Mathematical physics

This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis.

Fractals and disordered systems have recently become the focus of intense interest in research.

This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI).

The International Congress on Mathematical Physics is the flagship conference in this exciting field.

Inverse Scattering Problems and Their Applications to Nonlinear Integrable Equations, Second Edition is devoted to inverse scattering problems (ISPs) for differential equations and their applications to nonlinear evolution equations (NLEEs).

The quest for many-body techniques and approximations to describe the essential physics of strongly interacting systems with many degrees of freedom is one of the central themes of contemporary nuclear physics.

Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn't require the use of divergent quantities and works on a large class of Lorenzian manifolds.

This book serves as a self-contained reference source for engineers, materials scientists, and physicists with an interest in relaxation phenomena.

The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability.

This volume presents the following topics: non-Abelian Toda models, brief remarks for physicists on equivariant cohomology and the Duistermaat-Heckman formula, Casimir effect, quantum groups and their application to nuclear physics, quantum field theory, quantum gravity and the theory of extended objects, and black hole physics and cosmology.

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software.

Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand.

This book highlights the solution algorithms and characteristic analysis methods of fractional-order chaotic systems.

Recent advances in our understanding of complex composite media, especially chiral media for microwave applications, suggest the feasibility of creating novel materials with unusual properties and the possibility of constructing new microwave devices using such materials.

This book presents a variety of techniques for tackling phenomena that are not amenable to the conventional approach based on the concept of probabilities.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

This EMS volume gives an overview of the modern theory of elliptic boundary value problems.

This Festschrift on the occasion of the 75th birthday of S.

Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms.

This IMA Volume in Mathematics and its Applications AMORPHOUS POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a workshop which was an integral part of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are grateful to the Scientific Committee: Haim Brezis Constantine Dafermos Jerry Eri cksen David Kinderlehrer for planning and implementing an exciting and stimulating year-long program.

One of the authors' stated goals for this publication is to "e;modernize"e; the course through the integration of Mathematica.

My purpose in this monograph is to present an essentially self-contained account of the mathematical theory of Galerkin ?

This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory.

This textbook presents the elementary aspects of quantum computing in a mathematical form.

Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities.

This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients.

This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos.

This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics.

This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 17-19, 2022.

This book provides the reader with an introduction to the physics of complex plasmas, a discussion of the specific scientific and technical challenges they present and an overview of their potential technological applications.

Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrodinger equation on the half line with the general selfadjoint boundary condition.

Newton's classical physics and its underlying ontology are loaded with several metaphysical hypotheses that cannot be justified by rational reasoning nor by experimental evidence.

Topological defects are an expected consequence of phase transitions in the early Universe.

In a distilled and pedagogical fashion, the contributions to this volume of the famous summer school in Les Houches cover the recent developments in supersymmetric string theory, the gauge theory/string theory correspondence and string duality.

This book discusses the mathematical foundations of quantum theories.

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions.

What is the first thing that ordinary people, for whom journalists are the proxy, ask when they meet a seismologist?

Our book introduces a method to evaluate the accuracy of trend estimation algorithms under conditions similar to those encountered in real time series processing.

This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity.

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof.

The subject of the book is a biography of the theoretical physicist Arnold Sommerfeld (1868-1951).