{"product_id":"lectures-on-dynamics-of-stochastic-systems-hardback-9780123849663","title":"Lectures on Dynamics of Stochastic Systems (Hardback) 9780123849663","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLectures on Dynamics of Stochastic Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003e\u003cp\u003eReviews the latest developments in stochastic dynamic systems covering areas such as acoustics, hydrodynamics, magneto-hydrodynamics, radiophysics, theoretical and mathematical physics and applied mathematics\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eValery I. Klyatskin (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780123849663, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 9 September 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e410 pages\u003cbr\u003e22.9 x 15.1 x 2.7 cm, 0.77 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...an extensively revised and more detailed version of the author's earlier book...a statistical description and analysis of dynamic systems that occur in physics and related areas.\" \u003cb\u003e--MathSciNet, Lectures on Dynamics of Stochastic Systems\u003c\/b\u003e\"Taking into account opinions and wishes of readers about both the style of the text and the choice of specific problems, the aim of the book at this edition is simply to present the subject of its title sourced from the series of lectures that the author gave to scientific associates at the Institute of Calculus Mathematics, Russian Academy of Sciences. Each lecture is appended with problems for readers.\" \u003cb\u003e--Zentralblatt MATH 2012-1233-93001\u003c\/b\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eFluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces\/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data.\u003c\/p\u003e \u003cp\u003eThis book is a revised and more comprehensive version of \u003ci\u003eDynamics of Stochastic Systems\u003c\/i\u003e. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eIntroduction \u003c\/p\u003e \u003cp\u003ePart I: Dynamical description of stochastic systems \u003c\/p\u003e \u003cp\u003eLecture 1. Examples, basic problems, peculiar features of solutions \u003c\/p\u003e \u003cp\u003eLecture 2. Solution dependence on problem type, medium parameters, and initial data\u003c\/p\u003e \u003cp\u003eLecture 3. Indicator function and Liouville \u003c\/p\u003e \u003cp\u003ePart II: Statistical description of stochastic systems\u003c\/p\u003e \u003cp\u003eLecture 4. Random quantities, processes, and fields \u003c\/p\u003e \u003cp\u003eLecture 5. Correlation splitting \u003c\/p\u003e \u003cp\u003eLecture 6. General approaches to analyzing stochastic systems \u003c\/p\u003e \u003cp\u003eLecture 7. Stochastic equations with the Markovian fluctuations of\u003c\/p\u003e \u003cp\u003eparameters \u003c\/p\u003e \u003cp\u003eLecture 8. Approximation of Gaussian random field delta-correlated\u003c\/p\u003e \u003cp\u003ein time \u003c\/p\u003e \u003cp\u003eLecture 9. Methods for solving and analyzing the Fokker-Planck\u003c\/p\u003e \u003cp\u003eequation \u003c\/p\u003e \u003cp\u003eLecture 10. Some other approximate approaches to the problems of\u003c\/p\u003e \u003cp\u003estatistical hydrodynamics \u003c\/p\u003e \u003cp\u003ePart III: Examples of coherent phenomena in stochastic dynamic systems 269\u003c\/p\u003e \u003cp\u003eLecture 11. Passive tracer clustering and diffusion in random hydrodynamic and magnetohydrodynamic flows \u003c\/p\u003e \u003cp\u003eLecture 12. Wave localization in randomly layered media \u003c\/p\u003e \u003cp\u003eLecture 13. Caustic structure of wavefield in random media\u003c\/p\u003e \u003cp\u003eBibliography\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Elsevier","offers":[{"title":"Default Title","offer_id":46649318965528,"sku":"9780123849663","price":53.49,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780123849663.jpg?v=1695014066","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/lectures-on-dynamics-of-stochastic-systems-hardback-9780123849663","provider":"Freshly Printed Books","version":"1.0","type":"link"}