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Science/Engineering Statistical Mechanics, Third Edition
Science/Engineering Essentials of Toxic Chemical Risk: Science and Society
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Science/Engineering Testtheorie und Fragebogenkonstruktion (Springer-Lehrbuch)
Science/Engineering Centrifugal Pumps, 2nd Edition
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Science/Engineering Networks, Crowds, and Markets: Reasoning About a Highly Connected World {repost}
Science/Engineering Introduction to Biophotonics (repost)
Science/Engineering The Art and Science of Psychotherapy (repost)
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Science/Engineering "Emulsion Science: Basic Principles" (repost)
Science/Engineering Elementary Principles of Chemical Processes 3rd edition
Science/Engineering Boundary Element Analysis (repost)
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Science/Engineering A Practical Handbook of Preparative HPLC by Donald A. Wellings (Repost)
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Science/Engineering Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces
Posted on 2010-03-16
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More Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces (Memoirs of the American Mathematical Society) By Steven Zelditch This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The author's results give a quantitative form to Bowen's equidistribution theory: they refine Bowen's theorem much as the prime geodesic theorem on hyperbolic quotients refines the asymptotic formula for the number of closed geodesics of length less than T. In particular, the author gives a rate of equidistribution in terms of low eigenvalues of the Laplacian. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle. The main result here (which is needed for the equidistribution theory of closed geodesics) is a proof of a signed and averaged version of the mean Lindelof hypothesis for Rankin-Selberg zeta functions. The main tool used here is a generalization of Selberg's trace formula. -<To fans of interesting, necessary and useful books CLICK HERE>-
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