Factorizable Sheaves and Quantum Groups
Factorizable Sheaves and Quantum Groups

Author: Roman Bezrukavnikov

Publisher: Springer

Published: 2006-11-14

Total Pages: 300

ISBN-13: 3540692312

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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.

Axiom of Choice
Axiom of Choice

Author: Horst Herrlich

Publisher: Springer

Published: 2006-07-21

Total Pages: 207

ISBN-13: 3540342680

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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.

Seminaire de Probabilites XXXIV
Seminaire de Probabilites XXXIV

Author: J. Azema

Publisher: Springer

Published: 2007-05-06

Total Pages: 441

ISBN-13: 3540464131

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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.

Arithmetic Theory of Elliptic Curves
Arithmetic Theory of Elliptic Curves

Author: J. Coates

Publisher: Springer Science & Business Media

Published: 1999-10-19

Total Pages: 276

ISBN-13: 9783540665465

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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.

Periodic Solutions of the N-Body Problem
Periodic Solutions of the N-Body Problem

Author: Kenneth R. Meyer

Publisher: Springer Science & Business Media

Published: 1999-11-17

Total Pages: 172

ISBN-13: 9783540666301

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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.

Cooperative Decision Making in Common Pool Situations
Cooperative Decision Making in Common Pool Situations

Author: Holger I. Meinhardt

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 212

ISBN-13: 3642561365

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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.

The Wulff Crystal in Ising and Percolation Models
The Wulff Crystal in Ising and Percolation Models

Author: Raphaël Cerf

Publisher: Springer Science & Business Media

Published: 2006-05-12

Total Pages: 267

ISBN-13: 3540309888

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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.

Asymptotics for Dissipative Nonlinear Equations
Asymptotics for Dissipative Nonlinear Equations

Author: Nakao Hayashi

Publisher: Springer

Published: 2006-08-23

Total Pages: 570

ISBN-13: 3540320601

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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.

Introduction to Symplectic Dirac Operators
Introduction to Symplectic Dirac Operators

Author: Katharina Habermann

Publisher: Springer

Published: 2006-10-28

Total Pages: 131

ISBN-13: 3540334211

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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.

The Lace Expansion and its Applications
The Lace Expansion and its Applications

Author: Gordon Slade

Publisher: Springer Science & Business Media

Published: 2006-05-17

Total Pages: 233

ISBN-13: 3540311890

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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.