Spectral estimates, contractions and hypercontractivity

DOI10.4171/JST/210zbMath1396.35005arXiv1508.00606OpenAlexW2963246207MaRDI QIDQ1650235

Emanuel Milman

Publication date: 2 July 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00606

zbMATH Keywords

Riemann manifoldweighted Laplacianestimates for the discrete eigenvalues

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (11)

Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces ⋮ SYMMETRIZED TALAGRAND INEQUALITIES ON EUCLIDEAN SPACES ⋮ A proof of the Caffarelli contraction theorem via entropic regularization ⋮ Short-time behavior of the heat kernel and Weyl's law on \(\mathrm{RCD}^*(K,N)\) spaces ⋮ Spectral convergence of high-dimensional spheres to Gaussian spaces ⋮ Exact renormalization groups and transportation of measures ⋮ Transportation onto log-Lipschitz perturbations ⋮ Bounds on optimal transport maps onto log-concave measures ⋮ Multiple sets exponential concentration and higher order eigenvalues ⋮ A note on eigenvalues estimates for one-dimensional diffusion operators ⋮ Stability of higher order eigenvalues in dimension one

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