@article{oai:nagoya.repo.nii.ac.jp:00028387, author = {Ueda, Yoshimichi}, issue = {2}, journal = {Journal of Theoretical Probability}, month = {Jun}, note = {We introduce the concept of matrix liberation process, a random matrix counterpart of the liberation process in free probability, and prove a large deviation upper bound for its empirical distribution and several properties on its rate function. As a simple consequence, we obtain the almost sure convergence of the empirical distribution of the matrix liberation process to that of the corresponding liberation process as continuous processes in the large N limit., ファイル公開:2020/06/01}, pages = {806--847}, title = {Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence}, volume = {32}, year = {2019} }