{"product_id":"non-homogeneous-random-walks-mikhail-menshikov-9781107026698","title":"Non-Homogeneous Random Walks: Lyapunov Function Methods for Near-Critical Stochastic Systems","description":"Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototypical near-critical systems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mikhail Menshikov, Serguei Popov, Andrew Wade\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1107026695\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781107026698\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/22\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 382\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.61lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.00d","brand":"Mikhail Menshikov","offers":[{"title":"Hardcover","offer_id":44919848861951,"sku":"9781107026698","price":172.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_91f128e9-0e77-4a33-817d-47606a97fcd1.jpg?v=1710359573","url":"https:\/\/www.whiterainbookhouse.com\/products\/non-homogeneous-random-walks-mikhail-menshikov-9781107026698","provider":"WR Book House","version":"1.0","type":"link"}