
Showing 2003Show all
3 papers · 1 filter
math.PR2003★ 2 cited
A criterion for Talagrand's quadratic transportation cost inequality
Patrick Cattiaux, Arnaud Guillin
We show that the quadratic transportation cost inequality is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingre…
math-ph2003★ 1 cited
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…
math-ph2003
An analytical proof of Hardy-like inequalities related to the Dirac operator
J. Dolbeault, M. J. Esteban, M. Loss +1
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral inf…