Lower bounds on \(\| K^ n \|_{1\to \infty}\) for some contractions \(K\) of \(L^ 2 (\mu)\), with applications to Markov operators

DOI10.1007/BF01461012zbMath0836.47021OpenAlexW2025483481MaRDI QIDQ1906497

Françoise Lust-Piquard

Publication date: 25 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165388

zbMATH Keywords

selfadjoint contractionheat operator on some Riemannian manifolds with bounded below Ricci curvatureMarkov operators on groups and graphsmeasured space

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov semigroups and applications to diffusion processes (47D07) Linear operators on function spaces (general) (47B38) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (6)

On-diagonal lower bounds for heat kernels and Markov chains ⋮ Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs ⋮ On-diagonal lower estimate of heat kernels on graphs ⋮ Spread out random walks on homogeneous spaces ⋮ A geometric approach to on-diagonal heat kernel lower bounds on groups. ⋮ On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations

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