{"product_id":"9780821802694-an-introduction-to-branching-measure-val","title":"An Introduction to Branching Measure-Valued Processes","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eBranching measure-valued (BMV) processes has been the subject of much research. This monograph on the theory of BMV processes constructs a large class of BMV processes, called superprocesses, by passing to the limit from branching particle systems.\u003cbr\u003eFor about half a century, two classes of stochastic processes - Gaussian processes and processes with independent increments - have played an important role in the development of stochastic analysis and its applications. During the last decade, a third class - branching measure-valued (BMV) processes - has also been the subject of much research. A common feature of all three classes is that their finite-dimensional distributions are infinitely divisible, allowing the use of the powerful analytic tool of Laplace (or Fourier) transforms.All three classes, in an infinite-dimensional setting, provide means for study of physical systems with infinitely many degrees of freedom. This is the first monograph devoted to the theory of BMV processes. Dynkin first constructs a large class of BMV processes, called superprocesses, by passing to the limit from branching particle systems. Then he proves that, under certain restrictions, a general BMV process is a superprocess. A special chapter is devoted to the connections between superprocesses and a class of nonlinear partial differential equations recently discovered by Dynkin.\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":57151344345462,"sku":"9780821802694","price":107.03,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/www.rarewaves.com\/products\/9780821802694-an-introduction-to-branching-measure-val","provider":"Rarewaves.com","version":"1.0","type":"link"}