arXiv Analytics

Sign in

arXiv:0710.1642 [math.DS]AbstractReferencesReviewsResources

Linear Recurrences in the Degree Sequences of Monomial Mappings

Eric Bedford, Kyounghee Kim

Published 2007-10-09Version 1

Let $A$ be an integer matrix, and let $f_A$ be the associated monomial map. We give a connection between the eigenvalues of $A$ and existence of a linear recurrence relation in the sequence of degrees.

Related articles: Most relevant | Search more
arXiv:1007.0253 [math.DS] (Published 2010-07-01, updated 2010-07-18)
Algebraic stability and degree growth of monomial maps and polynomial maps
arXiv:1412.2202 [math.DS] (Published 2014-12-06)
Böttcher coordinates at superattracting fixed points of holomorphic skew products
arXiv:2402.04810 [math.DS] (Published 2024-02-07)
Hausdorff dimension of recurrence sets for matrix transformations of tori