A new partition identity coming from complex dynamics

Simple item page
dc.creatorAndrews, George E.
dc.creatorPerez, Rodrigo Alonso
dc.date2001-10-06
dc.date2003-06-24
dc.date.accessioned2026-07-07T04:43:42Z
dc.date.available2026-07-07T04:43:42Z
dc.descriptionWe 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.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0110075
dc.identifierhttp://arxiv.org/abs/math/0110075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62338
dc.subjectCombinatorics
dc.subjectDynamical Systems
dc.subject05A17,11P81,37F10,37F45
dc.titleA new partition identity coming from complex dynamics
dc.typetext

Files

Collections

arXiv