Local analytic conjugacy of semi-hyperbolic mappings in two variables, in the non-archimedean setting

dc.contributor.author	Jenkins, Adrian	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2019-07-23T11:14:13Z
dc.date.available	2019-07-23T11:14:13Z
dc.date.issued	2012-04	en_US
dc.identifier.citation	International Journal of Mathematics, 23, (06), 1250059.	en_US
dc.identifier.issn	0129-167X	en_US
dc.identifier.issn	1793-6519	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3726
dc.identifier.uri	https://doi.org/10.1142/S0129167X12500590	en_US
dc.description.abstract	In this note, we consider locally invertible analytic mappings of a two-dimensional space over a non-archimedean field. Such a map is called semi-hyperbolic if its Jacobian has eigenvalues λ1 and λ2 so that λ1 = 1 and \|λ2\| ≠ 1. We prove that two analytic semi-hyperbolic maps are analytically equivalent if and only if they are formally equivalent, applying a generalized version of an estimation scheme from our earlier work	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing	en_US
dc.subject	Conjugacy normal form	en_US
dc.subject	non-archimedean	en_US
dc.subject	p-adic	en_US
dc.subject	formal	en_US
dc.subject	analytic	en_US
dc.subject	holomorphic	en_US
dc.subject	2012	en_US
dc.title	Local analytic conjugacy of semi-hyperbolic mappings in two variables, in the non-archimedean setting	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	International Journal of Mathematics	en_US
dc.publication.originofpublisher	Foreign	en_US