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Ming liao zi you
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Applied Stochastic Processes
Applied Stochastic Processes presents a concise, graduate-level treatment of the subject, emphasizing applications and practical computation. It also establishes the complete mathematical theory in an accessible way. After reviewing basic probability, the text covers Poisson processes, renewal processes, discrete- and continuous-time Markov chains, and Brownian motion. It also offers an introduction to stochastic differential equations. While the main applications described are queues, the book also considers other examples, such as the mathematical model of a single stock market. With exercises in most sections, this book provides a clear, practical introduction for beginning graduate students. The material is presented in a straightforward manner using short, motivating examples. In addition, the author develops the mathematical theory with a strong emphasis on probability intuition.
Wei liao ming tien
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Highly Mutable Animal RNA Viruses: Adaptation and Evolution
Viruses are widely present in nature, and numerous viral species with a variety of unique characteristics have been identified so far. Even now, new emerging or re-emerging viruses are being found or re-found as novel viral classes or as quasi-species. Indeed, viruses are everywhere. Of note, viruses are pivotal as targets and tools of basic and applied sciences. On one hand, portions of the viruses are infectious for animals including humans, and cause various diseases in infected hosts by distinct mechanisms and at a different level of severity. While many of viruses are known to co-exist quietly with their hosts, pathogenic viruses certainly affect and threaten our society as well as indi...
Lévy Processes in Lie Groups
Up-to-the minute research on important stochastic processes.
Nan Ming shi liao
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Liao an hua ming
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Invariant Markov Processes Under Lie Group Actions
The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical Lévy-Khinchin representation. It interweaves probability theory, topology, and global analysis on manifolds to present the most recent results in a developing area of stochastic analysis. The author’s discussion is structured with three different levels of generality:— A Markov process in a Lie group G that is invariant under the left (or right) translations— A Markov process xt in a manifold X that is invariant under the transitive action of a Lie group G on X— A Markov process xt inv...
