{"product_id":"ergodic-control-of-diffusion-processes-hardback-9780521768405","title":"Ergodic Control of Diffusion Processes (Hardback) 9780521768405","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eErgodic Control of Diffusion Processes\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe first comprehensive account of controlled diffusions with a focus on ergodic or 'long run average' control.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAri Arapostathis (Author), Vivek S. Borkar (Author), Mrinal K. Ghosh (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521768405, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 November 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e340 pages, 1 b\/w illus.\u003cbr\u003e24 x 16.1 x 2 cm, 0.67 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'Assuming good knowledge in analysis, probability theory and stochastic processes, [this book provides] a careful and comprehensive treatment of ergodic control of diffusion processes.' Kurt Marti, Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis comprehensive volume on ergodic control for diffusions highlights intuition alongside technical arguments. A concise account of Markov process theory is followed by a complete development of the fundamental issues and formalisms in control of diffusions. This then leads to a comprehensive treatment of ergodic control, a problem that straddles stochastic control and the ergodic theory of Markov processes. The interplay between the probabilistic and ergodic-theoretic aspects of the problem, notably the asymptotics of empirical measures on one hand, and the analytic aspects leading to a characterization of optimality via the associated Hamilton–Jacobi–Bellman equation on the other, is clearly revealed. The more abstract controlled martingale problem is also presented, in addition to many other related issues and models. Assuming only graduate-level probability and analysis, the authors develop the theory in a manner that makes it accessible to users in applied mathematics, engineering, finance and operations research.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Frequently used notation\u003cbr\u003e 1. Markov processes and ergodic properties\u003cbr\u003e 2. Controlled diffusions\u003cbr\u003e 3. Nondegenerate controlled diffusions\u003cbr\u003e 4. Various topics in nondegenerate diffusions\u003cbr\u003e 5. Controlled switching diffusions\u003cbr\u003e 6. Controlled martingale problems\u003cbr\u003e 7. Degenerate controlled diffusions\u003cbr\u003e 8. Controlled diffusions with partial observations\u003cbr\u003e Epilogue\u003cbr\u003e Appendix\u003cbr\u003e References\u003cbr\u003e Index of symbols\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Stochastics [\u003ca title=\"See our other books on Stochastics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Stochastics%20%5BPBWL%5D%22\"\u003ePBWL\u003c\/a\u003e], Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265048236312,"sku":"9780521768405","price":80.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521768405i.jpg?v=1692019083","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/ergodic-control-of-diffusion-processes-hardback-9780521768405","provider":"Freshly Printed Books","version":"1.0","type":"link"}