Wreath Products and Proportions of Periodic Points
2016 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 13, 3944-3969 p.Article in journal (Refereed) Published
Let phi : P-1 -> P-1 be a rational map of degree greater than 1 defined over a number field k with ring of integers o(k). For each prime p of good reduction for phi, we let phi(p) denote the reduction of phi modulo p. A random map heuristic suggests that for large p, the proportion of periodic points of phi(p) in P-1 (o(k)/p) should be small. We show that this is indeed the case for many rational functions phi.
Place, publisher, year, edition, pages
Oxford University Press, 2016. no 13, 3944-3969 p.
IdentifiersURN: urn:nbn:se:kth:diva-194051DOI: 10.1093/imrn/rnv273ISI: 000383777700005ScopusID: 2-s2.0-84981313734OAI: oai:DiVA.org:kth-194051DiVA: diva2:1037538
QC 201610172016-10-172016-10-142016-10-17Bibliographically approved