Formally it is nothing but tests for distance multivariance applied to the Monte Carlo emprical transform of the data. Hence its values vary for repeated runs.
copula.multicorrelation.test(x, vec = 1:ncol(x), ...)matrix, each row is a sample
vector which indicates which columns are treated as one sample
these are passed to cdm
For the theoretic background see the reference [5] given on the main help page of this package: multivariance-package.