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Stochastic Models of Structural Plasma Turbulence by Victor Yu Korolev,Nina N. Skvortsova Pdf
The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
Stability Problems for Stochastic Models: Theory and Applications by Alexander Zeifman,Victor Korolev,Alexander Sipin Pdf
The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.
Nonlinear Markov Processes and Kinetic Equations by Vassili N. Kolokoltsov Pdf
A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.
Markov Processes, Semigroups and Generators by Vassili N. Kolokoltsov Pdf
Markov processes represent a universal model for a large variety of real life random evolutions. The wide flow of new ideas, tools, methods and applications constantly pours into the ever-growing stream of research on Markov processes that rapidly spreads over new fields of natural and social sciences, creating new streamlined logical paths to its turbulent boundary. Even if a given process is not Markov, it can be often inserted into a larger Markov one (Markovianization procedure) by including the key historic parameters into the state space. This monograph gives a concise, but systematic and self-contained, exposition of the essentials of Markov processes, together with recent achievements, working from the "physical picture" - a formal pre-generator, and stressing the interplay between probabilistic (stochastic differential equations) and analytic (semigroups) tools. The book will be useful to students and researchers. Part I can be used for a one-semester course on Brownian motion, Lévy and Markov processes, or on probabilistic methods for PDE. Part II mainly contains the author's research on Markov processes. From the contents: Tools from Probability and Analysis Brownian motion Markov processes and martingales SDE, ψDE and martingale problems Processes in Euclidean spaces Processes in domains with a boundary Heat kernels for stable-like processes Continuous-time random walks and fractional dynamics Complex chains and Feynman integral
Markov-Modulated Processes and Semiregenerative Phenomena by Loon Ching Tang Pdf
The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.
Publishes papers on plasma physics. The journal covers the following topics: high-temperature plasma physics, connected with the problem of controlled nuclear fusion based on magnetic and inertial confinement; physics of cosmic plasma including magnetosphere plasma, sun and stellar plasma, etc.; gas discharge plasma and plasma generated by laser and particle beams.
Understanding Game Theory: Introduction To The Analysis Of Many Agent Systems With Competition And Cooperation (Second Edition) by Vasily N Kolokoltsov,Oleg A Malafeyev Pdf
Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen. Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.This new edition has been updated and enlarged. In particular, two new chapters were added on statistical limit of games with many agents and on quantum games, reflecting possibly the two most stunning trends in the game theory of the 21st century.
Frontiers in Turbulence and Coherent Structures by J. P. Denier,Jorgen S. Frederiksen Pdf
The Chickasaw Nation, an American Indian nation headquartered in southeastern Oklahoma, entered into a period of substantial growth in the late 1980s. Following its successful reorganization and expansion, which was enabled by federal policies for tribal self-determination, the Nation pursued gaming and other industries to affect economic growth. From 1987 to 2009 the Nation's budget increased exponentially as tribal investments produced increasingly large revenues for a growing Chickasaw population. Coincident to this growth, the Chickasaw Nation began acquiring and creating museums and heritage properties to interpret their own history, heritage, and culture through diverse exhibitionary representations. By 2009, the Chickasaw Nation directed representation of itself at five museum and heritage properties throughout its historic boundaries. Josh Gorman examines the history of these sites and argues that the Chickasaw Nation is using museums and heritage sites as places to define itself as a coherent and legitimate contemporary Indian nation. In doing so, they are necessarily engaging with the shifting historiographical paradigms as well as changing articulations of how museums function and what they represent. The roles of the Chickasaw Nation's museums and heritage sites in defining and creating discursive representations of sovereignty are examined within their historicized local contexts. The work describes the museum exhibitions' dialogue with the historiography of the Chickasaw Nation, the literature of new museum studies, and the indigenous exhibitionary grammars emerging from indigenous museums throughout the United States and the world.
Frontiers In Turbulence And Coherent Structures - Proceedings Of The Cosnet/csiro Workshop On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media by Jim Denier,Jorgen Frederiksen Pdf
This book is based on the proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures held at the Australian National University in Canberra in January 2006.It codifies recent developments in our understanding of the dynamics and statistical dynamics of turbulence and coherent structures in fluid mechanics, atmospheric and oceanic dynamics, plasma physics, and dynamical systems theory. It brings together articles by internationally acclaimed researchers from around the world including Dijkstra (Utrecht), Holmes (Princeton), Jimenez (UPM and Stanford), Krommes (Princeton), McComb (Edinburgh), Chong (Melbourne), Dewar (ANU), Watmuff (RMIT) and Frederiksen (CSIRO).The book will prove a useful resource for researchers as well as providing an excellent reference for graduate students working in this frontier area.
Turbulence and Self-Organization by Mikhail Ya Marov,Aleksander V. Kolesnichenko Pdf
The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.
