Hongming Nie, The Hebrew University of Jerusalem
11:00 AM - 12:00 PM
We investigate boundedness of hyperbolic components in the moduli space of Newton maps. For quartic maps, (i) we prove hyperbolic components possessing two distinct attracting cycles each of period at least two are bounded, and (ii) we characterize the possible points on the boundary at infinity for some other types of hyperbolic components. For general maps, we prove hyperbolic components whose elements have fixed superattracting basins mapping by degree at least three are unbounded. It is a joint work with K. Pilgrim.
Event contact: hazel dot mcknight at rochester dot edu