Dynamicsof Stochastic Momentum Methodson Large-scale, Quadratic Models Supplementarymaterial

Wecallthisthegeneral SDAHB; one recovers SDAHBwhen 1 = , 2 =0, and = . M (t)are (first) izedand (second) for Theorem4by "(t)= FH(t)+ Z t (i 1) (j 1) (i 1) '(s) =( 1 +O(s 1))Is(t), Let bethe Malthusianexponent, ifitexists, or otherwise.