GT ADG-Systèmes DynamiquesThe boundary behavior of Loewner equation of one class of driving function.
Henshui Zhang (MAPMO)
mardi 17 octobre 2017 14:00 - Orléans - Salle de Séminaire
This talk is mainly about the paper collisions and spirals of loewner traces (Joan Lind, Donald E. Marshall, Steffen Rohde, Duke Math. J. Volume 154, Number 3 (2010), 527-573) which discussed two types of curve of Loewner equation. The first type is the spiral case, the curve rotates a continuum infinite times near a exact time. In the second case named collision, the curve will intersect the real axis in an angle. These two types of curve have a similar driving function which determines the local behavior of the trace of the Loewner equation.