We analyze correlation structures in financial markets by coarse graining the Pearson correlation matrices according to market sectors to obtain Guhr matrices using Guhr's correlation method according to Ref. [P. Rinn {\it et. al.}, Europhysics Letters 110, 68003 (2015)]. We compare the results for the evolution of market states and the corresponding transition matrices with those obtained using Pearson correlation matrices. The behavior of market states is found to be similar for both the coarse grained and Pearson matrices. However, the number of relevant variables is reduced by orders of magnitude.

翻译：我们通过根据市场板块对皮尔逊相关矩阵进行粗粒化，利用参考文献[P. Rinn等人，《欧洲物理学快报》110, 68003 (2015)]中Guhr的相关方法获得Guhr矩阵，从而分析金融市场中的相关结构。我们将市场状态的演化及其对应的转移矩阵的结果与使用皮尔逊相关矩阵获得的结果进行比较。研究发现，粗粒化矩阵与皮尔逊矩阵所呈现的市场状态行为相似。然而，相关变量的数量级显著减少。