Estimates of eigenvalues of the Laplacian by a reduced number of subsets
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Publication:522317
DOI10.1007/s11856-017-1453-7zbMath1368.53033arXiv1601.07581OpenAlexW2531543757MaRDI QIDQ522317
Publication date: 28 April 2017
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.07581
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Related Items (2)
Metric measure geometry: An approach to high-dimensional and infinite-dimensional spaces ⋮ Multiple sets exponential concentration and higher order eigenvalues
Cites Work
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- A topological splitting theorem for weighted Alexandrov spaces
- From concentration to logarithmic Sobolev and Poincaré inequalities
- Ricci curvature on Alexandrov spaces and rigidity theorems
- Existence and uniqueness of optimal maps on Alexandrov spaces
- Isoperimetric and concentration inequalities: equivalence under curvature lower bound
- On the role of convexity in isoperimetry, spectral gap and concentration
- Unconditional and symmetric sets in \(n\)-dimensional normed spaces
- Eigenvalue estimates on homogeneous manifolds
- A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
- Estimates on eigenvalues of Laplacian
- Convex functionals of probability measures and nonlinear diffusions on manifolds
- Upper bounds for eigenvalues of the discrete and continuous Laplace operators
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Concentration, Ricci curvature, and eigenvalues of Laplacian
- Ricci curvature for metric-measure spaces via optimal transport
- Prékopa-Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Alexandrov meets Lott--Villani--Sturm
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Isoperimetric Bounds on Convex Manifolds
- A Topological Application of the Isoperimetric Inequality
- A.D. Alexandrov spaces with curvature bounded below
- Improved Cheeger's inequality
- Optimal Transport
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Polar factorization of maps on Riemannian manifolds
- Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces
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