Resurgence Physics And Numbers
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Resurgence Physics And Numbers
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Author : Frédéric Fauvet
language : en
Publisher: Edizioni della Normale
Release Date : 2017-11-07
Resurgence Physics And Numbers written by Frédéric Fauvet and has been published by Edizioni della Normale this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Science categories.
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.
Graphs In Perturbation Theory
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Author : Michael Borinsky
language : en
Publisher: Springer
Release Date : 2018-11-04
Graphs In Perturbation Theory written by Michael Borinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Science categories.
This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.
Michael Atiyah Collected Works
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Author : Michael Atiyah
language : en
Publisher: Oxford University Press
Release Date : 1988-04-28
Michael Atiyah Collected Works written by Michael Atiyah and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-28 with Biography & Autobiography categories.
This is a collection of the works of Michael Atiyah, a well-established mathematician and winner of the Fields Medal. It is thematically divided into volumes; this one discusses gauge theory, a current topic of research.
Vertex Operator Algebras Number Theory And Related Topics
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Author : Matthew Krauel
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-13
Vertex Operator Algebras Number Theory And Related Topics written by Matthew Krauel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-13 with Education categories.
This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11–15, 2018, at California State University, Sacramento, California. The mathematics of vertex operator algebras, vector-valued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present. The proceedings center around active research on vertex operator algebras and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.
International Benchmarking Of U S Chemical Engineering Research Competitiveness
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2007-08-12
International Benchmarking Of U S Chemical Engineering Research Competitiveness written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-12 with Science categories.
More than $400 billion worth of products rely on innovations in chemistry. Chemical engineering, as an academic discipline and profession, has enabled this achievement. In response to growing concerns about the future of the discipline, International Benchmarking of U.S. Chemical Engineering Research Competitiveness gauges the standing of the U.S. chemical engineering enterprise in the world. This in-depth benchmarking analysis is based on measures including numbers of published papers, citations, trends in degrees conferred, patent productivity, and awards. The book concludes that the United States is presently, and is expected to remain, among the world's leaders in all subareas of chemical engineering research. However, U.S. leadership in some classical and emerging subareas will be strongly challenged. This critical analysis will be of interest to practicing chemical engineers, professors and students in the discipline, economists, policy makers, major research university administrators, and executives in industries dependent upon innovations in chemistry.
Arbeitstagung Bonn
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Author : Friedrich Hirzebruch
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1985
Arbeitstagung Bonn written by Friedrich Hirzebruch and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Fractal Geometry And Number Theory
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Author : Michel L. Lapidus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Fractal Geometry And Number Theory written by Michel L. Lapidus 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 2013-12-01 with Mathematics categories.
A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B.) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.
Low Dimensional Topology And Number Theory
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Author : Masanori Morishita
language : en
Publisher: Springer Nature
Release Date : 2025-03-02
Low Dimensional Topology And Number Theory written by Masanori Morishita and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-02 with Mathematics categories.
This book is the result of research initiatives formed during the workshop "Low Dimensional Topology and Number Theory XIII" at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for the series of annual workshops since 2009. The activity was aimed at understanding and deepening recent developments of lively and fruitful interactions between low-dimensional topology and number theory over the past decades. In this volume of proceedings, the reader will find research papers as well as survey articles, including open problems, at the interface between classical and quantum topology, and algebraic and analytic number theory, written by leading experts and active researchers in the respective fields. Topics include, among others, the strong slope conjecture; Kashiwara–Vergne Lie algebra; braids and fibered double branched covers of 3-manifolds; Temperley–Lieb–Jones category andconformal blocks; WRT invariants and false theta functions; the colored Jones polynomial of the figure-eight knot; potential functions and A-polynomials; l-adic Galois polylogarithms; Dijkgraaf–Witten invariants in Bloch groups; analogies between knots and primes in arithmetic topology; normalized Jones polynomials for rational links; Iwasawa main conjecture; Weber’s class number problem. The book provides a valuable resource for researchers and graduate students interested in topics related to both low-dimensional topology and number theory.
History And Event
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Author : Nathan Coombs
language : en
Publisher: Edinburgh University Press
Release Date : 2015-09-21
History And Event written by Nathan Coombs and has been published by Edinburgh University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-21 with Philosophy categories.
Nathan Coombs demonstrates that the Marxist science of history has been reimagined by a strand of contemporary French theory after Louis Althusser. Taking a comparative approach, Coombs explores the technical details of both traditions' historical sciences.
An Odyssey Of Numbers
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-21
An Odyssey Of Numbers written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-21 with Mathematics categories.
In this comprehensive and captivating guide, we take you on an extraordinary journey through the fascinating world of numbers. From the fundamental concepts of arithmetic to the enigmatic realm of topology, you will explore the depths of mathematics and uncover its profound impact on our lives. Delve into the historical evolution of mathematical thought, tracing the footsteps of brilliant minds who have shaped our understanding of numbers. Discover the beauty and power of arithmetic operations, unlocking the secrets of addition, subtraction, multiplication, and division. Explore the intricacies of algebra, unraveling the mysteries of variables, equations, and inequalities. Venture into the realm of geometry, where shapes, angles, and planes reveal their hidden harmonies. Investigate the fascinating world of three-dimensional solids and witness the transformations that manipulate and reshape geometric figures. Uncover the power of statistical investigations, learning how to extract meaningful insights from seemingly random data. Delve into the calculus, where limits, derivatives, and integrals unlock the secrets of change and motion. Journey into the enchanting world of trigonometry, where angles and sides of triangles dance in perfect harmony. Discover the elegance of trigonometric identities and witness the applications of trigonometry in diverse fields. Explore the enigmatic world of topology, where continuity, knots, and surfaces challenge our perception of space and shape. Finally, peer into the frontiers of mathematics, where chaos theory, game theory, cryptography, and artificial intelligence push the boundaries of our understanding. Witness the unpredictable nature of complex systems, unravel the strategies and equilibria of decision-making, explore the art of secret communication, and encounter the rise of intelligent machines. Through this odyssey of numbers, you will gain a deeper appreciation for the power and beauty of mathematics. Discover how it shapes our world, from the intricate patterns of nature to the technological marvels of the modern age. Prepare to be captivated by the elegance and depth of mathematical concepts and embark on a journey that will transform your perception of numbers forever. If you like this book, write a review on google books!