Duke Mathematical Journal

Geodesics in homology classes

Ralph Phillips and Peter Sarnak

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Article information

Duke Math. J., Volume 55, Number 2 (1987), 287-297.

First available in Project Euclid: 20 February 2004

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 58F17
Secondary: 11F72: Spectral theory; Selberg trace formula 58F18


Phillips, Ralph; Sarnak, Peter. Geodesics in homology classes. Duke Math. J. 55 (1987), no. 2, 287--297. doi:10.1215/S0012-7094-87-05515-3. https://projecteuclid.org/euclid.dmj/1077306021

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  • [A] T. Adachi and T. Sunada, Homology of closed geodesics in a negatively curved manifold, preprint, 1986.
  • [E] C. Epstein, The spectral theory of geometrically periodic hyperbolic $3$-manifolds, Mem. Amer. Math. Soc. 58 (1985), no. 335, ix+161.
  • [F] H. Farkas and I. Kra, Riemann Surfaces, Graduate Texts in Mathematics, vol. 71, Springer-Verlag, New York, 1980.
  • [M] G. A. Margulis, Applications of ergodic theory to the investigations of manifolds of negative curvature, Func. Anal. and Appl. 3 (1969), 335–336.
  • [S] A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. (N.S.) 20 (1956), 47–87.