Degree growth of matrix inversion: birational maps of symmetric, cyclic matrices

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dc.creatorBedford, Eric
dc.creatorKim, Kyounghee
dc.date2005-12-21
dc.date.accessioned2026-07-07T06:55:38Z
dc.date.available2026-07-07T06:55:38Z
dc.descriptionWe consider two (densely defined) involutions on the space of $q\times q$ matrices; $I(x_{ij})$ is the matrix inverse of $(x_{ij})$, and $J(x_{ij})$ is the matrix whose $ij$th entry is the reciprocal $x_{ij}^{-1}$. Let $K=I\circ J$. The set ${\cal SC}_q$ of symmetric, cyclic matrices is invariant under $K$. In this paper, we determine the degrees of the iterates $K^n=K\circ...\circ K$ restricted to ${\cal SC}_q$.
dc.identifierhttps://arxiv.org/abs/math/0512507
dc.identifierhttp://arxiv.org/abs/math/0512507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106346
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.titleDegree growth of matrix inversion: birational maps of symmetric, cyclic matrices
dc.typetext

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