{"product_id":"limit-theorems-for-superprocesses-von-isamu-doku","title":"Limit Theorems for Superprocesses","description":"\u003cp\u003eThis monograph treats recent results on limit theorems for superprocesses (SPs). Chapter 1 is devoted to a class of SPs with deterministic immigration, and deals with a convergence problem for rescaled processes. When such an SP with dependent spatial motion (SDSM) is given, under a proper scaling the rescaled SPs converge to an SP with coalescing spatial motion (SCSM) in the sense of probability distribution on the space of measure-valued continuous paths (pdmc). In Chapter 2 we discuss a distinct convergence problem for a class of SDSMs with deterministic immigration rate. When the immigration rate converges to a non-vanishing deterministic one, then we can prove that under a suitable scaling, the rescaled SPs associated with SDSM converge to a class of immigration SPs associated with SCSM in the sense of pdmc. This rescaled limit does not provide only with a new class of SPs but gives also a new type of limit theorem. A class of homogeneous SPs of diffusion type with spatially dependent parameters and its asymptotic behaviors are discussed in Chapter 3. If the underlying diffusion is recurrent, we prove a limit theorem on the moment of such SPs as time t goes to infinity.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659521201\"\u003e\u003ch3\u003eRescaled Processes, Immigration Superprocesses and Homogeneous Superprocesses\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783659521201","offer_id":39482487111773,"sku":"9783659521201","price":29.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6f5cebf3-90e9-4b79-86a2-6343b3531588.jpg?v=1773555221","url":"https:\/\/shop.autorenwelt.de\/products\/limit-theorems-for-superprocesses-von-isamu-doku","provider":"Autorenwelt Shop","version":"1.0","type":"link"}