{"product_id":"9783528069865","title":"Advanced Lectures in Mathematics: With Special Emphasis on Rapid Mixing","description":"\u003ch1\u003eAdvanced Lectures in Mathematics: With Special Emphasis on Rapid Mixing\u003c\/h1\u003e \u003ch2\u003eBehrends, Ehrhard\u003c\/h2\u003e \u003cp\u003eThe aims of this book are threefold:\u003cbr\u003e\nWe start with a naive description of a Markov chain as a memoryless random walk on a finite set. This is complemented by a rigorous definition in the framework of probability theory, and then we develop the most important results from the theory of homogeneous Markov chains on finite state spaces.\u003cbr\u003e\nChains are called rapidly mixing if all of the associated walks, regardles of where they started, behave similarly already after comparitively few steps: it is impossible from observing the chain to get information on the starting position or the number of steps done so far. We will thoroughly study methods which have been proposed in the last decades to investigate this phenomenon.\u003cbr\u003e\nA number of examples will be studied to indicate how the methods treated in this book can be applied.\u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Vieweg+Teubner Verlag\u003c\/p\u003e \u003cp\u003ePublication Date: 1999-11-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783528069865\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-322-90157-6\u003c\/p\u003e \u003cp\u003eDimensions: 254cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 234\u003c\/p\u003e ","brand":"Vieweg+Teubner Verlag","offers":[{"title":"Default Title","offer_id":45586984468620,"sku":"9783528069865","price":89.1,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783528069865.jpg?v=1775795993","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783528069865","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}