Speaker
Peter Imkeller
Description
We investigate geometric properties of Weierstrass curves with two
components, representing series based on trigonometric functions. They
are seen to be $\frac12$-Hölder continuous, and are not (para-)controlled
with respect to each other in the sense of the recently established
Fourier analytic approach of rough path analysis. Their graph is represented
as an attractor of a smooth random dynamical system. Our
argument that its graph has Hausdorff dimension 2 is in the spirit of
Ledrappier-Young’s approach of the Hausdorff dimension of attractors.
This is joint work with G. dos Reis (U Edinburgh) and O. Pamen (U
Liverpool and AIMS Ghana).
