New Topological Invariants For Real And Angle Valued Maps
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New Topological Invariants For Real And Angle Valued Maps An Alternative To Morse Novikov Theory
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Author : Dan Burghelea
language : en
Publisher: World Scientific
Release Date : 2017-08-16
New Topological Invariants For Real And Angle Valued Maps An Alternative To Morse Novikov Theory written by Dan Burghelea and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-16 with Mathematics categories.
This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics. They are the backbone of what the author proposes as a computational alternative to Morse-Novikov theory, referred to in this book as AMN-theory.These invariants are on one side analogues of rest points, instantons and closed trajectories of vector fields and on the other side, refine basic topological invariants like homology and monodromy. They are associated to tame maps, considerably more general than Morse maps, that are defined on spaces which are considerably more general than manifolds. They are computable by computer implementable algorithms and have strong robustness properties. They relate the dynamics of flows that admit the map as 'Lyapunov map' to the topology of the underlying space, in a similar manner as Morse-Novikov theory does.
New Topological Invariants For Real And Angle Valued Maps
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Author : Dan Burghelea
language : en
Publisher:
Release Date : 2018
New Topological Invariants For Real And Angle Valued Maps written by Dan Burghelea and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Electronic books categories.
Essays On Topology
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Author : Louis Funar
language : en
Publisher: Springer Nature
Release Date : 2025-07-21
Essays On Topology written by Louis Funar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-21 with Mathematics categories.
This book consists of a collection of articles dedicated to Valentin Poénaru, on topology and geometry in a broad sense. Poénaru is one of the leading mathematicians whose work had an essential impact on the development of topology in France over the last forty years of the twentieth century. The special topics addressed in this volume include hyperbolic geometry, 3-manifolds, complex and symplectic geometry, differential topology, combinatorial group theory, piecewise-linear topology, algebraic geometry, knots and links, homotopy theory, braid groups, phylogenetics, the history of geometry, and the philosophy of mathematics. This collection of articles, written by well-known researchers, provides a lively insight into a number of current research topics in geometry and topology.
Selected Papers With Commentary Of Tony Hilton Royle Skyrme
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Author : Tony Hilton Royle Skyrme
language : en
Publisher: World Scientific
Release Date : 1994
Selected Papers With Commentary Of Tony Hilton Royle Skyrme written by Tony Hilton Royle Skyrme and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
The most important papers of Tony Hilton Royle Skyrme are collected in this volume which also includes commentaries by G Brown and other articles relating to the life and work of Tony Skryme, R Dalitz, E Witten and others. Skyrme's work was brilliant, profound and surprisingly useful. He provided an original solution to the problem of constructing fermions from bosons, formulating the topological soliton model of the nucleon. His two-parameter model of effective interactions in nuclei has yielded a remarkably accurate description of nuclear structure. His à-particle model of nuclei gave deep insights into the structure of important and complicated excited states.This volume is a unique collection of Tony Skyrme's work. It is a must for all physicists in the high energy, nuclear and mathematical physics community.
Topology Of Strongly Correlated Systems
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Author : Pedro Bicudo
language : en
Publisher: World Scientific
Release Date : 2001
Topology Of Strongly Correlated Systems written by Pedro Bicudo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
The XVIII Lisbon Autumn School brought together physicists from different areas, ranging from QCD to condensed matter. This subject will be of ever-growing importance in the coming years. The topics covered are: Anomalies, Physical Charges, Chiral Symmetry, Vortices (Superconductivity, Solitons, Kosterlitz-Thouless Transitions), Non-trivial Topology on the Lattice, Confinement (Wilson Loops and Strings, Instantons, Abelian Higgs Model, Dual QCD).
Topological Quantum Numbers In Nonrelativistic Physics
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Author : D. J. Thouless
language : en
Publisher: World Scientific
Release Date : 1998
Topological Quantum Numbers In Nonrelativistic Physics written by D. J. Thouless and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed. They have become very important in precision measurements in recent years, and provide the best measurements of voltage and electrical resistance. This book describes the theory of such quantum numbers, starting with Dirac's argument for the quantization of electric charge, and continuing with discussions on the helium superfluids, flux quantization and the Josephson effect in superconductors, the quantum Hall effect, solids and liquid crystals, and topological phase transitions. The accompanying reprints include some of the classic experimental and theoretical papers in this area.Physicists ? both experimental and theoretical ? who are interested in the topic will find this book an invaluable reference.
Basic Notions Of Condensed Matter Physics
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Author : Philip W. Anderson
language : en
Publisher: CRC Press
Release Date : 2018-03-09
Basic Notions Of Condensed Matter Physics written by Philip W. Anderson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Science categories.
Basic Notions of Condensed Matter Physics is a clear introduction to some of the most significant concepts in the physics of condensed matter. The general principles of many-body physics and perturbation theory are emphasised, providing supportive mathematical structure. This is an expansion and restatement of the second half of Nobel Laureate Philip Anderson's classic Concepts in Solids.
Statistical Physics Statics Dynamics And Renormalization
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Author : Leo P Kadanoff
language : en
Publisher: World Scientific Publishing Company
Release Date : 2000-05-05
Statistical Physics Statics Dynamics And Renormalization written by Leo P Kadanoff and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-05 with Science categories.
The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry. In addition, the author has included a few of his own papers.
Quantum Phase Transitions In Transverse Field Models
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Author : Amit Dutta
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-28
Quantum Phase Transitions In Transverse Field Models written by Amit Dutta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Science categories.
This book establishes the fundamental connections between the physics of quantum phase transitions and the technological promise of quantum information.
Symmetries In Science V
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Author : Bruno Gruber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Symmetries In Science V written by Bruno Gruber 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 Technology & Engineering categories.
Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990