Tag: Topological

Free Download Topological Optimization and Optimal Transport: In the Applied Sciences
English | 2017 | ISBN: 3110439263 | 511 Pages | EPUB (True) | 17 MB
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered.

Free Download Topological Quantum Materials: Concepts, Models, and Phenomena by Grigory Tkachov
English | August 18, 2022 | ISBN: 9814968129 | 288 pages | MOBI | 15 Mb
In topological quantum materials, quantum effects emerge at macroscopic scales and are robust to continuous changes in a material’s state. This striking synergy between quantum and topological properties is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics and quantum information. This edition of the book presents a wealth of topological quantum materials, bringing together burgeoning research from different areas: topological insulators, transition metal dichalcogenides, Weyl semimetals, and unconventional and topological superconductors.

Free Download Mee Seong Im, "Algebraic and Topological Aspects of Representation Theory"
English | ISBN: 1470470349 | 2024 | 232 pages | PDF | 4 MB
This volume contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, held from November 20-21, 2021. Noncommutative algebras and noncommutative algebraic geometry have been an active field of research for the past several decades, with many important applications in mathematical physics, representation theory, number theory, combinatorics, geometry, low-dimensional topology, and category theory. Papers in this volume contain original research, written by speakers and their collaborators. Many papers also discuss new concepts with detailed examples and current trends with novel and important results, all of which are invaluable contributions to the mathematics community.

Free Download Janine Bennett, "Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High-Dimensional, and Multivariate Data Spac"
English | ISBN: 3662448998 | 2015 | 312 pages | PDF | 10 MB
This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data.

Free Download Michel Coornaert, "Topological Dimension and Dynamical Systems "
English | ISBN: 3319197932 | 2015 | 248 pages | EPUB | 5 MB
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts.

Free Download Topological Phases in Condensed Matter Physics
English | 2023 | ISBN: 9819953200 | 383 Pages | PDF EPUB (True) | 27 MB
The book is mainly designed for post-graduate students to learn modern-day condensed matter physics. While emphasizing an experiment called the ‘Quantum Hall effect’, it introduces the subject of ‘Topology’ and how the topological invariants are related to the quantization of the Hall plateaus. Thus, the content tries to deliver an account of the topological aspects of materials that have shaped the study of condensed matter physics in recent times. The subject is often quite involved for a student to grasp the fundamentals and relate them to physical phenomena. Further, these topics are mostly left out of the undergraduate curriculum, although they often require a simplistic view of the concepts involved to be presented pedagogically. The book contains examples, worked-out concepts, important derivations, diagrams for illustration, etc. to aid the understanding of the students. The book also emphasizes the experimental discoveries that put the subject in its perspective and elaborate on the applications which are likely to be of interest to scientists and engineers.

Free Download Topological Dynamics in Metamodel Discovery with Artificial Intelligence: From Biomedical to Cosmological Technologies by Ariel Fernández
English | December 21, 2022 | ISBN: 103236632X | 210 pages | MOBI | 27 Mb
The leveraging of artificial intelligence (AI) for model discovery in dynamical systems is cross-fertilizing and revolutionizing both disciplines, heralding a new era of data-driven science. This book is placed at the forefront of this endeavor, taking model discovery to the next level.

Free Download The Topological Model of Genome and Evolution: Understanding the Origin and Nature of Life
English | 2023 | ISBN: 9819943175 | 1003 Pages | PDF EPUB (True) | 20 MB
This book deals with the missing link in the domain of functional genomics viz. genomic architecture. It begins with a deconstruction of the Darwinian paradigm using the proposed model of modified involuted manifolds. It recasts the process of natural selection as a process of information transfer. Using a topological model, this book outlines a new genomic architecture. The key argument for this proposed model is that some such structuralism has always been implicit in genomics. The proposed model fits very well with the known genomic characteristics and allows to separate the regulatory genome from the transcriptive genomes. The model is capable of discerning modular architecture of genomes with different genomic functionalities existing in hierarchical relationships and demonstrates that genomes act as units of selection and as the environment for the individual genes which act as competing species. Towards the end, the book also examines the role of genomic evolution in cancer and the principles of natural selection and evolution of the genotype. The regulatory genome is also discussed, with an emphasis on its evolution and natural selection. It is a valuable source for researchers working in functional genomics, mathematical modeling in biology and evolutionary genomics.

Free Download The Topological Model of Genome and Evolution: Understanding the Origin and Nature of Life
English | 2023 | ISBN: 9819943175 | 1003 Pages | PDF EPUB (True) | 20 MB
This book deals with the missing link in the domain of functional genomics viz. genomic architecture. It begins with a deconstruction of the Darwinian paradigm using the proposed model of modified involuted manifolds. It recasts the process of natural selection as a process of information transfer. Using a topological model, this book outlines a new genomic architecture. The key argument for this proposed model is that some such structuralism has always been implicit in genomics. The proposed model fits very well with the known genomic characteristics and allows to separate the regulatory genome from the transcriptive genomes. The model is capable of discerning modular architecture of genomes with different genomic functionalities existing in hierarchical relationships and demonstrates that genomes act as units of selection and as the environment for the individual genes which act as competing species. Towards the end, the book also examines the role of genomic evolution in cancer and the principles of natural selection and evolution of the genotype. The regulatory genome is also discussed, with an emphasis on its evolution and natural selection. It is a valuable source for researchers working in functional genomics, mathematical modeling in biology and evolutionary genomics.

Free Download Topological Effects in Quantum Mechanics by G. N. Afanasiev
English | PDF | 1999 | 343 Pages | ISBN : 0792358007 | 24.5 MB
Among the subjects covered in this volume are the topological effects of quantum mechanics, including Bohm-Aharonov and Aharonov-Casher effects and their generalisations; the toroidal moments, anapoles and their generalisations; the numerical investigation of Tonomura experiments testing the foundations of quantum mechanics; the time-dependent Bohm-Aharonov effect, the thorough study of toroidal solenoids and their use as effective transmitters of electromagnetic waves; and the topical questions of the Vavilov-Cherenkov radiation. Furthermore, concrete advice is given for the construction of magnetic and electric solenoids and the performance of experiments on the Bohm-Aharonov effect. In addition, properties of remarkable charge-current configurations and practical applications are studied.