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Markov Decision Processes with Their Applications
Springer 2007; US$ 94.99Examines Markov decision processes (MDPs) - also called stochastic dynamic programming - and their applications in the optimal control of discrete event systems (DESs), optimal replacement, and optimal allocations in sequential online auctions. This book offers applications of MDPs in areas such as the control of discrete event systems. more...
Browning Agents and Active Particles
Springer 2007; US$ 79.95Lays out a vision for a coherent framework for understanding complex systems. By developing the idea of Brownian agents, this work combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It also shows that Brownian agent models can be successfully applied in many different contexts. more...
Brownian Motion
OUP Oxford 2008; US$ 70.00Brownian motion- the incessant motion of small particles suspended in a fluid- is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. - ;Brownian motion - the incessant motion of small... more...
Stopped Random Walks
Springer 2009; US$ 49.95Classical probability theory provides information about random walks after a fixed number of steps. This title shows how this theory can be used to prove limit theorems for renewal counting processes, first passage time processes, and certain two-dimensional random walks, as well as how these results may be used in a variety of applications. more...
Random Walks and Diffusions on Graphs and Databases
Springer 2011; US$ 99.99Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction,... more...
Brownian Motion
De Gruyter 2012; US$ 400.00Stochastic processes occur in a large number of fields in sciences and engineering, so they need to be understood by applied mathematicians, engineers and scientists alike. This work is ideal for a first course introducing the reader gently to the subject matter of stochastic processes. It uses Brownian motion since this is a stochastic process which... more...
Contract Theory in Continuous-Time Models
Springer 2012; US$ 64.99In recent years, there has been a significant increase of interest in continuous-time Principal-Agent models, or contract theory, and their applications. Continuous-time models provide a powerful and elegant framework for solving stochastic optimization problems of finding the optimal contracts between two parties, under various assumptions on the... more...
Quasi-Stationary Distributions
Springer 2012; US$ 99.99Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present the QSDs as the ones that allow describing the long-term behavior conditioned to not being killed. Studies in this research area... more...
Selected Aspects of Fractional Brownian Motion
Springer 2012; US$ 94.99Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium- or long-memory property which is in sharp contrast with martingales... more...
First Steps in Random Walks
OUP Oxford 2011; US$ 71.99The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by... more...
