Mathematics

The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions.

In World Mathematical Year 2000 the traditional St.

The present book includes a set of selected papers from the fourth "e;International Conference on Informatics in Control Automation and Robotics"e; (ICINCO 2007), held at the University of Angers, France, from 9 to 12 May 2007.

Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology.

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.

This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere.

The Israeli GAFA seminar (on Geometric Aspect of Functional Analysis) during the years 2002-2003 follows the long tradition of the previous volumes.

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory.

This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "e;multiscale"e; or "e;multilevel"e; paradigm.

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics.

A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V.

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.

Spin glass theory is going through a stunning period of progress while finding exciting new applications in areas beyond theoretical physics, in particular in combinatorics and computer science.

At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation.

This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists.

Spectral theory of bounded linear operators teams up with von Neumann's theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators.

Big Queues aims to give a simple and elegant account of how large deviations theory can be applied to queueing problems.

This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001).

When we consider the main object of forestry, the tree, it immediately becomes clear why experimental population geneticists have been so hesitant in making this object a primary concern of their research.

It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem.

These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011.

Opening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers.

This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms.

This book presents the foundations of the inverse scattering method and its applications to the theory of solitons in such a form as we understand it in Leningrad.

This monograph develops the Grobner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups.

The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians.

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve.

This book combines two mathematical branches: dynamical systems and radialbasisfunctions.

The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems.

This book presents topics of science and engineering which occur in nature or are part of daily life.

This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems.

Special functions and orthogonal polynomials in particular have been around for centuries.

Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields.

This volume compiles three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field.

These notes deal with deformation theory of complex analytic singularities and related objects.

The proceedings of the Israeli GAFA seminar on Geometric Aspect of Functional Analysis during the years 2001-2002 follow the long tradition of the previous volumes.