Statistical Properties of Deterministic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Properties of Deterministic Systems write by Jiu Ding. This book was released on 2010-06-28. Statistical Properties of Deterministic Systems available in PDF, EPUB and Kindle. Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
Statistical Properties of Discrete Deterministic Systems
Statistical Properties of Discrete Deterministic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Properties of Discrete Deterministic Systems write by Gerard Siew Bing Leng. This book was released on 1988. Statistical Properties of Discrete Deterministic Systems available in PDF, EPUB and Kindle.
Statistical Properties of Deterministic Systems
Statistical Properties of Deterministic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistical Properties of Deterministic Systems write by James Cavanaugh. This book was released on 2017-08. Statistical Properties of Deterministic Systems available in PDF, EPUB and Kindle. Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.
Stochastic Versus Deterministic Systems Of Iterative Processes
Stochastic Versus Deterministic Systems Of Iterative Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Versus Deterministic Systems Of Iterative Processes write by Gangaram S Ladde. This book was released on 2024-04-22. Stochastic Versus Deterministic Systems Of Iterative Processes available in PDF, EPUB and Kindle. Continuous state dynamic models can be reformulated into discrete state processes. This process generates numerical schemes that lead theoretical iterative schemes. This type of method of stochastic modelling generates three basic problems. First, the fundamental properties of solution, namely, existence, uniqueness, measurability, continuous dependence on system parameters depend on mode of convergence. Second, the basic probabilistic and statistical properties, namely, the behavior of mean, variance, moments of solutions are described as qualitative/quantitative properties of solution process. We observe that the nature of probability distribution or density functions possess the qualitative/quantitative properties of iterative prosses as a special case. Finally, deterministic versus stochastic modelling of dynamic processes is to what extent the stochastic mathematical model differs from the corresponding deterministic model in the absence of random disturbances or fluctuations and uncertainties.Most literature in this subject was developed in the 1950s, and focused on the theory of systems of continuous and discrete-time deterministic; however, continuous-time and its approximation schemes of stochastic differential equations faced the solutions outlined above and made slow progress in developing problems. This monograph addresses these problems by presenting an account of stochastic versus deterministic issues in discrete state dynamic systems in a systematic and unified way.
Probabilistic Properties of Deterministic Systems
Probabilistic Properties of Deterministic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic Properties of Deterministic Systems write by Andrzej Lasota. This book was released on 2008-11-27. Probabilistic Properties of Deterministic Systems available in PDF, EPUB and Kindle. This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed.
