$n$-Harmonic Mappings between Annuli - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook $n$-Harmonic Mappings between Annuli write by Tadeusz Iwaniec. This book was released on 2012. $n$-Harmonic Mappings between Annuli available in PDF, EPUB and Kindle. Iwaniec and Onninen (both mathematics, Syracuse U., US) address concrete questions regarding energy minimal deformations of annuli in Rn. One novelty of their approach is that they allow the mappings to slip freely along the boundaries of the domains, where it is most difficult to establish the existence, uniqueness, and invertibility properties of the extremal mappings. At the core of the matter, they say, is the underlying concept of free Lagrangians. After an introduction, they cover in turn principal radial n-harmonics, and the n-harmonic energy. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings write by Frederick W. Gehring. This book was released on 2017-05-03. An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings available in PDF, EPUB and Kindle. This book offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. It is a careful and detailed introduction to the higher-dimensional theory of quasiconformal mappings from the geometric viewpoint, based primarily on the technique of the conformal modulus of a curve family. Notably, the final chapter describes the application of quasiconformal mapping theory to Mostow's celebrated rigidity theorem in its original context with all the necessary background. This book will be suitable as a textbook for graduate students and researchers interested in beginning to work on mapping theory problems or learning the basics of the geometric approach to quasiconformal mappings. Only a basic background in multidimensional real analysis is assumed.
Complex Analysis and Dynamical Systems III
Complex Analysis and Dynamical Systems III - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Analysis and Dynamical Systems III write by Mark Lʹvovich Agranovskiĭ. This book was released on 2008. Complex Analysis and Dynamical Systems III available in PDF, EPUB and Kindle. 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, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$
Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ write by Aleksandr Sergeevich Kleshchëv. This book was released on 2012. Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ available in PDF, EPUB and Kindle. There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup $Q(n)$ via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic $p$ to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type $A_{p-1}^{(2)}$. The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
The Kohn-Sham Equation for Deformed Crystals
The Kohn-Sham Equation for Deformed Crystals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Kohn-Sham Equation for Deformed Crystals write by Weinan E. This book was released on 2013-01-25. The Kohn-Sham Equation for Deformed Crystals available in PDF, EPUB and Kindle. The solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem is studied in the context of the electronic structure of smoothly deformed macroscopic crystals. An analog of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure of the deformed crystal under the following physical conditions: (1) the band structure of the undeformed crystal has a gap, i.e. the crystal is an insulator, (2) the charge density waves are stable, and (3) the macroscopic dielectric tensor is positive definite. The effective equation governing the piezoelectric effect of a material is rigorously derived. Along the way, the authors also establish a number of fundamental properties of the Kohn-Sham map.
