Download or read book Factorizable Sheaves and Quantum Groups written by Roman Bezrukavnikov and published by Springer. This book was released on 2006-11-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry.
Download or read book Axiom of Choice written by Horst Herrlich and published by Springer. This book was released on 2006-07-21 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
Download or read book Seminaire de Probabilites XXXIV written by J. Azema and published by Springer. This book was released on 2007-05-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 19 contributions to various subjects in the theory of (commutative and non-commutative) stochastic processes. It also provides a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering, by P. del Moral and L. Miclo.
Download or read book Arithmetic Theory of Elliptic Curves written by J. Coates and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
Download or read book Periodic Solutions of the N Body Problem written by Kenneth R. Meyer and published by Springer Science & Business Media. This book was released on 1999-11-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture Notes in Mathematics This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a new angle in a classical field 3. Summer schools and intensive courses on topics of current research Texts which are out of print but still in demand may also be considered. The timeliness of a manuscript is sometimes more important than its form, which might be preliminary or tentative. Details of the editorial policy can be found on the inside front-cover of a current volume. Manuscripts should be submitted in camera-ready form according to Springer-Verlag's specification: technical instructions will be sent on request. TEX macros may be found at: http://www.springer.de/math/authors/b-tex.html Select the version of TEX you use and then click on "Monographs". A subject index should be included. We recommend contacting the publisher or the series editors at an early stage of your project. Addresses are given on the inside back-cover.
Download or read book Cooperative Decision Making in Common Pool Situations written by Holger I. Meinhardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph gives a theoretical explanation of observed cooperative behavior in common pool situations. The incentives for cooperative decision making are investigated by means of a cooperative game theoretical framework. In a first step core existence results are worked out. Whereas general core existence results provide us with an answer for mutual cooperation, nothing can be said how strong these incentives and how stable these cooperative agreements are. To clarify these questions the convexity property for common pool TU-games in scrutinized in a second step. It is proved that the convexity property holds for a large subclass of symmetrical as well as asymmetrical cooperative common pool games. Core existence and the convexity results provide us with a theoretical explanation to bridge the gap between the observation in field studies for cooperation and the noncooperative prediction that the common pool resource will be overused and perhaps endangered.
Download or read book The Wulff Crystal in Ising and Percolation Models written by Raphaël Cerf and published by Springer Science & Business Media. This book was released on 2006-05-12 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.
Download or read book Asymptotics for Dissipative Nonlinear Equations written by Nakao Hayashi and published by Springer. This book was released on 2006-08-23 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Download or read book Introduction to Symplectic Dirac Operators written by Katharina Habermann and published by Springer. This book was released on 2006-10-28 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.
Download or read book The Lace Expansion and its Applications written by Gordon Slade and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models.
Download or read book Orthogonal Polynomials and Special Functions written by Francisco Marcellàn and published by Springer. This book was released on 2006-10-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The present set of lecture notes contains seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions.
Download or read book Power Sums Gorenstein Algebras and Determinantal Loci written by Anthony Iarrobino and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes. Of the many concrete examples given, some are calculated with the aid of the computer algebra program "Macaulay", illustrating the abstract material. The final chapter considers open problems. This book will be of interest to graduate students, beginning researchers, and seasoned specialists. Prerequisite is a basic knowledge of commutative algebra and algebraic geometry.
Download or read book In Memoriam Paul Andr Meyer S minaire de Probabilit s XXXIX written by Marc Yor and published by Springer. This book was released on 2006-10-17 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 39th volume of Séminaire de Probabilités is a tribute to the memory of Paul André Meyer. His life and achievements are recalled in this book, and tributes are paid by his friends and colleagues. This volume also contains mathematical contributions to classical and quantum stochastic calculus, the theory of processes, martingales and their applications to mathematical finance and Brownian motion. These contributions provide an overview on the current trends of stochastic calculus.
Download or read book The Art of Random Walks written by Andras Telcs and published by Springer. This book was released on 2006-10-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.
Download or read book Mixed Automorphic Forms Torus Bundles and Jacobi Forms written by Min Ho Lee and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.
Download or read book K3 Projective Models in Scrolls written by Trygve Johnsen and published by Springer Science & Business Media. This book was released on 2004 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Systems Graphs and Algorithms written by George Osipenko and published by Springer. This book was released on 2006-10-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
