Albanese maps and off diagonal long time asymptotics for the heat kernel

Communications in Mathematical Physics

Volumn 209, Issue 3, 2000, Pages 633-670

  Kotani, Motoko ^a,b   Sunada, Toshikazu ^b  

^a TOHO UNIVERSITY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348848     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050033     Document Type: Article

References (9)

1. 1. Kanai, M.: Rough isometry, and combinatorial approximation of geometries of noncompact Riemannian manifolds. J. Math. Soc. Japan 37, 391-413 (1985)
2. 2. Kannai, Y.: Off diagonal short time asymptotics for fundamental solutions of diffusion equations. Comm. in P.D.E. 2, 781-830 (1997)
3. 3. Katsuda, A. and Sunada, T.: Homology and closed geodesics in a compact Riemann surface. Am. J. Math. 109, 141-156 (1987)
4. 4. Kotani, M., Shirai, S. and Sunada, T.: Asymptotic behavior of the transition probability of a random walk on an infinite graph. J. Funct. Anal. 159, 669-689 (1998)
5. 5. Kotani, M. and Sunada, T.: Standard realizations of crystal lattices via harmonic maps. To appear in Trans. Amer. Mth. Soc.
6. 6. Molchanov, S.A.: Diffusion process and Riemannian geometry. Russian Math. Surveys 30, 1-63 (1975)
7. 7. Nagano, T. and Smyth, B.: Minimal varieties and harmonic maps in tori. Comm. Math. Helv. 50, 249-265 (1975)
8. 8. Spitzer, F.: Principles of random walk. Princeton, NJ: D. Van. Nostrand, 1964
9. 9. Sunada, T.: Unitary representations of fundamental groups and the spectrum of twisted Laplacians. Topology 28, 125-132 (1989)