18.05.2026 16:15 Maximilian Semenowicz:
Normal Forms for Rough Differential EquationsMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)
We aim to provide the foundation for extending normal form theory from stochastic to rough differential equations. We address the existence of normal forms for rough ordinary differential equations, assuming suitable smoothness and the hyperbolicity of an equilibrium point. In this context, we establish local formal equivalence of the two solution flows generated by a random nonlinear RDE and its linearized version.