SMF/AMS Texts & Monographs – serie
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Dynamical Properties of Diffeomorphisms of the Annulus and of the Torus
Av American Mathematical Society
Häftad, 2000
371 kr
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The first chapter of this monograph presents a survey of the theory of monotone twist maps of the annulus. First, the author covers the conservative case by presenting a short survey of Aubry-Mather theory and Birkhoff theory, followed by some criteria for existence of periodic orbits without the …
P-adic L-functions and P-adic Representations
Av American Mathematical Society
Häftad, 2000
818 kr
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Traditionally, $p$-adic $L$-functions have been constructed from complex $L$-functions via special values and Iwasawa theory. In this volume, Perrin-Riou presents a theory of $p$-adic $L$-functions coming directly from $p$-adic Galois representations (or, more generally, from motives). This theory …
Thermodynamic Formalism and Holomorphic Dynamical Systems
Av American Mathematical Society
Häftad, 1999
343 kr
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The purpose of thermodynamics and statistical physics is to understand the equilibrium of a gas or the different states of matter. To understand the strange fractal sets appearing when one iterates a quadratic polynomial is one of the goals of the theory of holomorphic dynamical systems. These two …
Hyperbolization Theorem for Fibered 3-manifolds
Av American Mathematical Society
Häftad, 2001
664 kr
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A fundamental element of the study of 3-manifolds is Thurston's remarkable geometrization conjecture, which states that the interior of every compact 3-manifold has a canonical decomposition into pieces that have geometric structures. In most cases, these structures are complete metrics of constant …
Schur Algorithm, Reproducing Kernel Spaces and System Theory
Av American Mathematical Society
Häftad, 2001
818 kr
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The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and …
Homotopy Theory of Schemes
Av Fabien Morel
Häftad, 2006
581 kr
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In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable base scheme $k$. He defines the homotopy category $h(\mathcal{E} k)$ of smooth $k$-schemes and shows that it plays the same role for …
Moduli Spaces of Curves, Mapping Class Groups and Field Theory
Av American Mathematical Society
Häftad, 2003
706 kr
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This is a collection of articles that grew out of a workshop organized to discuss deep links among various topics that were previously considered unrelated. Rather than a typical workshop, this gathering was unique as it was structured more like a course for advanced graduate students and research …
Complex Dynamics and Geometry
Av American Mathematical Society
Häftad, 2003
944 kr
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In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid …
Initiation to Logarithmic Sobolev Inequalities
Av American Mathematical Society
Häftad, 2007
581 kr
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This book provides an introduction to logarithmic Sobolev inequalities with some important applications to mathematical statistical physics. Royer begins by gathering and reviewing the necessary background material on selfadjoint operators, semigroups, Kolmogorov diffusion processes, solutions of …
