Return to Equilibrium, Non-self-adjointness and Symmetries, Recent Results with M. Hitrik and F. Hérau

DOI10.1007/978-3-319-08557-9_7zbMath1327.35280OpenAlexW961066295MaRDI QIDQ2950065

Johannes Sjöstrand

Publication date: 5 October 2015

Published in: Operator-Related Function Theory and Time-Frequency Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08557-9_7

zbMATH Keywords

Schrödinger operatorsreturn to equilibriumWitten LaplacianKramers-Fokker-Planck operatorsupersymmetric structures

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fokker-Planck equations (35Q84) PDEs on manifolds (35R01)

Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Convergent expansions for tunneling
• Double wells
• Supersymmetry and Morse theory
• The Fokker-Planck equation. Methods of solution and applications.
• Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex
• Tunnel effect for Kramers-Fokker-Planck type operators
• Kramers equation and supersymmetry
• Supersymmetric structures for second order differential operators
• Tunnel effect and symmetries for Kramers–Fokker–Planck type operators
• Small eigenvalues of the Witten Laplacian acting on p-forms on a surface
• Multiple wells in the semi-classical limit I
• Tunnel Effect for Kramers-Fokker-Planck Type Operators: Return to Equilibrium and Applications
• Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• The hypoelliptic Laplacian on the cotangent bundle
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation

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