The following topical subjects were discussed: quantum stochastic calculus; unbounded quantum dynamical system; the principles of nonstandard analysis that are fundamental to an understanding of a modern approach to stochastic analysis on fractals; Brownian motion on nested fractals; stable processes; stochastic modelling of sexually transmitted diseases.
The main topics covered in this proceedings include: Interacting Particle Systems, Markov Processes and Potential Theory, Random Fields, Stochastic Analysis, Large Deviation Theory, Fractals and Superprocesses; Nonparametric Analysis, Robust Analysis, Multivariate Analysis, The Projection Pursuit, The Jackknife, Time Series, Linear Model, Regression and Limit Theorems.
The symposium discusses and explores the current and future development of some aspects of the theory of nonlinear control systems, adaptive control and filtering, robust control and Hinfinity optimization, stochastic systems and white noise analysis, etc.
The purpose of the workshop was to bring together researchers working in a broad spectrum of nonstationary stochastic processes to present their findings and techniques for analyzing the growing field of nonstationary stochastic processes.
This volume provides an overview of the current state and future developments of Monte Carlo simulation and related tools and methods used in high energy physics and nuclear physics.
This volume contains a selection of papers on recent developments in fields such as stochastic processes, multivariate data analysis and stochastic models in operations research, earth and life sciences and information theory, from an applicative perspective.
As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related.
This proceedings volume reflects the current interest - especially of researchers in the Asia-Pacific region - in probability theory and related theory of analysis and statistics.
This book provides an excellent overview of current developments in a wide range of topics in biomathematics, such as population dynamics, neural networks, fishery markets, transmission of infectious diseases, genetic analysis, biostatistics and biomechanics.
The International Conference on the Progress in Statistical Physics was held in commemoration of Professor Choh, who is renowned for his seminal contribution to the kinetic theory of non-dilute fluids, well known as the Choh-Uhlenbeck equation.
The classical optimal control theory deals with the determination of an optimal control that optimizes the criterion subjects to the dynamic constraint expressing the evolution of the system state under the influence of control variables.
This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.
This book describes how model selection and statistical inference can be founded on the shortest code length for the observed data, called the stochastic complexity.
Patterns are becoming the focal point of many areas of scientific endeavour in recent years owing to the progress of computer science, laboratory experiments and observations, and analytical tools.
At a moderately advanced level, this book seeks to cover the areas of clustering and related methods of data analysis where major advances are being made.
The Monte Carlo method is inherently parallel and the extensive and rapid development in parallel computers, computational clusters and grids has resulted in renewed and increasing interest in this method.
This book is a thorough and self-contained treatise of martingales as a tool in stochastic analysis, stochastic integrals and stochastic differential equations.
This monograph defines the notion of a "e;system"e; by reference to those systems which exhibit goal-oriented behavior and utilize the notion of decision making and controls.
This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems subjected to parametric and external stochastic excitations by the Fokker-Planck equation method.
The author's previous book, Random Walk in Random and Non-Random Environments, was devoted to the investigation of the Brownian motion of a simple particle.
This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.
Quantum Probability and Related Topics is a series of volumes whose goal is to provide a picture of the state of the art in this rapidly growing field where classical probability, quantum physics and functional analysis merge together in an original synthesis which, for 20 years, has been enriching these three areas with new ideas, techniques and results.