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Spectral Geometry (Hardcover)
Loot Price: R1,840
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Spectral Geometry (Hardcover)
Series: Proceedings of Symposia in Pure Mathematics
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This volume contains the proceedings of the International
Conference on Spectral Geometry, held July 19-23, 2010, at
Dartmouth College, Dartmouth, New Hampshire. Eigenvalue problems
involving the Laplace operator on manifolds have proven to be a
consistently fertile area of geometric analysis with deep
connections to number theory, physics, and applied mathematics. Key
questions include the measures to which eigenfunctions of the
Laplacian on a Riemannian manifold condense in the limit of large
eigenvalue, and the extent to which the eigenvalues and
eigenfunctions of a manifold encode its geometry. In this volume,
research and expository articles, including those of the plenary
speakers Peter Sarnak and Victor Guillemin, address the flurry of
recent progress in such areas as quantum unique ergodicity,
isospectrality, semiclassical measures, the geometry of nodal lines
of eigenfunctions, methods of numerical computation, and spectra of
quantum graphs. This volume also contains mini-courses on spectral
theory for hyperbolic surfaces, semiclassical analysis, and
orbifold spectral geometry that prepared the participants,
especially graduate students and young researchers, for conference
lectures.
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