Geometric Methods in Physics XXXVIII

Geometric Methods in Physics XXXVIII PDF Author: Piotr Kielanowski
Publisher: Springer Nature
ISBN: 3030533050
Category : Mathematics
Languages : en
Pages : 373

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Book Description
The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Geometric Methods in Physics XXXVIII

Geometric Methods in Physics XXXVIII PDF Author: Piotr Kielanowski
Publisher: Springer Nature
ISBN: 3030533050
Category : Mathematics
Languages : en
Pages : 373

Get Book Here

Book Description
The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics. For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities. The chapter “Toeplitz Extensions in Noncommutative Topology and Mathematical Physics” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Geometric Methods in Physics XXXIX

Geometric Methods in Physics XXXIX PDF Author: Piotr Kielanowski
Publisher: Springer Nature
ISBN: 3031302842
Category : Science
Languages : en
Pages : 345

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Book Description
This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Białystok, Poland in June 2022. These chapters provide readers an overview of cutting-edge research in geometry, analysis, and a wide variety of other areas. Specific topics include: Classical and quantum field theories Infinite-dimensional groups Integrable systems Lie groupoids and Lie algebroids Representation theory Geometric Methods in Physics XXXIX will be a valuable resource for mathematicians and physicists interested in recent developments at the intersection of these areas.

Methods of Contemporary Mathematical Statistical Physics

Methods of Contemporary Mathematical Statistical Physics PDF Author: Marek Biskup
Publisher: Springer
ISBN: 3540927964
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.

Geometric Aspects of Functional Analysis

Geometric Aspects of Functional Analysis PDF Author: Vitali D. Milman
Publisher: Springer
ISBN: 3540720537
Category : Mathematics
Languages : en
Pages : 330

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Book Description
This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies to the study of sections or projections of convex bodies.

Geometric Theory of Discrete Nonautonomous Dynamical Systems

Geometric Theory of Discrete Nonautonomous Dynamical Systems PDF Author: Christian Pötzsche
Publisher: Springer Science & Business Media
ISBN: 3642142575
Category : Mathematics
Languages : en
Pages : 422

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Book Description
The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).

Geometric Analysis and PDEs

Geometric Analysis and PDEs PDF Author: Matthew J. Gursky
Publisher: Springer Science & Business Media
ISBN: 3642016731
Category : Mathematics
Languages : en
Pages : 296

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Book Description
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Axiom of Choice

Axiom of Choice PDF Author: Horst Herrlich
Publisher: Springer
ISBN: 3540342680
Category : Mathematics
Languages : en
Pages : 207

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Book Description
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

Stochastic Calculus for Fractional Brownian Motion and Related Processes

Stochastic Calculus for Fractional Brownian Motion and Related Processes PDF Author: Yuliya Mishura
Publisher: Springer
ISBN: 3540758739
Category : Mathematics
Languages : en
Pages : 411

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Book Description
This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.

From Hahn-Banach to Monotonicity

From Hahn-Banach to Monotonicity PDF Author: Stephen Simons
Publisher: Springer Science & Business Media
ISBN: 1402069189
Category : Mathematics
Languages : en
Pages : 251

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Book Description
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.

Zeta Functions of Groups and Rings

Zeta Functions of Groups and Rings PDF Author: Marcus du Sautoy
Publisher: Springer Science & Business Media
ISBN: 354074701X
Category : Mathematics
Languages : en
Pages : 217

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Book Description
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.