35 citations · 60 across the 14 of their papers we have counts for
15 papers
Periodic Points and Smooth Rays
Carsten L. Petersen, Saeed Zakeri
Let be a polynomial map with disconnected filled Julia set and let be a repelling or parabolic periodic point of . We show that if t…
Cyclic Permutations: Degrees and Combinatorial Types
Saeed Zakeri
This note will give an enumeration of -cycles in the symmetric group by their degree (also known as their cyclic descent number) and studies similar counting pr…
On the correspondence of external rays under renormalization
Carsten L. Petersen, Saeed Zakeri
Let be a monic polynomial of degree whose filled Julia set has a non-degenerate periodic component of period and renormalization degree $2 \leq…
On Combinatorial Types of Periodic Orbits of the Map (mod )
Carsten L. Petersen, Saeed Zakeri
We study the combinatorial types of periodic orbits of the standard covering endomorphisms of the circle for integers …
On Margulis cusps of hyperbolic 4-manifolds
Viveka Erlandsson, Saeed Zakeri
We study the geometry of the Margulis region associated with an irrational screw translation acting on the 4-dimensional real hyperbolic space. This is an invariant domain with…
A discreteness criterion for groups containing parabolic isometries
Viveka Erlandsson, Saeed Zakeri
This note will prove a discreteness criterion for groups of orientation-preserving isometries of the hyperbolic space which contain a parabolic element. It can be viewed as a gener…