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Titlebook: Computation and Combinatorics in Dynamics, Stochastics and Control; The Abel Symposium, Elena Celledoni,Giulia Di Nunno,Hans Zanna Munthe-

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发表于 2025-3-21 18:02:38 | 显示全部楼层 |阅读模式
书目名称Computation and Combinatorics in Dynamics, Stochastics and Control
副标题The Abel Symposium,
编辑Elena Celledoni,Giulia Di Nunno,Hans Zanna Munthe-
视频video
概述High-quality articles written by leading experts, including several ICM speakers, the 2014 Fields medalist Martin Hairer and the 2018 Henri Poincaré Prize laureate Percy Deift.Presents developments in
丛书名称Abel Symposia
图书封面Titlebook: Computation and Combinatorics in Dynamics, Stochastics and Control; The Abel Symposium,  Elena Celledoni,Giulia Di Nunno,Hans Zanna Munthe-
描述The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.. .In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields...The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research,
出版日期Conference proceedings 2018
关键词stochastic differential equations; regularity structures; rough paths; free probability; random matrices
版次1
doihttps://doi.org/10.1007/978-3-030-01593-0
isbn_ebook978-3-030-01593-0Series ISSN 2193-2808 Series E-ISSN 2197-8549
issn_series 2193-2808
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Stochastic Functional Differential Equations and Sensitivity to Their Initial Path,s with coefficients depending on the past history of the process itself. Such coefficients are hence defined on a functional space. Models with memory appear in many applications ranging from biology to finance. Here we consider the results of some evaluations based on these models (e.g. the prices
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The Geometry of Characters of Hopf Algebras,f quantum field theory, numerical analysis and the theory of regularity structures for stochastic partial differential equations. A Hopf algebra is a structure that is simultaneously a (unital, associative) algebra, and a (counital, coassociative) coalgebra that is also equipped with an antiautomorp
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BSDEs with Default Jump,ntensity process . = (..). The driver of the BSDEs can be of a generalized form involving a singular . finite variation process. In particular, we provide a comparison theorem and a strict comparison theorem. In the special case of a generalized . driver, we show an explicit representation of the so
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Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space,onsider Lévy processes in Hilbert space. We provide the basic definitions, show relevant properties of these processes and establish the equivalents of CARMA processes on the real line. Finally, CARMA processes in Hilbert space are linked to the stochastic wave equation and functional autoregressive
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