Before revision:  The singularity spectrum for cross-correlation is in the range \Delta \alpha_{xy}\in [0.246,1.178] confirming more complex relation between stock markets .
After revision:  The singularity spectrum for cross-correlation is in the range \Delta \alpha_{xy}\in [0.246,1.178] , respectively. The wide range of singularity spectrum for cross-correlation confirms that the bilateral relation between Stock markets is more complex .