Lectures On The Automorphism Groups Of Kobayashi Hyperbolic Manifolds

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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Alexander Isaev
Lectures on the Automorphism Groups of Kobayashi Hyperbolic Manifolds Book PDF

Author : Alexander Isaev
Publisher : Springer
Page : 144 pages
File Size : 48,6 Mb
Release : 2007-03-11
Category : Mathematics
ISBN : 9783540691532

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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds by Alexander Isaev Pdf

In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups that were extensively studied in the 1950s-70s.

Handbook of Complex Analysis

Steven G. Krantz
Handbook of Complex Analysis Book PDF

Author : Steven G. Krantz
Publisher : CRC Press
Page : 519 pages
File Size : 51,5 Mb
Release : 2022-03-07
Category : Mathematics
ISBN : 9781351663052

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Handbook of Complex Analysis by Steven G. Krantz Pdf

In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology. This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role. This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought. The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.

Hyperbolic Manifolds and Holomorphic Mappings

Shoshichi Kobayashi
Hyperbolic Manifolds and Holomorphic Mappings Book PDF

Author : Shoshichi Kobayashi
Publisher : World Scientific
Page : 161 pages
File Size : 45,7 Mb
Release : 2005
Category : Mathematics
ISBN : 9789812564962

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Hyperbolic Manifolds and Holomorphic Mappings by Shoshichi Kobayashi Pdf

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections ?invariant metrics and pseudo-distances? and ?hyperbolic complex manifolds? within the section ?holomorphic mappings?. The invariant distance introduced in the first edition is now called the ?Kobayashi distance?, and the hyperbolicity in the sense of this book is called the ?Kobayashi hyperbolicity? to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.

Geometric Function Theory in Higher Dimension

Filippo Bracci
Geometric Function Theory in Higher Dimension Book PDF

Author : Filippo Bracci
Publisher : Springer
Page : 182 pages
File Size : 55,8 Mb
Release : 2018-03-24
Category : Mathematics
ISBN : 9783319731261

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Geometric Function Theory in Higher Dimension by Filippo Bracci Pdf

The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

The Geometry of Complex Domains

Robert E. Greene,Kang-Tae Kim,Steven G. Krantz
The Geometry of Complex Domains Book PDF

Author : Robert E. Greene,Kang-Tae Kim,Steven G. Krantz
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 49,6 Mb
Release : 2011-05-18
Category : Mathematics
ISBN : 9780817646226

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The Geometry of Complex Domains by Robert E. Greene,Kang-Tae Kim,Steven G. Krantz Pdf

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

Zeta Functions of Groups and Rings

Marcus du Sautoy,Luke Woodward
Zeta Functions of Groups and Rings Book PDF

Author : Marcus du Sautoy,Luke Woodward
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 44,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9783540747017

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Zeta Functions of Groups and Rings by Marcus du Sautoy,Luke Woodward Pdf

Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.

Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication

Christian Rohde
Cyclic Coverings Calabi Yau Manifolds and Complex Multiplication Book PDF

Author : Christian Rohde
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 41,6 Mb
Release : 2009-04-28
Category : Mathematics
ISBN : 9783642006388

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Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication by Christian Rohde Pdf

The main goal of this book is the construction of families of Calabi-Yau 3-manifolds with dense sets of complex multiplication fibers. The new families are determined by combining and generalizing two methods. Firstly, the method of E. Viehweg and K. Zuo, who have constructed a deformation of the Fermat quintic with a dense set of CM fibers by a tower of cyclic coverings. Using this method, new families of K3 surfaces with dense sets of CM fibers and involutions are obtained. Secondly, the construction method of the Borcea-Voisin mirror family, which in the case of the author's examples yields families of Calabi-Yau 3-manifolds with dense sets of CM fibers, is also utilized. Moreover fibers with complex multiplication of these new families are also determined. This book was written for young mathematicians, physicists and also for experts who are interested in complex multiplication and varieties with complex multiplication. The reader is introduced to generic Mumford-Tate groups and Shimura data, which are among the main tools used here. The generic Mumford-Tate groups of families of cyclic covers of the projective line are computed for a broad range of examples.

Introduction to Complex Reflection Groups and Their Braid Groups

Michel Broué
Introduction to Complex Reflection Groups and Their Braid Groups Book PDF

Author : Michel Broué
Publisher : Springer
Page : 144 pages
File Size : 54,5 Mb
Release : 2010-01-28
Category : Mathematics
ISBN : 9783642111754

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Introduction to Complex Reflection Groups and Their Braid Groups by Michel Broué Pdf

This book covers basic properties of complex reflection groups, such as characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, including the basic findings of Springer theory on eigenspaces.

Simplicial Complexes of Graphs

Jakob Jonsson
Simplicial Complexes of Graphs Book PDF

Author : Jakob Jonsson
Publisher : Springer
Page : 382 pages
File Size : 54,9 Mb
Release : 2007-12-10
Category : Mathematics
ISBN : 9783540758594

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Simplicial Complexes of Graphs by Jakob Jonsson Pdf

A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.

Stochastic Calculus for Fractional Brownian Motion and Related Processes

Yuliya Mishura
Stochastic Calculus for Fractional Brownian Motion and Related Processes Book PDF

Author : Yuliya Mishura
Publisher : Springer
Page : 398 pages
File Size : 50,7 Mb
Release : 2008-04-12
Category : Mathematics
ISBN : 9783540758730

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Stochastic Calculus for Fractional Brownian Motion and Related Processes by Yuliya Mishura Pdf

This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.

Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

Ivan Veselic
Existence and Regularity Properties of the Integrated Density of States of Random Schr dinger Operators Book PDF

Author : Ivan Veselic
Publisher : Springer Science & Business Media
Page : 151 pages
File Size : 46,9 Mb
Release : 2008-01-02
Category : Mathematics
ISBN : 9783540726890

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Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators by Ivan Veselic Pdf

This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.

From Hahn-Banach to Monotonicity

Stephen Simons
From Hahn Banach to Monotonicity Book PDF

Author : Stephen Simons
Publisher : Springer
Page : 248 pages
File Size : 46,7 Mb
Release : 2008-02-22
Category : Mathematics
ISBN : 9781402069192

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From Hahn-Banach to Monotonicity by Stephen Simons Pdf

This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.

Stability of Nonautonomous Differential Equations

Luis Barreira,Claudia Valls
Stability of Nonautonomous Differential Equations Book PDF

Author : Luis Barreira,Claudia Valls
Publisher : Springer
Page : 291 pages
File Size : 45,7 Mb
Release : 2007-09-26
Category : Mathematics
ISBN : 9783540747758

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Stability of Nonautonomous Differential Equations by Luis Barreira,Claudia Valls Pdf

This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Michael Wilson
Weighted Littlewood Paley Theory and Exponential Square Integrability Book PDF

Author : Michael Wilson
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 43,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9783540745822

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Weighted Littlewood-Paley Theory and Exponential-Square Integrability by Michael Wilson Pdf

Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

Tutorials in Mathematical Biosciences IV

Avner Friedman
Tutorials in Mathematical Biosciences IV Book PDF

Author : Avner Friedman
Publisher : Springer
Page : 210 pages
File Size : 53,7 Mb
Release : 2008-04-26
Category : Mathematics
ISBN : 9783540743316

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Tutorials in Mathematical Biosciences IV by Avner Friedman Pdf

This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.