Mathematical physics

Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion.

With the advent of sophisticated computer technology and the development of efficient computational algorithms, numerical modeling of complex multicomponent laminar reacting flows has emerged as an increasingly popular and firmly established area of scientific research.

In this monograph the recursion method is presented as a method for the analysis of dynamical properties of quantum and classical many-body systems in thermal equilibrium.

In this volume of original research papers, the main topics discussed relate to the asymptotic windings of planar Brownian motion, structure equations, closure properties of stochastic integrals.

1) Phase Transitions, represented by generalizations of the classical Stefan problem.

This monograph is concerned with the equilibrium of linearly elastic cylinders.

The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics.

The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields.

This volume contains the text of four sets of lecturesdelivered at the third session of the Summer Schoolorganized by C.

The book incorporates research papers and surveys written byparticipants ofan International Scientific Programme onApproximation Theory jointly supervised by Institute forConstructive Mathematics of University of South Florida atTampa, USA and the Euler International MathematicalInstituteat St.

This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991.

Stochastic processes with independent increments on a groupare generalized to the concept of "e;white noise"e; on a Hopfalgebra or bialgebra.

Molecularly small confined phases play an important role in many scientific and engineering disciplines.

'Fractal geometry addressesitselfto questions that many people have been asking themselves.

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31(deg)C and 73 atmospheres pressure.

In general, combustion is a spatially three-dimensional, highly complex physi- co-chemical process oftransient nature.

The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc.

V.

Particles with fractional statistics interpolating betweenbosons and fermions have attracted considerable interestfrom mathematical physicists.

The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential.

Mainly drawing on explicit examples, the author introducesthe reader to themost recent techniques to study finite andinfinite dynamical systems.

This book serves two purposes.

In modern mathematical physics, classical together with quantum, geometrical and functional analytic methods are used simultaneously.

In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods.

Based on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A.

The papers included in this proceedings volume are mostly original research papers, dealing with life-span of waves, nonlinear interaction of waves, and various applications to fluid mechanics.

This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials.

Entropy inequalities, correlation functions, couplingsbetween stochastic processes are powerful techniques whichhave been extensively used to give arigorous foundation tothe theory of complex, many component systems and to itsmany applications in a variety of fields as physics,biology, population dynamics, economics, .

Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics.

The interplay between the spectral theory of Schr|dingeroperators and probabilistic considerations forms the maintheme of these notes, written for the non-specialist readerand intended to provide a brief and elementaryintroductionto this field.

A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications.

Dynamics of Topological Magnetic Solitons gives a theoretical and experimental review of the dynamics of high-speed domain walls and Bloch lines.

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations.

Electron energy loss spectroscopy has become an indispensable tool in surface analysis.

The 1990 CIME course on Mathematical Modelling of IndustrialProcesses set out to illustrate some advances in questionsof industrial mathematics, i.

The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems.

These proceedings of the workshop on quantum probability held in Heidelberg, September 26-30, 1988 contains a representative selection of research articles on quantum stochastic processes, quantum stochastic calculus, quantum noise, geometry, quantum probability, quantum central limit theorems and quantum statistical mechanics.

This set of lecture notes gives a first coherent account of a novel aspect of the living world that can be called biological information.

The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America.

This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai.