On how to use drift to push the spectral gap of a diffusion on $S^{2}$ to infinity

DOI10.1090/qam/1426zbMath1338.35197OpenAlexW2315441096MaRDI QIDQ2809455

Nejib Yaakoubi, Brice Franke

Publication date: 30 May 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1426

Mathematics Subject Classification ID

Heat equation (35K05) Spectrum, resolvent (47A10) Diffusion processes (60J60)

Related Items

Accelerating planar Ornstein-Uhlenbeck diffusion with suitable drift ⋮ Optimal Variance Reduction for Markov Chain Monte Carlo ⋮ Accelerating diffusion on compact Riemannian surfaces by incompressible drift ⋮ Accelerating diffusion by incompressible drift on the two-dimensional torus

Cites Work

• Accelerating Brownian motion on \(N\)-torus
• Accelerating diffusions
• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Integral inequalities for the fundamental solutions of diffusions on manifolds with divergence-free drift
• Diffusion and mixing in fluid flow
• The behavior of the spectral gap under growing drift
• Weakly Differentiable Functions
• Ordinary Differential Equations
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