New Trends In Mathematical Physics

Author : Vladas Sidoravicius
Publisher : Springer Science & Business Media
Page : 886 pages
File Size : 51,7 Mb
Release : 2009-08-31
Category : Science
ISBN : 9789048128105

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New Trends in Mathematical Physics by Vladas Sidoravicius Pdf

This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

Author : Paolo Fergola,Florinda Capone,Maurizio Gentile,Gabriele Guerriero
Publisher : World Scientific
Page : 276 pages
File Size : 43,5 Mb
Release : 2005-01-04
Category : Science
ISBN : 9789814481564

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New Trends in Mathematical Physics by Paolo Fergola,Florinda Capone,Maurizio Gentile,Gabriele Guerriero Pdf

This proceedings volume widely surveys new problems, methods and techniques in mathematical physics. The 22 original papers featured are of great interest to various areas of applied mathematics. They are presented in honour of Professor Salvatore Rionero 70th birthday. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:A Time Dependent Inverse Problem in Photon Transport (A Belleni-Morante)New Applications of a Versatile Liapunov Functional (J N Flavin)Thermodynamic Limit for Spin Glasses (S Graffi)Stabilizing Effects in Fluid Dynamics Problems (G Mulone)An Alternative Kinematics for Multilattices (M Pitteri)On Contact Powers and Null Lagrangian Fluxes (P P Guidugli & G V Caffarelli)Control Aspects in Gas Dynamics (P Renno)A Functional Framework for Applied Continuum Mechanics (G Romano & M Diaco)Exchange of Stabilities in Porous Media and Penetrative Convection Effects (B Straughan)Effects of Adaptation on Competition among Species (D Lacitignola & C Tebaldi)and other papers Readership: Graduate students, academics and researchers in mathematical physics. Keywords:Stability;Waves Propagation;Biomathematics;Fluid Mechanics;Thermodynamics;Continuum Mechanics;Celestial Mechanics;Porous Media;Partial Differential Equations

Author : Charles V. Benton
Publisher : Nova Publishers
Page : 256 pages
File Size : 50,9 Mb
Release : 2004
Category : Mathematics
ISBN : 1590339134

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Trends in Mathematical Physics Research by Charles V. Benton Pdf

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

Author : Sukumar Das Adhikari
Publisher : Unknown
Page : 236 pages
File Size : 50,8 Mb
Release : 1995
Category : Algebra
ISBN : UOM:39015038138486

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Current Trends in Mathematics and Physics by Sukumar Das Adhikari Pdf

This collection of articles gives glimpses of research in several areas of mathematics and physics. The articles contain both expository material and some new results, and should be useful to both beginning graduate students as well as more advanced readers.

Author : Björn Gustafsson,Alexander Vasil'ev
Publisher : Springer Science & Business Media
Page : 514 pages
File Size : 48,7 Mb
Release : 2009-10-02
Category : Mathematics
ISBN : 9783764399061

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Analysis and Mathematical Physics by Björn Gustafsson,Alexander Vasil'ev Pdf

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Author : Houssam Abdul-Rahman,Robert Sims,Amanda Young
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 53,8 Mb
Release : 2020-01-06
Category : Education
ISBN : 9781470448417

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Analytic Trends in Mathematical Physics by Houssam Abdul-Rahman,Robert Sims,Amanda Young Pdf

This volume contains the proceedings of the Arizona School of Analysis and Mathematical Physics, held from March 5–9, 2018, at the University of Arizona, Tucson, Arizona. A main goal of this school was to introduce graduate students and postdocs to exciting topics of current research that are both influenced by physical intuition and require the use of cutting-edge mathematics. The articles in this volume reflect recent progress and innovative techniques developed within mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider decorated AKLT models, and Lemm demonstrates a finite-size criterion for D D-dimensional models. Bachmann, De Roeck, and Fraas summarize a recent proof of the adiabatic theorem, while Bachmann, Bols, De Roeck, and Fraas discuss linear response for interacting Hall insulators. Models on general graphs are the topic of the articles by Fischbacher, on higher spin XXZ, and by Latushkin and Sukhtaiev, on an index theorem for Schrödinger operators. Probabilistic applications are the focus of the articles by DeMuse and Yin, on exponential random graphs, by Saenz, on KPZ universality, and by Stolz, on disordered quantum spin chains. In all, the diversity represented here is a testament to the enthusiasm this rich field of mathematical physics generates.

