A new partition identity coming from complex dynamics
Combinatorics
2007-05-23 v3 Dynamical Systems
Abstract
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 the polynomial family , periodic critical orbits with equivalent itineraries. We give two different proofs of the identity; one following the original approach in dynamics and another with purely combinatorial methods.
Cite
@article{arxiv.math/0110075,
title = {A new partition identity coming from complex dynamics},
author = {George E. Andrews and Rodrigo Alonso Perez},
journal= {arXiv preprint arXiv:math/0110075},
year = {2007}
}
Comments
8 pages, 1 figure