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Titlebook: Mathematical Control Theory and Finance; Andrey Sarychev,Albert Shiryaev,Maria do Rosário G Book 2008 Springer-Verlag Berlin Heidelberg 20

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发表于 2025-3-21 16:11:31 | 显示全部楼层 |阅读模式
书目名称Mathematical Control Theory and Finance
编辑Andrey Sarychev,Albert Shiryaev,Maria do Rosário G
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概述Includes supplementary material:
图书封面Titlebook: Mathematical Control Theory and Finance;  Andrey Sarychev,Albert Shiryaev,Maria do Rosário G Book 2008 Springer-Verlag Berlin Heidelberg 20
描述Control theory provides a large set of theoretical and computational tools with applications in a wide range of ?elds, running from ”pure” branches of mathematics, like geometry, to more applied areas where the objective is to ?nd solutions to ”real life” problems, as is the case in robotics, control of industrial processes or ?nance. The ”high tech” character of modern business has increased the need for advanced methods. These rely heavily on mathematical techniques and seem indispensable for competitiveness of modern enterprises. It became essential for the ?nancial analyst to possess a high level of mathematical skills. C- versely, the complex challenges posed by the problems and models relevant to ?nance have, for a long time, been an important source of new research topics for mathematicians. The use of techniques from stochastic optimal control constitutes a well established and important branch of mathematical ?nance. Up to now, other branches of control theory have found comparatively less application in ?n- cial problems. To some extent, deterministic and stochastic control theories developed as di?erent branches of mathematics. However, there are many points of contact b
出版日期Book 2008
关键词Deterministic Control; Finance; Interpolation; Stochastic Control; calculus; entropy; incomplete markets; m
版次1
doihttps://doi.org/10.1007/978-3-540-69532-5
isbn_softcover978-3-642-08908-4
isbn_ebook978-3-540-69532-5
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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External Dynamical Equivalence of Analytic Control Systems,c. The delta operator associated to the system on a time scale is a generalization of the differential operator associated to a continuous-time system and of the difference operator associated to a discrete-time system.
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Finding Invariants of Group Actions on Function Spaces, a General Methodology from Non-Abelian Harmome of our previous developments on this subject, in particular in the case of compact groups and motion groups. The last point (motion groups) is in the perspective of invariant image analysis. But our method can be applied to many practical problems of discrimination, or detection, or recognition.
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Carleman Linearization of Linearly Observable Polynomial Systems,shown that this property is equivalent to a rank condition involving matrices that appear in the Carleman linearization. This condition is equivalent to observability of the first . coordinates of the linearized system.
发表于 2025-3-22 09:02:02 | 显示全部楼层
Book 2008 mathematics, like geometry, to more applied areas where the objective is to ?nd solutions to ”real life” problems, as is the case in robotics, control of industrial processes or ?nance. The ”high tech” character of modern business has increased the need for advanced methods. These rely heavily on m
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发表于 2025-3-22 19:39:31 | 显示全部楼层
Optimality of Deterministic Policies for Certain Stochastic Control Problems with Multiple Criteriathis paper we discuss certain conditions that lead to optimality of nonrandomized policies. In the most interesting situations, these conditions do not impose convexity assumptions on the action sets and reward functions.
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Pricing of Defaultable Securities under Stochastic Interest,stochastic equation (Vasicek model) we suggest a numerical algorithm for calculation of BCP based on a piece-wise linear approximation for the stochastic boundaries. We also find an estimation of the rate of convergence of the suggested approximation and illustrate results by numerical examples.
发表于 2025-3-23 09:20:31 | 显示全部楼层
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