Noyau de la chaleur et discrétisation d'une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold)
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Publication:1802788
DOI10.1007/BF02808072zbMath0772.58055MaRDI QIDQ1802788
Publication date: 29 June 1993
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Sums of independent random variables; random walks (60G50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (12)
Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample ⋮ Hardy and \textit{BMO} spaces on graphs, application to Riesz transform ⋮ Dimensions at infinity for Riemannian manifolds ⋮ \(p\)-harmonic functions on graphs and manifolds ⋮ Graph‐like spaces approximated by discrete graphs and applications ⋮ Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds ⋮ Riesz transform on manifolds and heat kernel regularity ⋮ Heat kernel on manifolds with ends ⋮ Riesz potentials and amalgams ⋮ Estimates for functions of the Laplace operator on homogeneous trees ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds ⋮ Weighted norm inequalities for spectral multipliers on graphs
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- Rough isometries and the parabolicity of Riemannian manifolds
- Hardy-Littlewood theory for semigroups
- Upper bounds for symmetric Markov transition functions
- The fundamental group and the spectrum of the Laplacian
- Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
- A note on curvature and fundamental group
- Theorie du Potentiel sur les Graphes et les Varietes
- Isoperimetric Constants, the Geometry of Ends, and Large Time Heat Diffusion in Riemannian Manifolds
- Some isoperimetric inequalities and eigenvalue estimates
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
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