Mathematical physics

This largely self-contained research monograph addresses the following type of questions.

This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity.

A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.

The present volume, published at the occasion of his 100th birthday anniversary, is a collection of articles that reviews the impact of Kolomogorov's work in the physical sciences and provides an introduction to the modern developments that have been triggered in this way to encompass recent applications in biology, chemistry, information sciences and finance.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems.

These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85).

The author considers meteorology as a part of fluid dynamics.

Ce cours de mecanique des fluides est avant tout un courstheorique qui repond aux questions fondamentales de ce sujetde recherche.

Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems.

Quantum maps are presented with special emphasis on their physical origin.

The present volume contains the expanded lectures of a meeting on relativistic astrophysics, the goal of which was to provide a modern introduction to specific aspects of the field for young researchers, as well as for nonspecialists from related areas.

In the second part of the 20th century, algebraic methods have emerged as a powerful tool to study theories of physical phenomena, especially those of quantal systems.

This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar'e in Paris.

The aim of this book is twofold: to provide an introduction for newcomers to state of the art computer simulation techniques in space plasma physics and an overview of current developments.

The year 2004 was a remarkable one for the growing ?

Mathematics develops both due to demands of other sciences and due to its internal logic.

This book presents a broad survey of models for critical and catastrophic phenomena in the geosciences, with strong emphasis on earthquakes.

After a century of successes, physicists still feel the need to probe the limits of the validity of theories based on special relativity.

At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems.

The general theory of relativity, as formulated by Albert Einstein in 1915, provided an astoundingly original perspective on the physical nature of gr- itation, showing that it could be understood as a feature of a curvature in the four-dimensional continuum of space-time.

Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems.

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found.

Since the late 1980s, Toeplitz operators and matrices have remained a ?