Francis Nier

Mathematical Physics · 2004–2011

A researcher in the Science corpus: 4 papers; trusts 5 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 7 citations into it; #605 of 8,562 by trust here, #1,050 by citations
• Applied Mathematics — 6 citations into it; #972 of 7,620 by trust here, #1,771 by citations
• Statistical and Nonlinear Physics — 6 citations into it; #1,446 of 10,127 by trust here, #3,513 by citations
• Computational Theory and Mathematics — 5 citations into it; #1,725 of 12,182 by trust here, #3,924 by citations

Whom Francis Nier trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bernard Helffer
2. Frédéric Hérau
3. Anton Bovier
4. F. Laudenbach
5. Barry Simon

Who trusts Francis Nier overall

1. Cédric Villani
2. Frédéric Hérau
3. Dorian Le Peutrec
4. Nils Berglund
5. Clément Mouhot
6. St'ephane Mischler
7. Bernard Helffer
8. Fabrice Baudoin
9. Laurent Desvillettes
10. Veronique Fischer

Papers from Francis Nier's perspective

Ordered by how strongly the researchers Francis Nier trusts endorse each paper. Same corpus, a different order for every researcher.

1. Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians
2. Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary
3. Metastability in reversible diffusion processes II. Precise asymptotics for small eigenvalues
4. Method of Modern Mathematical Physics
5. Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical Mechanics
6. Trace ideals and their applications
7. A Morse complex on manifolds with boundary
8. The hypoelliptic Laplacian and Ray-Singer metrics
9. On the null-controllability of the heat equation in unbounded domains
10. Null and approximate controllability for weakly blowing up semilinear heat equations

Their papers

• Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians (2005) — 354 citations
• Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary (2006) — 86 citations
• Precise Arrhenius Law for p-forms: The Witten Laplacian and Morse–Barannikov Complex (2011) — 51 citations
• Isotropic Hypoellipticity and Trend to Equilibrium for the Fokker-Planck Equation with a High-Degree Potential (2004) — 350 citations