Complex Analysis And Dynamical Systems Iv Function Theory And Optimization

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Complex Analysis and Dynamical Systems IV

Mark Lʹvovich Agranovskiĭ
Complex Analysis and Dynamical Systems IV Book PDF

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 43,8 Mb
Release : 2011
Category : Calculus of variations
ISBN : 9780821851968

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Complex Analysis and Dynamical Systems IV by Mark Lʹvovich Agranovskiĭ Pdf

The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of Lie groups, control theory, and optimization. Taken together, the articles provide the reader with a panorama of activity in complex analysis and quasiconformal mappings, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 554) is devoted to general relativity, geometry, and PDE.

Complex Analysis and Dynamical Systems IV

Mark Lʹvovich Agranovskiĭ
Complex Analysis and Dynamical Systems IV Book PDF

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 45,9 Mb
Release : 2011
Category : Calculus of variations
ISBN : 9780821851975

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Complex Analysis and Dynamical Systems IV by Mark Lʹvovich Agranovskiĭ Pdf

The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.

Complex Analysis and Dynamical Systems V

Mark Lʹvovich Agranovskiĭ,Matania Ben-Artzi,Greg Galloway,Lavi Karp,Vladimir Maz'Ya
Complex Analysis and Dynamical Systems V Book PDF

Author : Mark Lʹvovich Agranovskiĭ,Matania Ben-Artzi,Greg Galloway,Lavi Karp,Vladimir Maz'Ya
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 40,7 Mb
Release : 2013-06-03
Category : Mathematics
ISBN : 9780821890240

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Complex Analysis and Dynamical Systems V by Mark Lʹvovich Agranovskiĭ,Matania Ben-Artzi,Greg Galloway,Lavi Karp,Vladimir Maz'Ya Pdf

This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential

Complex Analysis and Dynamical Systems VI

Lawrence Zalcman
Complex Analysis and Dynamical Systems VI Book PDF

Author : Lawrence Zalcman
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 48,6 Mb
Release : 2016-05-19
Category : Calculus of variations
ISBN : 9781470417031

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Complex Analysis and Dynamical Systems VI by Lawrence Zalcman Pdf

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform

Matania Ben-Artzi, Greg Galloway,Lavi Karp,Dmitry Khavinson,Simeon Reich,Gilbert Weinstein,Lawrence Zalcman
Complex Analysis and Dynamical Systems VI Part 1 PDE Differential Geometry Radon Transform Book PDF

Author : Matania Ben-Artzi, Greg Galloway,Lavi Karp,Dmitry Khavinson,Simeon Reich,Gilbert Weinstein,Lawrence Zalcman
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 44,6 Mb
Release : 2015-12-03
Category : Calculus of variations
ISBN : 9781470416539

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Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform by Matania Ben-Artzi, Greg Galloway,Lavi Karp,Dmitry Khavinson,Simeon Reich,Gilbert Weinstein,Lawrence Zalcman Pdf

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Complex Analysis and Dynamical Systems

Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman
Complex Analysis and Dynamical Systems Book PDF

Author : Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman
Publisher : Birkhäuser
Page : 372 pages
File Size : 52,5 Mb
Release : 2018-01-31
Category : Mathematics
ISBN : 9783319701547

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Complex Analysis and Dynamical Systems by Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman Pdf

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.

Infinite Products of Operators and Their Applications

Simeon Reich,Alexander J. Zaslavski
Infinite Products of Operators and Their Applications Book PDF

Author : Simeon Reich,Alexander J. Zaslavski
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 44,8 Mb
Release : 2015-03-30
Category : Mathematics
ISBN : 9781470414801

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Infinite Products of Operators and Their Applications by Simeon Reich,Alexander J. Zaslavski Pdf

This volume contains the proceedings of the workshop on Infinite Products of Operators and Their Applications, held from May 21-24, 2012, at the Technion-Israel Institute of Technology, Haifa, Israel. The papers cover many different topics regarding infinite products of operators and their applications: projection methods for solving feasibility and best approximation problems, arbitrarily slow convergence of sequences of linear operators, monotone operators, proximal point algorithms for finding zeros of maximal monotone operators in the presence of computational errors, the Pascoletti-Serafini problem, remetrization for infinite families of mappings, Poisson's equation for mean ergodic operators, vector-valued metrics in fixed point theory, contractivity of infinite products and mean convergence theorems for generalized nonspreading mappings. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Amitsur Centennial Symposium

Avinoam Mann,Louis H. Rowen,David J. Saltman,Aner Shalev,Lance W. Small,Uzi Vishne
Amitsur Centennial Symposium Book PDF

Author : Avinoam Mann,Louis H. Rowen,David J. Saltman,Aner Shalev,Lance W. Small,Uzi Vishne
Publisher : American Mathematical Society, Bar-Ilan University
Page : 322 pages
File Size : 54,6 Mb
Release : 2024-05-14
Category : Mathematics
ISBN : 9781470475550

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Amitsur Centennial Symposium by Avinoam Mann,Louis H. Rowen,David J. Saltman,Aner Shalev,Lance W. Small,Uzi Vishne Pdf

This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field. The fifteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, Hopf algebras and braces, invariants, automorphisms and derivations.

