First Dirichlet eigenvalue and exit time moments: a survey
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Publication:6120646
DOI10.1007/978-3-031-39916-9_6OpenAlexW4387758243MaRDI QIDQ6120646
Publication date: 25 March 2024
Published in: New Trends in Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-39916-9_6
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
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- Estimates of the first Dirichlet eigenvalue from exit time moment spectra
- On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue
- Function theory on manifolds which possess a pole
- Comparison of exit moment spectra for extrinsic metric balls
- Bounds for the first eigenvalue of a spherical cap
- Asymptotic estimates for the principal eigenvalue of the Laplacian in a geodesic ball
- Barta's inequalities and the first eigenvalue of a cap domain of a 2- sphere
- Eigenvalue comparison theorems and its geometric applications
- Eigenvalue estimates for submanifolds with locally bounded mean curvature
- Comparison results, exit time moments, and eigenvalues on Riemannian manifolds with a lower Ricci curvature bound
- Dirichlet spectrum and heat content
- Exit times, moment problems and comparison theorems
- Green functions and the Dirichlet spectrum
- An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
- Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity
- On Cheng's eigenvalue comparison theorem
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- How to obtain transience from bounded radial mean curvature
- First eigenvalue of the Laplacian of a geodesic ball and area-based symmetrization of its metric tensor
- Exit time moments and eigenvalue estimates
- Riemannian Geometry
- TORSIONAL RIGIDITY OF MINIMAL SUBMANIFOLDS
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space
- Isoperimetric conditions, Poisson problems, and diffusions in Riemannian manifolds
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