Mathematical Approach to Fluctuations PDF Download

Author: Takeyuki Hida
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810212889
Category : Mathematics
Languages : en
Pages : 183

View

Book Description

Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814550973
Category :
Languages : en
Pages : 394

View

Book Description
Contents:Trace Formulae for Levy-Gaussian Measures and Their Application (L Accardi & O G Smolyanov)Mathematical Theory of Early Vision: Historical Note (J J Atick)Unidirectional versus Bi-directional Theory for Trajectory Planning and Control (M Kawato)Relaxations in the Electronic Excited States of Complex Systems (T Kushida)Coherent Approach to Fluctuations (M Suzuki)Simulational and Analytic Studies of Anomalous Relaxation in Disordered Systems (F Yonezawa et al)Work with Pavel Bleher on Eigenvalue Statistics in Integrable Dynamical Systems (F Dyson)and other papers Readership: Applied mathematicians.keywords:

Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814553441
Category :
Languages : en
Pages : 194

View

Book Description

Author: International Institute for Advanced Studies
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description

Author: Takeyuki Hida
Publisher:
ISBN: 9789814534406
Category : MATHEMATICS
Languages : en
Pages :

View

Book Description

Author: Tomasz Komorowski
Publisher: Springer Science & Business Media
ISBN: 364229880X
Category : Mathematics
Languages : en
Pages : 494

View

Book Description
The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including the superdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerful approach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limits and homogenization theory, so besides probability researchers it will also be of interest also to mathematical physicists and analysts.

Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9789810230654
Category : Science
Languages : en
Pages : 320

View

Book Description
This volume consists of three papers, the first paper by T Ray aims to create an instantiation of evolution by natural selection in the computational medium. This creates a conceptual problem that requires considerable art to solve.The second paper by K-I Naka and V Bhanot discusses an interesting application of white noise analysis to the retinal physiology. It deals with identification of the retina mathematically, and one can see profound results that can be discovered only by using white noise analysis.The last paper by T Hida illustrates the use of white noise analysis for biologists. Readers will see the types of topics to which white noise analysis can be applied and how to apply the theory to actual phenomena.

Author: Takeyuki Hida
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789810217563
Category : Mathematics
Languages : en
Pages : 384

View

Book Description

Author: Takeyuki Hida
Publisher:
ISBN: 9789814536110
Category : MATHEMATICS
Languages : en
Pages : 194

View

Book Description

Author: J.G. Taylor
Publisher: Elsevier
ISBN: 9780080887395
Category : Computers
Languages : en
Pages : 381

View

Book Description
The subject of Neural Networks is being seen to be coming of age, after its initial inception 50 years ago in the seminal work of McCulloch and Pitts. It is proving to be valuable in a wide range of academic disciplines and in important applications in industrial and business tasks. The progress being made in each approach is considerable. Nevertheless, both stand in need of a theoretical framework of explanation to underpin their usage and to allow the progress being made to be put on a firmer footing. This book aims to strengthen the foundations in its presentation of mathematical approaches to neural networks. It is through these that a suitable explanatory framework is expected to be found. The approaches span a broad range, from single neuron details to numerical analysis, functional analysis and dynamical systems theory. Each of these avenues provides its own insights into the way neural networks can be understood, both for artificial ones and simplified simulations. As a whole, the publication underlines the importance of the ever-deepening mathematical understanding of neural networks.