Limit Theorems for Superprocesses: Rescaled Processes, Immigration Superprocesses and Homogeneous Superprocesses - Softcover
Synopsis
This 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.
"synopsis" may belong to another edition of this title.
About the Author
Took his Ph.D. in Probability Theory at University of Tsukuba. Professor at Saitama University, Japan. His field of study: stochastic partial differential equations, white noise analysis, and superprocesses. Author of "Probability and Statistics" (in Japanese) in Math Textbook Ser., Sugakushobo, Tokyo. A member of the Mathematical Society of Japan.
"About this title" may belong to another edition of this title.
Search results for Limit Theorems for Superprocesses: Rescaled Processes,...
Seller Image
Limit Theorems for Superprocesses
Published by
LAP LAMBERT Academic Publishing Jan 2014, 2014
ISBN 10: 3659521205
ISBN 13: 9783659521201
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This 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. 128 pp. Englisch. Seller Inventory # 9783659521201
Seller Image
Limit Theorems for Superprocesses
Published by
LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659521205
ISBN 13: 9783659521201
New
Softcover
Seller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Doku IsamuTook his Ph.D. in Probability Theory at University of Tsukuba. Professor at Saitama University, Japan. His field of study: stochastic partial differential equations, white noise analysis, and superprocesses. Author of Prob. Seller Inventory # 5162092
Seller Image
Limit Theorems for Superprocesses
Published by
LAP LAMBERT Academic Publishing Jan 2014, 2014
ISBN 10: 3659521205
ISBN 13: 9783659521201
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Neuware -This 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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 128 pp. Englisch. Seller Inventory # 9783659521201
Seller Image
Limit Theorems for Superprocesses : Rescaled Processes, Immigration Superprocesses and Homogeneous Superprocesses
Published by
LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659521205
ISBN 13: 9783659521201
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This 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. Seller Inventory # 9783659521201