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arXiv 1606.02871q-fin.ST
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泰国股票市场跨越2008年金融危机的研究

The study of Thai stock market across the 2008 financial crisis

K. Kanjamapornkul, Richard Pinčák, Erik Bartoš

摘要:

金融市场的上同调理论允许我们在大统一理论中明确定义八种市场状态的情况下,对时间序列数据随时间段的Kolmogorov空间进行变形。在金融市场崩溃的情况下,由交易者之间的耦合行为场诱导的反德西特空间在金融市场时空中起着类似引力场的作用。在这种混合数学超结构下,我们利用泡利矩阵和修正的Wilson环为时间序列数据重新定义了一个行为矩阵。我们用它来检测2008年金融市场崩溃,通过使用一个度的上同调群的球在张量场的相关矩阵在所有可能的主导股票的泰国SET 50指数期货。利用相关矩阵的经验模态分解和内在时间尺度分解以及平面图的贴近中心度计算,对金融张量网络进行了实证分析。

英文摘要:

The cohomology theory for financial market can allow us to deform Kolmogorov space of time series data over time period with the explicit definition of eight market states in grand unified theory. The anti-de Sitter space induced from a coupling behavior field among traders in case of a financial market crash acts like gravitational field in financial market spacetime. Under this hybrid mathematical superstructure, we redefine a behavior matrix by using Pauli matrix and modified Wilson loop for time series data. We use it to detect the 2008 financial market crash by using a degree of cohomology group of sphere over tensor field in correlation matrix over all possible dominated stocks underlying Thai SET50 Index Futures. The empirical analysis of financial tensor network was performed with the help of empirical mode decomposition and intrinsic time scale decomposition of correlation matrix and the calculation of closeness centrality of planar graph.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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