Probabilistic method to fundamental gap problems on the sphere

DOI10.1090/TRAN/9285MaRDI QIDQ6653787

Gunhee Cho, Guang Yang, Guofang Wei

Publication date: 17 December 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reflection coupling

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic processes (60Gxx) Differential geometry (53-XX)

Cites Work

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• A probabilistic proof of the fundamental gap conjecture via the coupling by reflection
• Maximal coupling of Euclidean Brownian motions
• Coupling of multidimensional diffusions by reflection
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• Fundamental gap estimate for convex domains on sphere -- the case \(n=2\)
• A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds
• Sharp fundamental gap estimate on convex domains of sphere
• Gradient estimates and the first Neumann eigenvalue on manifolds with boundary
• Stochastic analysis on manifolds
• Proof of the fundamental gap conjecture
• Fundamental Gap of Convex Domains in the Spheres
• Nonnegative ricci curvature and the brownian coupling property
• Probability
• Stochastic differential equations. An introduction with applications.

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