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Results tagged with laplacian
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user 1345
The Laplacian matrix is the representation of a graph in matrix form.
13
votes
Explicit eigenvalues of the Laplacian
Jeffrey Weeks has computed the spectra of homogeneous elliptic manifolds.
For arithmetic hyperbolic manifolds, the spectrum is in principle computable in
the sense that one may define a Selberg zeta …
- 68.9k
9
votes
Accepted
The smallest positive eigenvalue and the length of the shortest geodesic
There is some relation between the lengths of geodesics and the eigenvalues of the Laplacian. In principle, Selberg's trace formula can determine one from the other. …
- 68.9k