15 citations · 17 across the 4 of their papers we have counts for
4 papers
Control of cancellations that restrain the growth of a binomial recursion
Magnus Aspenberg, Rodrigo Perez
We study a recursion that generates real sequences depending on a parameter . Given a negative the growth of the sequence is very difficult to estimate due to canceling term…
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…
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…
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…