Before revision:  Width of singularity spectrum is in the range \Delta \alpha_{xx}\in [0.304,0.905] which is another confirmation about multifractality nature of underlying data sets. 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:  Width of singularity spectrum is in the range \Delta \alpha_{xx}\in [0.304,0.905] and \Delta \alpha_{xy}\in [0.246,1.178] confirming more complex relation between stock markets .