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Capacity theory on algebraic curves par Rumely, Robert S. Publication : Berlin | Heidelberg Springer 1989 . 438 p. , Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a generalization of a theorem of Fekete and Szeg� which gives a sharp existence/finiteness criterion for algebraic points whose conjugates lie near a specified set on a curve. The book brings out a deep connection between the classical Green's functions of analysis and N�ron's local height pairings; it also points to an interpretation of capacity as a kind of intersection index in the framework of Arakelov Theory. It is a research monograph and will primarily be of interest to number theorists and algebraic geometers; because of applications of the theory, it may also be of interest to logicians. The theory presented generalizes one due to David Cantor for the projective line. As with most adelic theories, it has a local and a global part. Let /K be a smooth, complete curve over a global field; let Kv denote the algebraic closure of any completion of K. The book first develops capacity theory over local fields, defining analogues of the classical logarithmic capacity and Green's functions for sets in (Kv). It then develops a global theory, defining the capacity of a galois-stable set in (Kv) relative to an effictive global algebraic divisor. The main technical result is the construction of global algebraic functions whose logarithms closely approximate Green's functions at all places of K. These functions are used in proving the generalized Fekete-Szeg� theorem; because of their mapping properties, they may be expected to have other applications as well. 23 cm. Date : 1989 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Classical potential theory and its probabilistic counterpart par Doob, Joseph L. Publication : Berlin Springer 2001 . xxiii-846 p. , From the reviews: "Here is a momumental work by Doob, one of the masters, in which Part 1 develops the potential theory associated with Laplace's equation and the heat equation, and Part 2 develops those parts (martingales and Brownian motion) of stochastic process theory which are closely related to Part 1". --G.E.H. Reuter in Short Book Reviews (1985) 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Compactification des espaces harmoniques par Meghea,, Constantin. Publication : [S.l.] Springer, 1971 . 114 p. 24 cm. Date : 1971 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Determining spectra in quantum theory par Demuth, Michael. Publication : [S.l.] Birkhuser Boston 2005 . 229 p. ; , This work focuses on various known criteria in the spectral theory of selfadjoint operators. The concise, unified presentation is aimed at graduate students and researchers working in the spectral theory of Schrodinger operators with either fixed or random potentials. But given the large gap this book fills in the literature, it will serve a wider audience of mathematical physicists in its contribution to works in spectral theory. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Elements of Green's functions and propagation potentials, diffusion, and waves par Barton, Gabriel. Publication : Oxford | New York Clarendon Press | Oxford University Press 1989 . xiii, 465 pages , Includes index. 24 cm. Date : 1989 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Harmonic measure par Garnett, John B. Publication : Cambridge | New York Cambridge University Press 2005 . xv, 571 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Lectures on Probability Theory and Statistics : Ecole d'été de Probabilités de Saint-Flour XXXIII - 2003 / par Picard, Jean, Publication : Berlin Heidelberg : Springer-Verlag., 2005 . 1 online resource. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Multiscale potential theory with applications to geoscience par Freeden, Willi. Publication : Boston Birkhauser Boston 2004 . xvi-509 p. , This self-contained text/reference provides a basic foundation for practitioners, researchers, and students interested in any of the diverse areas of multiscale (geo)potential theory. New mathematical methods are developed enabling the gravitational potential of a planetary body to be modeled using a continuous flow of observations from land or satellite devices. Harmonic wavelets methods are introduced, as well as fast computational schemes and various numerical test examples. Presented are multiscale approaches for numerous geoscientific problems, including geoidal determination, magnetic field reconstruction, deformation analysis, and density variation modelling With exercises at the end of each chapter, the book may be used as a textbook for graduate-level courses in geomathematics, applied mathematics, and geophysics. The work is also an up-to-date reference text for geoscientists, applied mathematicians, and en 25 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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The Gaussian approximation potential an interatomic potential derived from first principles quantum mechanics par Bartók-Pártay, Albert. Publication : Heidelberg | New York Springer, c2010. . xiii, 88 pages 24 cm. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

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Probabilities and potential / par Dellacherie, Claude. Publication : . 1 online resource (v. <1-3>) , Translation of Probabilité et potentiel. | Vol. 2 has imprint: Amsterdam ; New York : North-Holland Pub. Company ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Company. | Vol. 3 translated and prepared by J. Norris. Disponibilité :  http://www.sciencedirect.com/science/book/9780720407013,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=29,

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Probabilities and potential B / par Dellacherie, Claude. Publication : . 1 online resource (v. <2>) , Translation of: Probabilités et potentiel. | Includes indexes. Disponibilité :  http://www.sciencedirect.com/science/book/9780444865267,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=72,

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Probabilities and potential C : potential theory for discrete and continuous semigroups / par Dellacherie, Claude. Publication : . 1 online resource (xiv, 416 pages) : , Translation of: Probabilités et potentiel C. Disponibilité :  http://www.sciencedirect.com/science/book/9780444703866,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=151,

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Markov processes and potential theory / par Blumenthal, R. M. Publication : . 1 online resource (x, 313 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780123745729,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=29,

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Potential Theory par Helms, Lester L. Publication : . XIV, 485 p. 2 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6422-7,

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Distributions, Partial Differential Equations, and Harmonic Analysis par Mitrea, Dorina. Publication : . XXI, 460 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-8208-6,

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Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory par Tolsa, Xavier. Publication : . XIII, 396 p. 8 illus. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-00596-6,

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Invariant Probabilities of Transition Functions par Zaharopol, Radu. Publication : . XVIII, 389 p. Disponibilité :  http://dx.doi.org/10.1007/978-3-319-05723-1,

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