{"product_id":"markov-chains-with-asymptotically-zero-denis-denisov-9781009554220","title":"Markov Chains with Asymptotically Zero Drift","description":"This text examines Markov chains whose drift tends to zero at infinity, a topic sometimes labelled as 'Lamperti's problem'. It can be considered a subcategory of random walks, which are helpful in studying stochastic models like branching processes and queueing systems. Drawing on Doob's h-transform and other tools, the authors present novel results and techniques, including a change-of-measure technique for near-critical Markov chains. The final chapter presents a range of applications where these special types of Markov chains occur naturally, featuring a new risk process with surplus-dependent premium rate. This will be a valuable resource for researchers and graduate students working in probability theory and stochastic processes.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Denis Denisov, Dmitry Korshunov, Vitali Wachtel\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1009554220\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781009554220\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 05\/08\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 428\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.63lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.94d","brand":"Denis Denisov","offers":[{"title":"Hardcover","offer_id":47001272680703,"sku":"9781009554220","price":155.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c8056dec-1abe-4082-9506-f3b770b9f5b5.jpg?v=1751600577","url":"https:\/\/www.whiterainbookhouse.com\/products\/markov-chains-with-asymptotically-zero-denis-denisov-9781009554220","provider":"WR Book House","version":"1.0","type":"link"}