A new partition identity coming from complex dynamics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 $\{f_c:z \mapsto z^d + c \}$, 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.
8 pages, 1 figure

Keywords

Combinatorics, Dynamical Systems, 05A17,11P81,37F10,37F45

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62338

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110075
 http://arxiv.org/abs/math/0110075

Collections

arXiv