Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds

Author:

Chavel Isaac,Feldman Edgar A.

Publisher

Duke University Press

Subject

General Mathematics

Reference26 articles.

1. [3] I. Chavel, Eigenvalues in Riemannian geometry, Pure and Applied Mathematics, vol. 115, Academic Press Inc., Orlando, FL, 1984.

2. [1] P. Buser, A note on the isoperimetric constant, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 2, 213–230.

3. [2] E. A. Carlen, S. Kusuoka, and D. W. Stroock, Upper bounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré Probab. Statist. 23 (1987), no. 2, suppl., 245–287.

4. [4] I. Chavel and E. A. Feldman, Isoperimetric constants, the geometry of ends, and large time heat diffusion in Riemannian manifolds, Proc. London Math. Soc. (3) 62 (1991), no. 2, 427–448.

5. [5] I. Chavel, E. A. Feldman, and L. Karp, Large time decay of the heat kernel of $\lambda$-transient Riemannian manifolds, preprint.

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