Author : José F. Rodrigues,Gregory Seregin,José M. Urbano
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 49,6 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764373177

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Trends in Partial Differential Equations of Mathematical Physics by José F. Rodrigues,Gregory Seregin,José M. Urbano Pdf

This book consists of contributions originating from a conference in Obedo, Portugal, which honoured the 70th birthday of V.A. Solonnikov. A broad variety of topics centering on nonlinear problems is presented, particularly Navier-Stokes equations, viscosity problems, diffusion-absorption equations, free boundaries, and Euler equations.

Author : Alessandro Michelangeli,Gianfausto Dell'Antonio
Publisher : Springer
Page : 292 pages
File Size : 40,5 Mb
Release : 2017-08-01
Category : Mathematics
ISBN : 9783319589046

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Advances in Quantum Mechanics by Alessandro Michelangeli,Gianfausto Dell'Antonio Pdf

This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrödinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,8 Mb
Release : 2024-06-01
Category : Electronic
ISBN : 9789814467469

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Trends in Differential Geometry, Complex Analysis and Mathematical Physics by Anonim Pdf

Author : Claudio Bartocci,Luciano Boi,Corrado Sinigaglia
Publisher : World Scientific
Page : 328 pages
File Size : 40,5 Mb
Release : 2011-05-19
Category : Mathematics
ISBN : 9781908977885

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New Trends in Geometry by Claudio Bartocci,Luciano Boi,Corrado Sinigaglia Pdf

This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines. Contents:Geometry, Theoretical Physics and Cosmology:The Emergence of Algebraic Geometry in Contemporary Physics (Claudio Bartocci & Ugo Bruzzo)Quantum Gravity and Quantum Geometry (Mauro Carfora)The de Sitter and Anti-de Sitter Universes (Ugo Moschella)Geometry and Topology in Relativistic Cosmology (Jean-Pierre Luminet)The Problem of Space in Neurosciences:Space Coding in the Cerebral Cortex (Leonardo Fogassi)Action and Space Representation (Anna Berti & Alessia Folegatti)The Space Representations in the Brain (Claudio Brozzoli & Alessandro Farnè)The Enactive Constitution of Space (Carrado Sinigaglia & Chiara Brozzo)Geometrical Methods in the Biological Sciences:Causes and Symmetries in Natural Sciences: The Continuum and the Discrete in Mathematical Modelling (Francis Bailly & Giuseppe Longo)Topological Invariants of Geometrical Surfaces and the Protein Folding Problem (Riccardo Broglia)The Geometry of Dense Packing and Biological Structures (Jean-François Sadoc)When Topology and Biology Meet ‘For Life’: The Interactions Between Topological Forms and Biological Functions (Luciano Boi) Readership: Students and researchers in mathematical sciences at graduate level. Keywords:Geometrical Models;Spatial Perception;Mirror Neurons;Quantum Field Theory;String TheoryKey Features:Multidisciplinary approachDistinguished contributors working in different research areasNovel perspectives on the interactions between mathematics and biology

Author : H. Triebel
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 55,5 Mb
Release : 1987-01-31
Category : Mathematics
ISBN : 9027720770

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Analysis and Mathematical Physics by H. Triebel Pdf

Author : Boris Feigin
Publisher : World Scientific
Page : 128 pages
File Size : 51,8 Mb
Release : 2014-05-14
Category : Electronic
ISBN : 9789814462921

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New Trends in Quantum Integrable Systems by Boris Feigin Pdf

The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto Japan from 27 to 31 July 2009. As a continuation of the RIMS Research Project a Method of Algebraic Analysis in Integrable Systemsa in 2004 the workshop's aim was to cover exciting new developments that have emerged during the recent years.Collected here are research articles based on the talks presented at the workshop including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models integrable models in quantum field theory conformal field theory mathematical aspects of Bethe ansatz special functions and integrable differential/difference equations representation theory of infinite dimensional algebras integrable models and combinatorics.Through these topics the reader can learn about the most recent developments in the field of quantum integrable systems and related areas of mathematical physics."

Author : Huaizhong Zhao,Aubrey Truman
Publisher : World Scientific
Page : 458 pages
File Size : 51,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814360913

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New Trends in Stochastic Analysis and Related Topics by Huaizhong Zhao,Aubrey Truman Pdf

The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025
Publisher : National Academies Press
Page : 223 pages
File Size : 42,9 Mb
Release : 2013-06-13
Category : Mathematics
ISBN : 9780309284578

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The Mathematical Sciences in 2025 by National Research Council,Division on Engineering and Physical Sciences,Board on Mathematical Sciences and Their Applications,Committee on the Mathematical Sciences in 2025 Pdf

The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Author : Daniel Grieser,Stefan Teufel,Andras Vasy
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 41,9 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9783034804660

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Microlocal Methods in Mathematical Physics and Global Analysis by Daniel Grieser,Stefan Teufel,Andras Vasy Pdf

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.​