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Geometric location of periodic points of 2-ramified power seriesPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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2018 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 465, no 2, p. 762-794Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2018. Vol. 465, no 2, p. 762-794
##### National Category

Geometry
##### Research subject

Mathematics, Mathematics
##### Identifiers

URN: urn:nbn:se:lnu:diva-64440DOI: 10.1016/j.jmaa.2018.05.009OAI: oai:DiVA.org:lnu-64440DiVA, id: diva2:1099114
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt811",{id:"formSmash:j_idt811",widgetVar:"widget_formSmash_j_idt811",multiple:true}); Available from: 2017-05-29 Created: 2017-05-29 Last updated: 2018-09-10Bibliographically approved
##### In thesis

In this paper we study the geometric location of periodic points of power series defined over fields of prime characteristic *p*. More specifically, we find a lower bound for the absolute value of all periodic points in the open unit disk of minimal period p^{n} of 2-ramified power series. We prove that this bound is optimal for a large class of power series. Our main technical result is a computation of the first significant terms of the pnth iterate of 2-ramified power series. As a by-product we obtain a self-contained proof of the characterization of 2-ramified power series.

1. Ramification numbers and periodic points in arithmetic dynamical systems$(function(){PrimeFaces.cw("OverlayPanel","overlay1175046",{id:"formSmash:j_idt1257:0:j_idt1261",widgetVar:"overlay1175046",target:"formSmash:j_idt1257:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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