Applied mathematics

Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules.

Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology.

The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space.

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications.

High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems.

The point of departure of this book is a triad of themes: information theory, thermodynamics, and quantum mechanics.

Integrated quantum hybrid devices, built from classical dielectric nanostructures and individual quantum systems, promise to provide a scalable platform to study and exploit the laws of quantum physics.

Experimental methods employing spin resonance effects (nuclear magnetic resonance and electron spin resonance) are broadly used in molecular science due to their unique potential to reveal mechanisms of molecular motion, structure, and interactions.

This unique volume provides self-contained accounts of some recent trends in Biostatistics methodology and their applications.

This distinctive volume presents a clear, rigorous grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to timely leading-edge developments in the field - including some innovations by the authors themselves - that have not appeared in any other book.

In the last forty years, nonlinear analysis has been broadly and rapidly developed.

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics.

The book describes a useful tool for solving linear inverse problems subject to convex constraints.

This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems.

This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy.

This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.

This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges.

The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations.

This volume contains the selected contributed papers of the BIOMAT 2010 International Symposium which has been organized as a joint conference with the 2010 Annual Meeting of the Society for Mathematical Biology (www.

Memory is a universal function of organized matter.

The work done in chaotic modeling and simulation during the last decades has changed our views of the world around us and has introduced new scientific tools, methods and techniques.

The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering.

The Proceedings describe the current state of research dealing with biological shape analysis.

This book introduces some advanced topics in probability theories - both pure and applied - is divided into two parts.

The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on "e;Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design"e; from 1 July to 31 August 2009.

This book provides a self-contained presentation of the physical and mathematical laws governing complex systems.

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications.

The aim of the book is to present side-by-side representative and cutting-edge samples of work in mathematical psychology and the analytic philosophy with prominent use of mathematical formalisms.

Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system.

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed.

A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the "e;reversibility paradox"e;, with modern tools.

This book provides a broad introduction to the generalized inverses, Moore-Penrose inverses, Drazin inverses and T-S outer generalized inverses and their perturbation analyses in the spaces of infinite-dimensional.

Stochastic analysis on Riemannian manifolds without boundary has been well established.

The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) were derived.

Weak convergence of stochastic processes is one of most important theories in probability theory.

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics.

This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France).

This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind.

Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing.

The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory.

This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos.

This two-volume book is devoted to mathematical theory, numerics and applications of hyperbolic problems.

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space.

Atomic correlations have been studied in physics for over 50 years and known as collective effects until recently when they came to be recognized as a source of entanglement.

The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication.

This book provides quick access to quantum mechanics without dealing with a true textbook that demands proper specialized studies in physics (and related mathematics) for about a couple of years.

Science Sifting is designed primarily as a textbook for students interested in research and as a general reference book for existing career scientists.

This book shows the breadth and depth of stochastic programming applications.

Slime mould Physarum polycephalum is a monstrous single cell well known for its task-solving abilities - solves computational geometry and logical problems, navigates robots and generates music.