The maximum value for Mutual information between two genes is 5.12 (No. of gene are 45000 genes) , Is this result correct , I am used the concatenation between two vectors (genes time series) to compute the joint entropy of (x, y).
maximum MI(x,y) = min(entropy(x), entropy(y)). If x is discretized into N different category then entropy(x) = log(N, _base), where _base is the base that you used when computing your entropy. Normally, _base = 2.