World's Best Scientists 2026 revealed!
Bernard Helffer

Bernard Helffer

D-Index & Metrics

Mathematics

D-Index
56
Citations
10952
World Ranking
738
National Ranking
36

Overview

Bernard Helffer is affiliated with the University of Nantes in France. Their research primarily falls within the fields of Mathematics and Computer Science, with notable contributions across various specialized subfields. These subfields include Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Atomic and Molecular Physics and Optics, and Geometry and Topology.

The main topics covered by Bernard Helffer's work are:

  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems
  • Quantum chaos and dynamical systems
  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations

They have published extensively, with a total of 116 publications in Mathematics and 40 in Computer Science. Their frequent publication venues include:

  • arXiv (Cornell University)
  • Integral Equations and Operator Theory
  • Pure and Applied Analysis
  • Journal de l'École polytechnique - Mathématiques
  • Asymptotic Analysis

Bernard Helffer has contributed to book publications as well, including a work published by Memoirs of the European Mathematical Society titled On the Stability of Symmetric Flows in a Two-Dimensional Channel, set for 2025.

Recent papers authored by Bernard Helffer include:

  • Improving Semigroup Bounds with Resolvent Estimates (2021), published in Integral Equations and Operator Theory
  • Semi-classical edge states for the Robin Laplacian (2022), published in Mathematika
  • Quantum tunneling in deep potential wells and strong magnetic field revisited (2024), published in Pure and Applied Analysis
  • Thin domain limit and counterexamples to strong diamagnetism (2020), published in Reviews in Mathematical Physics

Frequent co-authors collaborating with Bernard Helffer include:

  • Pierre Bérard
  • Ayman Kachmar
  • François Nicoleau
  • Mikael Persson Sundqvist
  • Rola Kiwan

Best Publications

  • Multiple wells in the semi-classical limit I

    B. Helffer;J. Sjostrand

  • Semi-Classical Analysis for the Schrödinger Operator and Applications

    Bernard Helffer

  • Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

    Bernard Helffer;Francis Nier

  • Equation de Schrödinger avec champ magnétique et équation de Harper

    Bernard Helffer;Johannes Sjöstrand

  • Spectral Methods in Surface Superconductivity

    Søren Fournais;Bernard Helffer

  • Résonances en limite semi-classique

    B. Helffer;J. Sjöstrand

  • Magnetic Bottles in Connection with Superconductivity

    Bernard Helffer;Abderemane Morame

  • Ergodicité et limite semi-classique

    B. Helffer;A. Martinez;D. Robert

  • Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles

    B Helffer;B Helffer;D Robert

  • Puits multiples en mecanique semi-classique iv etude du complexe de witten

    B. Helffer;J. Sjöstrand

  • Eigenvalues Variation. I.: Neumann Problem for Sturm-Liouville Operators

    M. Dauge;B. Helffer

  • On the correlation for Kac-like models in the convex case

    Bernard Helffer;Johannes Sjöstrand

  • Théorie spectrale pour des opérateurs globalement elliptiques

    Bernard Helffer

  • Nodal Domains and Spectral Minimal Partitions

    B. Helffer;T. Hoffmann-Ostenhof;T. Hoffmann-Ostenhof;S. Terracini

  • Semiclassical Analysis for the Ground State Energy of a Schrödinger Operator with Magnetic Wells

    Bernard Helffer;Abderemane Mohamed

  • Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs

    Bernard Helffer;Jean Nourrigat

  • Spectral Theory and its Applications

    Bernard Helffer

  • Caracterisation des operateurs hypoelliptiques homogenes

    B. Helffer;J. Nourrigat

  • Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach

    Bernard Helffer;Markus Klein;Francis Nier

  • Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)

    B. Helffer;J. Sjöstrand

  • Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary

    Bernard Helffer;Francis Nier

Frequent Co-Authors

Johannes Sjöstrand
Johannes Sjöstrand University of Burgundy
Denis S. Grebenkov
Denis S. Grebenkov École Polytechnique
Susanna Terracini
Susanna Terracini University of Turin
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Monique Dauge
Monique Dauge University of Rennes
Laurent Veron
Laurent Veron François Rabelais University
Fred B. Weissler
Fred B. Weissler Université Paris Cité

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many graduates consider advancing their education with an 1 year MBA programs in USA, which offer a fast-tracked path to valuable business skills without a significant time commitment.

Online MBA programs also provide flexibility for students balancing work and study. Notably, several online MBA programs that accept transfer credits make it easier to continue education without losing progress from prior coursework. This can be especially beneficial for math majors pivoting towards business analytics or management roles.

A natural extension for Mathematics students is pursuing a data analytics master's degree, where they can leverage their strong analytical skills to harness big data and drive informed decision-making in various industries.

For those concerned about admissions competitiveness, exploring mba programs easy to get into can provide accessible options without compromising too much on quality. Overall, these pathways highlight how mathematics graduates can diversify and enhance their career prospects through strategic online education choices.

Best Scientists Citing Bernard Helffer

Trending Scientists