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Author : Perla Lahana Myers
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (318 download)
Download or read book Euclidean and Heisenberg Graphs written by Perla Lahana Myers and published by . This book was released on 1995 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Archie Tiongson Medrano
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (318 download)
Download or read book Super-Euclidean Graphs and Super-Heisenberg Graphs written by Archie Tiongson Medrano and published by . This book was released on 1998 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Maki
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (774 download)
Download or read book Analysis in the Heisenberg Group: Weak S-John Domains and the Dimensions of Graphs of Holder Functions written by John M. Maki and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we provide connections between analytic properties in Euclidean R^n and analytic properties in sub-Riemannian Carnot groups. We introduce weak s-John domains, in analogy with weak John domains, and we prove that weak s-John is equivalent to a localized version. This is applied in showing that a bounded C^{1,alpha} domain in R^3 will be a weak s-John domain in the first Heisenberg group. This result is sharp, giving a precise value of s that depends only on alpha. We follow upon this by showing that a weak s-John domain in a general Carnot group will be a (q,p)-Poincare domain for certain p and q that depend only on s and the homogeneous dimension of the Carnot group. The final result gives, in a general Carnot group, an upper bound on the lower box dimension of the graph of an Euclidean Holder function, with application to the dimension of a Sobolev graph.
Author : Ahcene Bounceur
Publisher : CRC Press
ISBN 13 : 1351690280
Total Pages : 218 pages
Book Rating : 4.3/5 (516 download)
Download or read book Boundaries and Hulls of Euclidean Graphs written by Ahcene Bounceur and published by CRC Press. This book was released on 2018-10-03 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs. It also includes some implementations, determining and comparing their complexities. Since the implementation is application-dependent, either centralized or distributed, some basic concepts of the centralized and distributed versions are reviewed. Theoreticians will find a presentation of different algorithms together with an evaluation of their complexity and their utilities, as well as their field of application. Practitioners will find some practical and real-world situations in which the presented algorithms can be used.
Author : Michelle Rose DeDeo
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (318 download)
Download or read book Graphs Over the Ring of Integers Modulo 2r written by Michelle Rose DeDeo and published by . This book was released on 1998 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Audrey Terras
Publisher : Cambridge University Press
ISBN 13 : 9780521457187
Total Pages : 456 pages
Book Rating : 4.4/5 (571 download)
Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 1999-03-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Author : Ovidiu Calin
Publisher : American Mathematical Soc.
ISBN 13 : 0821846884
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by Ovidiu Calin and published by American Mathematical Soc.. This book was released on 2008-06-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mourad E. H. Ismail
Publisher : Springer Science & Business Media
ISBN 13 : 0387242333
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)
Download or read book Theory and Applications of Special Functions written by Mourad E. H. Ismail and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.
Author : Ernst Binz
Publisher : American Mathematical Soc.
ISBN 13 : 0821844954
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Geometry of Heisenberg Groups written by Ernst Binz and published by American Mathematical Soc.. This book was released on 2008 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
Author : Luca Capogna
Publisher : Springer Science & Business Media
ISBN 13 : 3764381337
Total Pages : 235 pages
Book Rating : 4.7/5 (643 download)
Download or read book An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem written by Luca Capogna and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and tools of sub-Riemannian differential geometry, nonsmooth analysis, and geometric measure theory suitable for attacks on Pansu's problem.
Author : Katrin Fässler
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (637 download)
Download or read book Extending Lipschitz Maps from Euclidean Spaces Into Heisenberg Groups written by Katrin Fässler and published by . This book was released on 2007 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Alarcón
Publisher : Springer Nature
ISBN 13 : 3031399161
Total Pages : 398 pages
Book Rating : 4.0/5 (313 download)
Download or read book New Trends in Geometric Analysis written by Antonio Alarcón and published by Springer Nature. This book was released on 2023-11-25 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad Autónoma de Barcelona, Universidad Autónoma de Madrid, Universidad de Granada, Universidad Jaume I de Castellón, Universidad de Murcia, Universidad de Santiago de Compostela and Universidad de Valencia. The success of REAG has been substantiated with regular meetings and the publication of research papers obtained in collaboration between the members of different nodes. On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of them authored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG. Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.
Author : Vasileios Chousionis
Publisher : American Mathematical Soc.
ISBN 13 : 1470442159
Total Pages : 153 pages
Book Rating : 4.4/5 (74 download)
Download or read book Conformal Graph Directed Markov Systems on Carnot Groups written by Vasileios Chousionis and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, they develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter. They illustrate their results for a variety of examples of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces. These include the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the non-real classical rank one hyperbolic spaces.
Author :
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Data Compendium of Linear Graphs with Application to the Heisenberg Model written by and published by . This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard Mlodinow
Publisher : Penguin UK
ISBN 13 : 0141926287
Total Pages : 291 pages
Book Rating : 4.1/5 (419 download)
Download or read book Euclid's Window written by Leonard Mlodinow and published by Penguin UK. This book was released on 2003-02-27 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through Euclid's Window, Leonard Mlondinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. This new, refreshing, alternative history of maths reveals how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of science's highest achievements.
Author : Geoffrey Grimmett
Publisher : Cambridge University Press
ISBN 13 : 1108542999
Total Pages : 279 pages
Book Rating : 4.1/5 (85 download)
Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2018-01-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Author : Misha Shifman
Publisher : World Scientific
ISBN 13 : 9812561145
Total Pages : 636 pages
Book Rating : 4.8/5 (125 download)
Download or read book From Fields to Strings written by Misha Shifman and published by World Scientific. This book was released on 2005 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of dedicated reviews covering all aspects of theoretical high energy physics and some aspects of solid state physics. Some of the papers are broad reviews of topics that span the entire field while others are surveys of authors' personal achievements. This is the most comprehensive review collection reflecting state of the art at the end of 2004. An important and unique aspect is a special effort the authors have invested in making the presentation pedagogical
