Lectures On Random Evolution PDF Download
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| Author | : Mark A. Pinsky |
| Publisher | : World Scientific |
| Total Pages | : 158 |
| Release | : 1991 |
| Genre | : Science |
| ISBN | : 9789810205591 |
Download Lectures on Random Evolution Book in PDF, ePub and Kindle
Random evolution denotes a class of stochastic processes which evolve according to a rule which varies in time according to jumps. This is in contrast to diffusion processes, which assume that the rule changes continuously with time. Random evolutions provide a very flexible language, having the advantage that they permit direct numerical simulation-which is not possible for a diffusion process. Furthermore, they allow connections with hyperbolic partial differential equations and the kinetic theory of gases, which is impossible within the domain of diffusion proceses. They also posses great geometric invariance, allowing formulation on an arbitrary Riemannian manifold. In the field of stochastic stability, random evolutions furnish some easily computable models in which to study the Lyapunov exponent and rotation numbers of oscillators under the influence of noise. This monograph presents the various aspects of random evolution in an accessible and interesting format which will appeal to a large scientific audience.
| Author | : Anatoly Swishchuk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 218 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 9401715068 |
Download Evolution of Biological Systems in Random Media: Limit Theorems and Stability Book in PDF, ePub and Kindle
This is a new book in biomathematics, which includes new models of stochastic non-linear biological systems and new results for these systems. These results are based on the new results for non-linear difference and differential equations in random media. This book contains: -New stochastic non-linear models of biological systems, such as biological systems in random media: epidemic, genetic selection, demography, branching, logistic growth and predator-prey models; -New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); -New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; -New approach to the study of stochastic biological systems in random media such as random evolution approach.
| Author | : Bert E. Fristedt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 775 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1489928375 |
Download A Modern Approach to Probability Theory Book in PDF, ePub and Kindle
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.
| Author | : Alexandru Nica |
| Publisher | : Cambridge University Press |
| Total Pages | : 430 |
| Release | : 2006-09-07 |
| Genre | : Mathematics |
| ISBN | : 0521858526 |
Download Lectures on the Combinatorics of Free Probability Book in PDF, ePub and Kindle
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
| Author | : Jin Feng |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 426 |
| Release | : 2015-02-03 |
| Genre | : Large deviations |
| ISBN | : 1470418703 |
Download Large Deviations for Stochastic Processes Book in PDF, ePub and Kindle
The book is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts. Part 1 gives necessary and sufficient conditions for exponential tightness that are analogous to conditions for tightness in the theory of weak convergence. Part 2 focuses on Markov processes in metric spaces. For a sequence of such processes, convergence of Fleming's logarithmically transformed nonlinear semigroups is shown to imply the large deviation principle in a manner analogous to the use of convergence of linear semigroups in weak convergence. Viscosity solution methods provide applicable conditions for the necessary convergence. Part 3 discusses methods for verifying the comparison principle for viscosity solutions and applies the general theory to obtain a variety of new and known results on large deviations for Markov processes. In examples concerning infinite dimensional state spaces, new comparison principles are derived for a class of Hamilton-Jacobi equations in Hilbert spaces and in spaces of probability measures.
| Author | : Wolfgang Kliemann |
| Publisher | : CRC Press |
| Total Pages | : 302 |
| Release | : 2018-05-04 |
| Genre | : Mathematics |
| ISBN | : 1351091956 |
Download Nonlinear Dynamics and Stochastic Mechanics Book in PDF, ePub and Kindle
Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.
| Author | : Muriel Gargaud |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 798 |
| Release | : 2016-01-23 |
| Genre | : Science |
| ISBN | : 3540262296 |
Download Lectures in Astrobiology Book in PDF, ePub and Kindle
First comprehensive, beginning graduate level book on the emergent science of astrobiology.
| Author | : Mike Steel |
| Publisher | : SIAM |
| Total Pages | : 302 |
| Release | : 2016-09-29 |
| Genre | : Science |
| ISBN | : 161197447X |
Download Phylogeny Book in PDF, ePub and Kindle
Phylogenetics is a topical and growing area of research. Phylogenies (phylogenetic trees and networks) allow biologists to study and graph evolutionary relationships between different species. These are also used to investigate other evolutionary processes?for example, how languages developed or how different strains of a virus (such as HIV or influenza) are related to each other. This self-contained book addresses the underlying mathematical theory behind the reconstruction and analysis of phylogenies. The theory is grounded in classical concepts from discrete mathematics and probability theory as well as techniques from other branches of mathematics (algebra, topology, differential equations). The biological relevance of the results is highlighted throughout. The author supplies proofs of key classical theorems and includes results not covered in existing books, emphasizes relevant mathematical results derived over the past 20 years, and provides numerous exercises, examples, and figures.
| Author | : Alan Frieze |
| Publisher | : Cambridge University Press |
| Total Pages | : 483 |
| Release | : 2016 |
| Genre | : Mathematics |
| ISBN | : 1107118506 |
Download Introduction to Random Graphs Book in PDF, ePub and Kindle
The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
| Author | : Anatoliy Pogorui |
| Publisher | : John Wiley & Sons |
| Total Pages | : 224 |
| Release | : 2021-01-11 |
| Genre | : Mathematics |
| ISBN | : 1119808170 |
Download Random Motions in Markov and Semi-Markov Random Environments 2 Book in PDF, ePub and Kindle
This book is the second of two volumes on random motions in Markov and semi-Markov random environments. This second volume focuses on high-dimensional random motions. This volume consists of two parts. The first expands many of the results found in Volume 1 to higher dimensions. It presents new results on the random motion of the realistic three-dimensional case, which has so far been barely mentioned in the literature, and deals with the interaction of particles in Markov and semi-Markov media, which has, in contrast, been a topic of intense study. The second part contains applications of Markov and semi-Markov motions in mathematical finance. It includes applications of telegraph processes in modeling stock price dynamics and investigates the pricing of variance, volatility, covariance and correlation swaps with Markov volatility and the same pricing swaps with semi-Markov volatilities.
