It is known for a large number of transcendental entire
functions with bounded singular set that every escaping point can
eventually be connected to infinity by a curve of escaping points, now
often called *(Devaney) hairs*. When this is the case, we say that the
function is *criniferous*. Although not all functions with bounded
singular set are criniferous, those with finite order of growth are,
and, in some special cases, their Julia set is a collection of hairs
forming a topological object known as *Cantor bouquet*. In this talk, we
describe a new class of criniferous functions and explore their relation
to Cantor bouquets. This is joint work with L. Rempe.
Link
Meeting ID: 838 4895 5300,
Passcode: 797123