Mathematical physics

Processes with long range correlations occur in a wide variety of fields ranging from physics and biology to economics and finance.

"e;Granular Gases"e; are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively.

The amount of cosmological data has dramatically increased in the past decades due to an unprecedented development of telescopes, detectors and satellites.

Nonextensive statistical mechanics is now a rapidly growing field and a new stream in the research of the foundations of statistical mechanics.

The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space.

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.