Symmetries And Laplacians
DOWNLOAD
Download Symmetries And Laplacians PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Symmetries And Laplacians 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
Symmetries And Laplacians
DOWNLOAD
Author : David Gurarie
language : en
Publisher: Courier Corporation
Release Date : 2007-12-21
Symmetries And Laplacians written by David Gurarie and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.
Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area. Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.
Symmetries Of Nonlinear Pdes On Metric Graphs And Branched Networks
DOWNLOAD
Author : Dmitry Pelinovsky
language : en
Publisher: MDPI
Release Date : 2019-10-30
Symmetries Of Nonlinear Pdes On Metric Graphs And Branched Networks written by Dmitry Pelinovsky and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Mathematics categories.
This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems.
Symmetry In Optics And Vision Studies
DOWNLOAD
Author : Marlos A.G. Viana
language : en
Publisher: CRC Press
Release Date : 2019-11-27
Symmetry In Optics And Vision Studies written by Marlos A.G. Viana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Technology & Engineering categories.
This book presents an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical sciences. Symmetry studies connect group theoretic and statistical methods for data summary and inference. Readers should have an understanding of calculus and linear algebra as well as introductory statistics. The book reviews finite group theory in the introductory chapters. Computational tools used in the text are available for download in the form of Mathmaticaâ notebooks or R scripts. This book: Demonstrates the usefulness of a unified view of algebra and symmetry studies to address data-analytic questions in optics and vision science Offers a brief review of finite group theory and elements of multivariate analysis Includes various examples from diverse areas of optical science
Groups And Symmetries
DOWNLOAD
Author : Yvette Kosmann-Schwarzbach
language : en
Publisher: Springer Nature
Release Date : 2022-07-16
Groups And Symmetries written by Yvette Kosmann-Schwarzbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-16 with Mathematics categories.
- Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas - Applies material to physics so students appreciate the applications of abstract mathematics - Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates - Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study
Laplacian Eigenvectors Of Graphs
DOWNLOAD
Author : Türker Biyikoglu
language : en
Publisher: Springer
Release Date : 2007-07-07
Laplacian Eigenvectors Of Graphs written by Türker Biyikoglu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-07 with Mathematics categories.
This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
Mathematical Reviews
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Spectral Methods For Isometric Shape Matching And Symmetry Detection
DOWNLOAD
Author : Maksims Ovsjanikovs
language : en
Publisher: Stanford University
Release Date : 2011
Spectral Methods For Isometric Shape Matching And Symmetry Detection written by Maksims Ovsjanikovs and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Shape matching and symmetry detection are among the most basic operations in digital geometry processing with applications ranging from medical imaging to industrial design and inspection. While the majority of prior work has concentrated on rigid or extrinsic matching and symmetry detection, many real objects are non-rigid and can exhibit a variety of poses and deformations. In this thesis, we present several methods for analyzing and matching such deformable shapes. In particular, we restrict our attention to shapes undergoing changes that can be well approximated by intrinsic isometries, i.e. deformations that preserve geodesic distances between all pairs of points. This class of deformations is much richer than rigid motions (extrinsic isometries) and can approximate, for example, articulated motions of humans. At the same time, as we show in this thesis, there exists a rich set of spectral quantities based on the Laplace-Beltrami operator that are invariant to intrinsic isometries, and can be used for both shape matching and symmetry detection. One of the principal observations of this thesis is that in many cases spectral invariants are \emph{complete}, and characterize a given shape up to isometry. This allows us to devise efficient methods for intrinsic symmetry detection, multiscale point similarity and isometric shape matching. Our methods are robust and all come with strong and often surprising theoretical guarantees.
International Books In Print
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1990
International Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with English imprints categories.
Harmonic Analysis On Symmetric Spaces Euclidean Space The Sphere And The Poincar Upper Half Plane
DOWNLOAD
Author : Audrey Terras
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-12
Harmonic Analysis On Symmetric Spaces Euclidean Space The Sphere And The Poincar Upper Half Plane written by Audrey Terras 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 2013-09-12 with Mathematics categories.
This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Learning Representation And Control In Markov Decision Processes
DOWNLOAD
Author : Sridhar Mahadevan
language : en
Publisher: Now Publishers Inc
Release Date : 2009
Learning Representation And Control In Markov Decision Processes written by Sridhar Mahadevan and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
Provides a comprehensive survey of techniques to automatically construct basis functions or features for value function approximation in Markov decision processes and reinforcement learning.