World Scientific Publishing Co Ltd

The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The "clustering" problem, which has recently received a lot of attention, is a special case of optimal partitioning. This book is the first attempt to collect all theoretical developments of optimal partitions, many of...

This book provides a rigorous course in microeconomics at the intermediate level. The book contains an axiomatic approach to the theory with calculus applications (at the one variable level) and a substantial number of homework problems interspersed throughout the text. One can choose to do the course without calculus if desired. There is a...

"Science Sifting" is designed primarily as a textbook for students interested in research and as a general reference book for existing career scientists. The aim of this book is to help budding scientists broaden their capacities to access and use information from diverse sources to the benefit of their research careers. The book describes why the...

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments....

This book is based on extensive experience of teaching mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide a universal and effective method for...

The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices). The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical...