15 citations · 17 across the 2 of their papers we have counts for
3 papers
math.GR2004★ 15 cited
On the growth of iterated monodromy groups
Kai-Uwe Bux, Rodrigo Perez
Nekrashevych conjectured that the iterated monodromy groups of quadratic polynomials with preperiodic critical orbit have intermediate growth. We illustrate some of the difficultie…
math.DS2003★ 2 cited
Geometry of -recurrent maps
Rodrigo A. Pérez
Given a critically periodic quadratic map with no secondary renormalizations, we introduce the notion of -recurrent quadratic polynomials. We show that the pieces of the princip…
math.CO2001
A new partition identity coming from complex dynamics
George E. Andrews, Rodrigo Alonso Perez
We present a new identity involving compositions (i.e. ordered partitions of natural numbers). The Formula has its origin in complex dynamical systems and appears when counting, in…