Notes On Lattice Points Of Zonotopes And Lattice Face Polytopes
DOWNLOAD
Download Notes On Lattice Points Of Zonotopes And Lattice Face Polytopes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Notes On Lattice Points Of Zonotopes And Lattice Face Polytopes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Notes On Lattice Points Of Zonotopes And Lattice Face Polytopes
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2010
Notes On Lattice Points Of Zonotopes And Lattice Face Polytopes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Convexity From The Geometric Point Of View
DOWNLOAD
Author : Vitor Balestro
language : en
Publisher: Springer Nature
Release Date :
Convexity From The Geometric Point Of View written by Vitor Balestro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Lattice Point Inequalities And Face Numbers Of Polytopes In View Of Central Symmetry
DOWNLOAD
Author : Matthias Henze
language : en
Publisher:
Release Date : 2012
Lattice Point Inequalities And Face Numbers Of Polytopes In View Of Central Symmetry written by Matthias Henze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Algebraic And Geometric Combinatorics On Lattice Polytopes Proceedings Of The Summer Workshop On Lattice Polytopes
DOWNLOAD
Author : Hibi Takayuki
language : en
Publisher: World Scientific
Release Date : 2019-05-30
Algebraic And Geometric Combinatorics On Lattice Polytopes Proceedings Of The Summer Workshop On Lattice Polytopes written by Hibi Takayuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-30 with Mathematics categories.
This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.
Polytopes
DOWNLOAD
Author : Tibor Bisztriczky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Polytopes written by Tibor Bisztriczky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes. For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.
Computing The Continuous Discretely
DOWNLOAD
Author : Matthias Beck
language : en
Publisher: Springer
Release Date : 2015-11-14
Computing The Continuous Discretely written by Matthias Beck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-14 with Mathematics categories.
This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device. The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: “You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.” — MAA Reviews “The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.” — Zentralblatt MATH “This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.” — Mathematical Reviews “Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.” — CHOICE
Lattice Points In Simple Polytopes
DOWNLOAD
Author : M. Brion
language : en
Publisher:
Release Date : 1995
Lattice Points In Simple Polytopes written by M. Brion and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Fourier Analysis On Polytopes And The Geometry Of Numbers
DOWNLOAD
Author : Sinai Robins
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-24
Fourier Analysis On Polytopes And The Geometry Of Numbers written by Sinai Robins and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-24 with Mathematics categories.
This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is fitted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class. Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field.
Lattice Points Inside Lattice Polytopes
DOWNLOAD
Author : Oleg Pikhurko
language : en
Publisher:
Release Date : 2000
Lattice Points Inside Lattice Polytopes written by Oleg Pikhurko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Two Problems On Lattice Point Enumeration Of Rational Polytopes
DOWNLOAD
Author : Andres R. Vindas Melendez
language : en
Publisher:
Release Date : 2017
Two Problems On Lattice Point Enumeration Of Rational Polytopes written by Andres R. Vindas Melendez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Lattice theory categories.
Motivated by the generalization of Ehrhart theory with group actions, the first part of this thesis makes progress towards obtaining the equivariant Ehrhart theory of the permutahedron. The subset that is fixed by a group action on the permutahedron is itself a rational polytope. We prove that these fixed polytopes are combinatorially equivalent to lower dimensional permutahedra. Furthermore, we show that these fixed polytopes are zonotopes, id est, Minkowski sum of line segments. This part is joint work with Anna Schindler. The second part of this thesis provides a decomposition of the /i*-polynomial for rational polytopes. This decomposition is an analogue to the decomposition proven by Ulrich Betke and Peter McMullen for lattice polytopes.