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Stochastic Analysis and Applications
This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation.
Random Perturbation Methods with Applications in Science and Engineering
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Chaotic Behavior in Quantum Systems
Six years ago, in June 1977, the first international conference on chaos in classical dynamical systems took place here in Como. For the first time, physicists, mathematicians, biologists, chemists, economists, and others got together to discuss the relevance of the recent progress in nonlinear classical dynamics for their own research field. Immediately after, pUblication of "Nonlinear Science Abstracts" started, which, in turn, led to the Physica D Journal and to a rapid increase of the research activity in the whole area with the creation of numerous "Nonlinear Centers" around the world. During these years great progress has been made in understanding the qualitative behavior of classical...
Electrorheological Fluids And Magnetorheological Suspensions - Proceedings Of The 10th International Conference On Ermr 2006
ERMR 2006 included invited speakers, technical presentations, poster presentations, and a student paper competition. At the conference banquet, Dr. David Carlson of Lord Corporation addressed the conference attendees and gave a stirring speech on the history of ER and MR fluids, as well as current and future applications. A unique feature of the ERMR Conferences is that they comprehensively cover issues ranging from physics to chemistry to engineering applications of ER and MR materials held in a general session to enhance the interaction between the scientists and engineers. The sessions in ERMR 2006 were organized based into two Symposia: a) Materials and b) Applications. Topics covered in the Materials Symposium included: mechanisms, preparation, and characterization of ER and MR materials. Topics covered in the Applications Symposium included: ER and MR devices, control systems, system integration, and applications. This structure was implemented in order to enable interaction between attending scientists and engineers in both the Materials Symposium and the Applications Symposium, and to enhance the free flow of ideas, and the potential collaborative research opportunities.
Bilinear Control Systems
The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.
Seminar on Stochastic Analysis, Random Fields and Application [sic].
This volume contains 20 refereed research or review papers presented at the five-day Third Seminar on Stochastic Analysis, Random Fields and Applications which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from September 20 to 24, 1999. The seminar focused on three topics: fundamental aspects of stochastic analysis, physical modeling, and applications to financial engineering. The third topic was the subject of a mini-symposium on stochastic methods in financial models.
Proceedings of the 10th International Conference on Electrorheological Fluids and Magnetorheological Suspensions
ERMR 2006 included invited speakers, technical presentations, poster presentations, and a student paper competition. At the conference banquet, Dr. David Carlson of Lord Corporation addressed the conference attendees and gave a stirring speech on the history of ER and MR fluids, as well as current and future applications. A unique feature of the ERMR Conferences is that they comprehensively cover issues ranging from physics to chemistry to engineering applications of ER and MR materials held in a general session to enhance the interaction between the scientists and engineers. The sessions in ERMR 2006 were organized based into two Symposia: a) Materials and b) Applications. Topics covered in the Materials Symposium included: mechanisms, preparation, and characterization of ER and MR materials. Topics covered in the Applications Symposium included: ER and MR devices, control systems, system integration, and applications. This structure was implemented in order to enable interaction between attending scientists and engineers in both the Materials Symposium and the Applications Symposium, and to enhance the free flow of ideas, and the potential collaborative research opportunities.
Probability Measures on Semigroups
This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. In addition, this unique work examines the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. This substantially revised text includes exercises at various levels at the end of each section and includes the best available proofs on the most important theorems used in a book, making it suitable for a one semester course on semigroups. In addition, it could also be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergance. This book is ideally suited to graduate students in mathematics, and students in other fields, such as engineering and the sciences with an interest in probability. Students in statistics using advanced probability will also find this book useful.
Continuous-Time Markov Chains and Applications
This book gives a systematic treatment of singularly perturbed systems that naturally arise in control and optimization, queueing networks, manufacturing systems, and financial engineering. It presents results on asymptotic expansions of solutions of Komogorov forward and backward equations, properties of functional occupation measures, exponential upper bounds, and functional limit results for Markov chains with weak and strong interactions. To bridge the gap between theory and applications, a large portion of the book is devoted to applications in controlled dynamic systems, production planning, and numerical methods for controlled Markovian systems with large-scale and complex structures ...
Numerical Fourier Analysis
This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.
