supported by the National Natural Science Foundation of China (Grant Nos. 12371087, 11971109,11971194, 11672074 and 12271185);supported by the program for Probability and Statistics:Theory and Application (Grant No. IRTL1704);the program for Innovative Research Team in Science and Technology in Fujian Province University (Grant No. IRTSTFJ);supported by Guangdong NSFC (Grant No. 2022A1515011124)
Let An∈M2(ℤ)be integral matrices such that the infinite convolution of Dirac measures with equal weightsμ{A_(n),n≥1}δA_(1)^(-1)D*δA_(1)^(-1)A_(2)^(-2)D*…is a probability measure with compact support,where D={(0,...