Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics. - Igor Ignashin; Anna Radovskaya; Andrew Semenov; Egor Lopatin; Stanislav Potapov; Aleksandr Kovalenko; Andrey Veprikov; Aleksandr Shestakov; Andrey Leonidov; Aleksandr Beznosikov (CoRR, 2026)