Further remarks on rigidity of Henon maps

dc.contributor.author	PAL, RATNA	en_US
dc.date.accessioned	2020-02-26T06:40:40Z
dc.date.available	2020-02-26T06:40:40Z
dc.date.issued	2020-04	en_US
dc.identifier.citation	Journal of Mathematical Analysis and Applications, 484(2).	en_US
dc.identifier.issn	0022-247X	en_US
dc.identifier.issn	1096-0813	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4454
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2019.123658	en_US
dc.description.abstract	For a Henon map H in C-2, we characterize the polynomial automorphisms of C-2 which keep any fixed level set of the Green function of H completely invariant. The interior of any non-zero sublevel set of the Green function of a Henon map turns out to be a Short C-2 and as a consequence of our characterization, it follows that there exists no polynomial automorphism apart from possibly the affine automorphisms which acts as an automorphism on any of these Short C-2's. Further, we prove that if any two level sets of the Green functions of a pair of Henon maps coincide, then they almost commute.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Henon maps	en_US
dc.subject	Julia sets	en_US
dc.subject	Rigidity	en_US
dc.subject	Green functions	en_US
dc.subject	TOC-FEB-2020	en_US
dc.subject	2020	en_US
dc.title	Further remarks on rigidity of Henon maps	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Mathematical Analysis and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US