{"product_id":"random-evolutionary-systems-asymptotic-properties-and-large-deviations-hardback-9781786307521","title":"Random Evolutionary Systems; Asymptotic Properties and Large Deviations (Hardback) 9781786307521","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRandom Evolutionary Systems\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAsymptotic Properties and Large Deviations\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDmitri Koroliouk (Author), Igor Samoilenko (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781786307521, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 19 November 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e320 pages\u003cbr\u003e1 x 1 x 1 cm, 0.454 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eWithin the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eIntroduction xi\u003c\/p\u003e \u003cp\u003eChapter 1. Basic Tools for Asymptotic Analysis 1\u003c\/p\u003e \u003cp\u003eChapter 2. Weak Convergence in Poisson and Lévy Approximation Schemes 57\u003c\/p\u003e \u003cp\u003eChapter 3. Large Deviations in the Scheme of Asymptotically Small Diffusion 107\u003c\/p\u003e \u003cp\u003eChapter 4. Large Deviations of Systems in Poisson and Lévy Approximation Schemes 119\u003c\/p\u003e \u003cp\u003eChapter 5. Large Deviations of Systems in the Scheme of Splitting and Double Merging 149\u003c\/p\u003e \u003cp\u003eChapter 6. Difference Diffusion Models with Equilibrium 169\u003c\/p\u003e \u003cp\u003eChapter 7. Random Evolutionary Systems in Discrete–Continuous Time 223\u003c\/p\u003e \u003cp\u003eChapter 8. Diffusion Approximation of Random Evolutions in Random Media 239\u003c\/p\u003e \u003cp\u003eReferences 279\u003c\/p\u003e \u003cp\u003eIndex 287\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52470028960024,"sku":"9781786307521","price":135.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781786307521.jpg?v=1785628875","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/random-evolutionary-systems-asymptotic-properties-and-large-deviations-hardback-9781786307521","provider":"Freshly Printed Books","version":"1.0","type":"link"}