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Author : Ambar Sengupta
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.E/5 ( download)
Download or read book The Yang-Mills Measure for the Two-sphere written by Ambar Sengupta and published by . This book was released on 1990 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author : Thierry Lévy
Publisher : American Mathematical Soc.
ISBN 13 : 0821834290
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)
Download or read book Yang-Mills Measure on Compact Surfaces written by Thierry Lévy and published by American Mathematical Soc.. This book was released on 2003 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir we present a new construction and new properties of the Yang-Mills measure in two dimensions. This measure was first introduced for the needs of quantum field theory and can be described informally as a probability measure on the space of connections modulo gauge transformations on a principal bundle. We consider the case of a bundle over a compact orientable surface. Our construction is based on the discrete Yang-Mills theory of which we give a full acount. We are able to take its continuum limit and to define a pathwise multiplicative process of random holonomy indexed by the class of piecewise embedded loops. We study in detail the links between this process and a white noise and prove a result of asymptotic independence in the case of a semi-simple structure group. We also investigate global Markovian properties of the measure related to the surgery of surfaces.
Author : Sergio Albeverio
Publisher : Springer
ISBN 13 : 3319634534
Total Pages : 265 pages
Book Rating : 4.3/5 (196 download)
Download or read book Stochastic Geometric Mechanics written by Sergio Albeverio and published by Springer. This book was released on 2017-11-17 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.
Author : Astrid Hilbert
Publisher : Springer Nature
ISBN 13 : 3031140311
Total Pages : 390 pages
Book Rating : 4.0/5 (311 download)
Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert and published by Springer Nature. This book was released on 2023-04-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.
Author : Sultan Catto
Publisher : World Scientific
ISBN 13 : 9814555509
Total Pages : 1228 pages
Book Rating : 4.8/5 (145 download)
Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) written by Sultan Catto and published by World Scientific. This book was released on 1992-01-27 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.
Author : Ambar Sengupta
Publisher : American Mathematical Soc.
ISBN 13 : 0821804847
Total Pages : 85 pages
Book Rating : 4.8/5 (218 download)
Download or read book Gauge Theory on Compact Surfaces written by Ambar Sengupta and published by American Mathematical Soc.. This book was released on 1997 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a rigorous account of quantum gauge field theory for bundles (both trivial and non-trivial) over compact surfaces. The Euclidean quantum field measure describing this theory is constructed and loop expectation values for a broad class of Wilson loop configurations are computed explicitly. Both the topology of the surface and the topology of the bundle are encoded in these loop expectation values. The effect of well-behaved area - preserving homeomorphisms of the surface is to take these loop expectation values into those for the pullback bundle. The quantum gauge field measure is constructed by conditioning an infinite-dimensional Gaussian measure to satisfy constraints imposed by the topologies of the surface and of the bundle. Holonomies, in this setting, are defined by interpreting the usual parallel-transport equation as a stochastic differential equation.
Author : Gregory J Morrow
Publisher : World Scientific
ISBN 13 : 9814569755
Total Pages : 252 pages
Book Rating : 4.8/5 (145 download)
Download or read book Probability Models In Mathematical Physics - Proceedings Of The Conference written by Gregory J Morrow and published by World Scientific. This book was released on 1991-01-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference proceedings includes discussions on state-of-the-art developments in an area being cross fertilized by both probability and mathematical physics. The physics emphasis represents a vision of exciting interplay between physics and probability.Important new results on the following areas are presented: self avoiding random walk, stochastic geometry on loop groups, percolation, spin systems, magnetism, spin glasses, static disorder, gauge field theory, functional integration and quantum field theory.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814966
Total Pages : 710 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Riemannian Geometry written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 3 begins with an overview by R.E. Greene of some recent trends in Riemannia
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 082181494X
Total Pages : 560 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Author : Analysis on Infinit Ams Special Session
Publisher : American Mathematical Soc.
ISBN 13 : 0821832026
Total Pages : 224 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite and Infinite Dimensional Analysis in Honor of Leonard Gross written by Analysis on Infinit Ams Special Session and published by American Mathematical Soc.. This book was released on 2003 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross' former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross' work and permeate diverse fields. Topics of this title include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.
Author : Francesco Guerra
Publisher : World Scientific
ISBN 13 : 9814555061
Total Pages : 474 pages
Book Rating : 4.8/5 (145 download)
Download or read book Probabilistic Methods In Mathematical Physics: Proceedings Of The International Workshop written by Francesco Guerra and published by World Scientific. This book was released on 1992-07-17 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.
Author : Nalini Anantharaman
Publisher : Springer Nature
ISBN 13 : 3030564096
Total Pages : 449 pages
Book Rating : 4.0/5 (35 download)
Download or read book Frontiers in Analysis and Probability written by Nalini Anantharaman and published by Springer Nature. This book was released on 2020-11-21 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.
Author :
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 840 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jørgen Ellegaard Andersen
Publisher : American Mathematical Soc.
ISBN 13 : 0821853538
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)
Download or read book Chern-Simons Gauge Theory: 20 Years After written by Jørgen Ellegaard Andersen and published by American Mathematical Soc.. This book was released on 2011 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this beautiful discovery created a new field of research called Chern-Simons theory. This field has the remarkable feature of intertwining a large number of diverse branches of research in mathematics and physics, among them low-dimensional topology, differential geometry, quantum algebra, functional and stochastic analysis, quantum gravity, and string theory. The 20-year anniversary of Witten's discovery provided an opportunity to bring together researchers working in Chern-Simons theory for a meeting, and the resulting conference, which took place during the summer of 2009 at the Max Planck Institute for Mathematics in Bonn, included many of the leading experts in the field. This volume documents the activities of the conference and presents several original research articles, including another monumental paper by Witten that is sure to stimulate further activity in this and related fields. This collection will provide an excellent overview of the current research directions and recent progress in Chern-Simons gauge theory.
Author : H. P. McKean
Publisher : Academic Press
ISBN 13 : 1483259234
Total Pages : 154 pages
Book Rating : 4.4/5 (832 download)
Download or read book Stochastic Integrals written by H. P. McKean and published by Academic Press. This book was released on 2014-06-20 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Integrals discusses one area of diffusion processes: the differential and integral calculus based upon the Brownian motion. The book reviews Gaussian families, construction of the Brownian motion, the simplest properties of the Brownian motion, Martingale inequality, and the law of the iterated logarithm. It also discusses the definition of the stochastic integral by Wiener and by Ito, the simplest properties of the stochastic integral according to Ito, and the solution of the simplest stochastic differential equation. The book explains diffusion, Lamperti's method, forward equation, Feller's test for the explosions, Cameron-Martin's formula, the Brownian local time, and the solution of dx=e(x) db + f(x) dt for coefficients with bounded slope. It also tackles Weyl's lemma, diffusions on a manifold, Hasminski's test for explosions, covering Brownian motions, Brownian motions on a Lie group, and Brownian motion of symmetric matrices. The book gives as example of a diffusion on a manifold with boundary the Brownian motion with oblique reflection on the closed unit disk of R squared. The text is suitable for economists, scientists, or researchers involved in probabilistic models and applied mathematics.
