Boundedness of hyperbolic components of Newton maps.

Hongming Nie, The Hebrew University of Jerusalem

Friday, May 24th, 2019
11:00 AM - 12:00 PM
Hylan 1106A

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