The Lenz shift and wiener sausage in riemannian manifolds

Isaac Chavel; Edgar A. Feldman

Compositio Mathematica (1986)

  • Volume: 60, Issue: 1, page 65-84
  • ISSN: 0010-437X

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Chavel, Isaac, and Feldman, Edgar A.. "The Lenz shift and wiener sausage in riemannian manifolds." Compositio Mathematica 60.1 (1986): 65-84. <http://eudml.org/doc/89798>.

@article{Chavel1986,
author = {Chavel, Isaac, Feldman, Edgar A.},
journal = {Compositio Mathematica},
keywords = {Laplace-Beltrami operator; Riemannian manifold; Wiener sausage},
language = {eng},
number = {1},
pages = {65-84},
publisher = {Martinus Nijhoff Publishers},
title = {The Lenz shift and wiener sausage in riemannian manifolds},
url = {http://eudml.org/doc/89798},
volume = {60},
year = {1986},
}

TY - JOUR
AU - Chavel, Isaac
AU - Feldman, Edgar A.
TI - The Lenz shift and wiener sausage in riemannian manifolds
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 1
SP - 65
EP - 84
LA - eng
KW - Laplace-Beltrami operator; Riemannian manifold; Wiener sausage
UR - http://eudml.org/doc/89798
ER -

References

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  1. [1] I. Chavel: Eigenvalues in Riemannian Geometry. Academic Press, New York, 1984. Zbl0551.53001MR768584
  2. [2] I. Chavel and E.A. Feldman: Diffusion on manifolds with small handles. Ind. U. Math. J., 34 (1985) 449-461. Zbl0574.58032MR794572
  3. [3] I. Chavel and E.A. Feldman: The Lenz shift and Wiener sausage in insulated domains Warwick Symposium on Stochastic Analysis (to appear). Zbl0616.60076MR894522
  4. [4] J. Cheeger and S.T. Yau: A lower bound for the heat kernel. Comm. Pure Appl. Math., 23 (1981) 465-480. Zbl0481.35003MR615626
  5. [5] J. Dodziuk: Maximum principles for parabolic inequalities and the heat flow on open manifolds. Ind. U. Math. J., 32 (1983) 703-716. Zbl0526.58047MR711862
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  7. [7] K. Karp and P. Li: The heat equation on complete Riemannian manifolds (to appear). 
  8. [8] S. Minakshisundaram: A generalization of Epstein zeta functions. Can. J. Math., 1 (1949) 320-329. Zbl0034.05103MR32861
  9. [9] S. Minakshisundaram: Eigenfunctions on Riemannian manifolds. J. Indian Math. Soc., 17 (1953) 158-165. Zbl0055.08702MR61750
  10. [10] S. Ozawa: Random media and eigenvalues of the Laplacian. Comm. Math. Phy., 94 (1984) 421-437. Zbl0555.35101MR763745
  11. [11] G.C. Papanicolaou and S.R.S. Varadhan: Diffusion in regions with many small holes. Lecture Notes in Control and Information, 75 (1980) 190-206, Springer Verlag, New York. Zbl0485.60076MR609184
  12. [12] S.C. Port and C.J. Stone: Brownian Motion and Classical Potential Theory. Academic Press, New York, 1978. Zbl0413.60067MR492329
  13. [13] J. Rauch and M. Taylor: Potential scattering on wildly perturbed domains. J. Fncl. Anal., 18 (1975) 27-59. Zbl0293.35056MR377303
  14. [14] B. Simon, Functional Integration and Quantum Physics. Academic Press, New York, 1979. Zbl0434.28013MR544188
  15. [15] F. Spitzer: Electrostatic capacity, heat flow, and Brownian motion. Z. Wahrsch., 3 (1964) 110-121. Zbl0126.33505MR172343

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