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Book Description Condition: As New. Unread copy in perfect condition. Book Description Springer , Book Description Springer, Condition: Neu. Neuware - Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature -1, namely the geodesic and horocycle flows. Seller Rating:. Available From More Booksellers.
- Geodesic and Horocyclic Trajectories (Universitext).
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Stock Image. Published by Springer London , London New Paperback Quantity Available: 1. Geodesic and Horocyclic Trajectories Dal'bo, Francoise. New Quantity Available: 2. Used Quantity Available: 2. Published by Springer New Paperback Quantity Available: 2.
Geodesic and Horocyclic Trajectories / Edition 1
Chiron Media Wallingford, United Kingdom. New Paperback Quantity Available: Published by Springer-Verlag Gmbh Nov We explain, in details, such phenomena as the quantum ergodicity and the quantum unique ergodicity in the setting of arithmetic surfaces. The highlight of the course would be an outline Lindenstrauss' proof of arithmetic quantum unique ergodicity.
We plan to cover the following topics: basic hyperbolic geometry, geometric and arithmetic examples of hyperbolic surfaces, geodesic and horocycle flows, ergodicity and mixing properties, invariant measures for the horocycle flow, Casimir and Laplace operator, microlocal lift and quantum ergodicity, Hecke operators and arithmetic quantum unique ergodicity. Lecture notes: Lecture Hyperbolic plane and hyperbolic surfaces Lecture 3: Geodesic flow: mixing, Anosov closing lemma Lecture 4: Horocycle flow: mixing, unique ergodicity Lecture 5: Laplace operator and its spectral decomposition Lecture 6: Trace formula and the Weyl law Lecture 7: Microlocal lift and quantum ergodicity Lecture 8: Hecke operatators and recurrence of eigenstates Lecture 9: Entropy of quantum limits.
Course Assessment: The course is assessed by the above problem sheets. Solutions for 10 problems have to be submitted by April References: B. Bekka and M. Mayer, Ergodic theory and topological dynamics of group actions on homogeneous spaces. Cambridge University Press, Buser, Geometry and spectra of compact Riemann surfaces.
Geodesic and Horocyclic Trajectories
Birkhauser, Dal'Bo, Geodesic and horocyclic trajectories. Universitext, Einsiedler and E. Lindenstrauss, Diagonal actions on locally homogeneous spaces.
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