Optimization and Dynamical Systems

Uwe Helmke,John B. Moore
Optimization and Dynamical Systems Book PDF

Author : Uwe Helmke,John B. Moore
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447134671

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Optimization and Dynamical Systems by Uwe Helmke,John B. Moore Pdf

This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.

Optimal Control Problems Arising in Mathematical Economics

Alexander J. Zaslavski
Optimal Control Problems Arising in Mathematical Economics Book PDF

Author : Alexander J. Zaslavski
Publisher : Springer Nature
Page : 387 pages
File Size : 53,7 Mb
Release : 2022-06-28
Category : Mathematics
ISBN : 9789811692987

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Optimal Control Problems Arising in Mathematical Economics by Alexander J. Zaslavski Pdf

This book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. They correspond to a general model of economic growth. We are interested in turnpike properties of approximate solutions and in the stability of the turnpike phenomenon under small perturbations of objective functions and constraint maps. The second class of autonomous optimal control problems corresponds to another general class of models of economic dynamics which includes the Robinson–Solow–Srinivasan model as a particular case. In Chap. 1 we discuss turnpike properties for a large class of discrete-time optimal control problems studied in the literature and for the Robinson–Solow–Srinivasan model. In Chap. 2 we introduce the first class of optimal control problems and study its turnpike property. This class of problems is also discussed in Chaps. 3–6. In Chap. 3 we study the stability of the turnpike phenomenon under small perturbations of the objective functions. Analogous results for problems with discounting are considered in Chap. 4. In Chap. 5 we study the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. Analogous results for problems with discounting are established in Chap. 6. The results of Chaps. 5 and 6 are new. The second class of problems is studied in Chaps. 7–9. In Chap. 7 we study the turnpike properties. The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In Chap. 9 we establish the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal control problems related to a model of knowledge-based endogenous economic growth and show the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.

Recent Trends in Nonlinear Partial Differential Equations

Patrizia Pucci
Recent Trends in Nonlinear Partial Differential Equations Book PDF

Author : Patrizia Pucci
Publisher : American Mathematical Soc.
Page : 340 pages
File Size : 55,8 Mb
Release : 2013
Category : Mathematics
ISBN : 9780821898611

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Recent Trends in Nonlinear Partial Differential Equations by Patrizia Pucci Pdf

This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28-June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday. The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations. In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume. The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.

Advances in Ultrametric Analysis

Khodr Shamseddine
Advances in Ultrametric Analysis Book PDF

Author : Khodr Shamseddine
Publisher : American Mathematical Soc.
Page : 305 pages
File Size : 54,8 Mb
Release : 2013
Category : Mathematics
ISBN : 9780821891421

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Advances in Ultrametric Analysis by Khodr Shamseddine Pdf

This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

Recent Advances in Real Complexity and Computation

Luis M. Pardo,Jose Luis Montaña
Recent Advances in Real Complexity and Computation Book PDF

Author : Luis M. Pardo,Jose Luis Montaña
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 54,8 Mb
Release : 2014-11-12
Category : Computers
ISBN : 9780821891506

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Recent Advances in Real Complexity and Computation by Luis M. Pardo,Jose Luis Montaña Pdf

This volume is composed of six contributions derived from the lectures given during the UIMP-RSME Lluis Santalo Summer School on ``Recent Advances in Real Complexity and Computation'', held July 16-20, 2012, in Santander, Spain. The goal of this Summer School was to present some of the recent advances on Smale's 17th Problem: ``Can a zero of $n$ complex polynomial equations in $n$ unknowns be found approximately, on the average, in polynomial time with a uniform algorithm?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects (both worse and average cases and both upper and lower complexity bounds) as well as aspects of the underlying geometry of the problem. Some of the contributions also deal with either real or multiple solutions solving.

Randomization, Relaxation, and Complexity in Polynomial Equation Solving

Leonid Gurvits
Randomization Relaxation and Complexity in Polynomial Equation Solving Book PDF

Author : Leonid Gurvits
Publisher : American Mathematical Soc.
Page : 230 pages
File Size : 46,5 Mb
Release : 2011
Category : Algorithms
ISBN : 9780821852286

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Randomization, Relaxation, and Complexity in Polynomial Equation Solving by Leonid Gurvits Pdf

This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010. It contains a sample of advanced algorithmic techniques underpinning the solution of systems of polynomial equations. The papers are written by leading experts in algorithmic algebraic geometry and examine core topics.

Representation Theory and Mathematical Physics

Jeffrey Adams,Bong Lian,Siddhartha Sahi
Representation Theory and Mathematical Physics Book PDF

Author : Jeffrey Adams,Bong Lian,Siddhartha Sahi
Publisher : American Mathematical Soc.
Page : 404 pages
File Size : 46,5 Mb
Release : 2011-11-07
Category : Mathematics
ISBN : 9780821852460

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Representation Theory and Mathematical Physics by Jeffrey Adams,Bong Lian,Siddhartha Sahi Pdf

This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role in mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry.