Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic m
Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characteri
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the tex
Assembled in this volume is a collection of some of the state-of-the-art methods that are using computer vision and machine learning techniques as applied in robotic applications. Currently there is a
In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniqu
Featuring updated versions of two research courses held at the Centre Emile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation
This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattic
This volume offers a background in modern high spatial resolution techniques, illustrating how such methods have impacted on our understanding of young stars. It provides hands-on insight into observi
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological
This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of ph
This volume is a collection of Nishina Memorial Lectures delivered by distinguished physicists during the past 50 years at the invitation of the Nishina Memorial Foundation. The Lectures commemorate Y
The field of quantum plasmas has a long and diverse tradition. The subject is becoming of increasing interest. This book synthesizes two fields: classical kinetic theory of collisionless plasmas and q
A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may
This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the frame
This book offers a portrait of the research landscape of present-day fundamental theoretical physics. It presents contributions on particle theory, quantum field theory, general relativity, quantum gr
This book constitutes the refereed proceedings of the Second Brazilian Symposium on Bioinformatics, BSB 2007, held in Angra dos Reis, Brazil, in August 2007, co-located with IWGD 2007, the Internation
These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mil
The nature and essence of Dark Matter and Dark Energy have become the central issue in modern cosmology over the past years. This extensive volume, an outgrowth of a topical and tutorial summer school
This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide var
This volume presents the foundations of carbon nanotube science, reviewing recent developments and prospects for practical application. Each chapter summarizes relevant concepts from physics, chemistr
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? The pre
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progre
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmat
This book gives a detailed account of some recent developments in the field of probability and statistics for dependent data. It covers a wide range of topics. A special section is devoted to statisti
The rise and fall of John Law's financial system affected many investors and was widely commented on throughout Europe. Among the many forms of that commentary were medals, mostly satirical and many m
This is the second of two volumes containing the revised and completed notes of lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This scho
Marker (mathematics, statistics, and computer science; U. of Illinois-Chicago), Margit Messmer, and Anand Pilay (both: mathematics, U. of Illinois-Urbana-Champaign) present four lectures for a graduat
Exact solutions to Einstein’s equations have been useful for the understanding of general relativity in many respects. They have led to such physical concepts as black holes and event horizons, and he
Plasma Physics: Confinement, Transport and Collective Effects provides an overview of modern plasma research with special focus on confinement and related issues. Beginning with a broad introduction,
A fundamental issue in statistical analysis is testing the fit of a particular probability model to a set of observed data. Monte Carlo approximation to the null distribution of the test provides a co
This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The con
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This b
This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolution equations. In particular the contributions deal with Markov semigroups
