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Titlebook: Asymptotic Analysis for Functional Stochastic Differential Equations; Jianhai Bao,George Yin,Chenggui Yuan Book 2016 The Author(s) 2016 Fu

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发表于 2025-3-21 18:13:18 | 显示全部楼层 |阅读模式
期刊全称Asymptotic Analysis for Functional Stochastic Differential Equations
影响因子2023Jianhai Bao,George Yin,Chenggui Yuan
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发行地址Focuses on the long-term behavior and ergodicity of functional stochastic differential equations (FSDEs).Written for researchers and graduate students in probability theory and stochastic analysis.Use
学科分类SpringerBriefs in Mathematics
图书封面Titlebook: Asymptotic Analysis for Functional Stochastic Differential Equations;  Jianhai Bao,George Yin,Chenggui Yuan Book 2016 The Author(s) 2016 Fu
影响因子This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity..This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes..
Pindex Book 2016
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发表于 2025-3-21 23:50:19 | 显示全部楼层
,Convergence Rate of Euler–Maruyama Scheme for FSDEs,ighly nonlinear w.r.t. the delay variables. More precisely, we reveal that convergence rate of the EM scheme is . for the Brownian motion case. As for EM approximation for the pure jump case, it is best to consider the mean-square convergence.
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SpringerBriefs in Mathematicshttp://image.papertrans.cn/b/image/163774.jpg
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Foundations of Equational Logic Programmingox-Ingersoll-Ross model with jumps and memory. We also investigate the corresponding behavior of the two-factor Cox-Ingersoll-Ross model with jumps and memory. The results of this chapter are based on [16].
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Foundations of Environmental EconomicsIn this chapter, by the weak convergence method, based on a variational representation for positive functionals of a Poisson random measure and a Brownian motion, we establish uniform large deviation principles (LDPs for short) for a class of FSDEs of neutral type driven by jump processes.
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