{"product_id":"asymptotic-analyses-for-complex-evolutionary-yaroslav-chabanyuk-9781786305565","title":"Asymptotic Analyses for Complex Evolutionary Systems with Markov and Semi-Markov Switching Using Approximation Schemes","description":"This book analyzes stochastic evolutionary models under the impulse of diffusion, as well as Markov and semi-Markov switches. Models are investigated under the conditions of classical and non-classical (Levy and Poisson) approximations in addition to jumping stochastic approximations and continuous optimization procedures. \u003cp\u003eAmong other asymptotic properties, particular attention is given to weak convergence, dissipativity, stability and the control of processes and their generators. \u003c\/p\u003e\u003cp\u003eWeak convergence of stochastic processes is usually proved by verifying two conditions: the tightness of the distributions of the converging processes, which ensures the existence of a converging subsequence, and the uniqueness of the weak limit. Achieving the limit can be done on the semigroups that correspond to the converging process as well as on appropriate generators. While this provides the convergence of generators, a natural question arises concerning the uniqueness of a limit semigroup.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Yaroslav Chabanyuk,Anatolii Nikitin,Uliana Khimka\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1786305569\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781786305565\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley-Iste\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/17\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 240\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.13lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.56d\u003c\/p\u003e","brand":"Yaroslav Chabanyuk","offers":[{"title":"Hardcover","offer_id":48014053474559,"sku":"9781786305565","price":177.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_79838ced-65cd-4512-9b36-fa362836ee03.jpg?v=1767746431","url":"https:\/\/www.whiterainbookhouse.com\/products\/asymptotic-analyses-for-complex-evolutionary-yaroslav-chabanyuk-9781786305565","provider":"WR Book House","version":"1.0","type":"link"}