Spectral gap of Boltzmann measures on unit circle

DOI10.1007/s11464-021-0892-yzbMath1475.60046OpenAlexW3120023156MaRDI QIDQ2048177

Zhengliang Zhang, Yu Tao Ma

Publication date: 5 August 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0892-y

zbMATH Keywords

Poincaré inequalityunit circlespectral gapBoltzmann measure

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Lipschitzian norm estimate of one-dimensional Poisson equations and applications
• Uniform logarithmic Sobolev inequality for Boltzmann measures with exterior magnetic field over spheres
• Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution
• On the spectral gap of Boltzmann measures on the unit sphere
• Explicit bounds of the first eigenvalue.
• Variational formulas and approximation theorems for the first eigenvalue in dimension one
• Analytic proof of dual variational formula for the first eigenvalue in dimension one
• Dual variational formulas for the first Dirichlet eigenvalue on half-line
• Logarithmic Sobolev inequalities for harmonic measures on spheres
• Analysis and Geometry of Markov Diffusion Operators

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