Guionnet–Shlyakhtenko論文の Corollary 4.3 と 4.5 をやります。と言ってもGS論文の方にはほとんど何も書いていないので，必要な議論を
1. Yoann Dabrowski, A free stochastic partial differential equation, Ann. Inst. Henri Poincaré Probab. Stat. 50 (2014), no. 4, 1404–1455. MR 3270000
2. Dimitri Shlyakhtenko, Some estimates for non-microstates free entropy dimension with applications to q-semicircular families, Int. Math. Res. Not. (2004), no. 51, 2757–2772. MR 2130608
3. Dan Voiculescu, The analogues of entropy and of Fisher’s information measure in free probability theory. VI. Liberation and mutual free information, Adv. Math. 146 (1999), no. 2, 101–166. MR 1711843
4. Dan Voiculescu, A note on cyclic gradients, Indiana Univ. Math. J. 49 (2000), no. 3, 837–841. MR 1803213
から拾って書いています。