Plane sets invisible in finitely many directions

Plakhov, Alexander

doi:10.1088/1361-6544/aac63b

Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/24538

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DC Field	Value	Language
dc.contributor.author	Plakhov, Alexander	pt_PT
dc.date.accessioned	2018-10-31T11:40:49Z	-
dc.date.available	2018-10-31T11:40:49Z	-
dc.date.issued	2018-07-17	-
dc.identifier.issn	0951-7715	pt_PT
dc.identifier.uri	http://hdl.handle.net/10773/24538	-
dc.description.abstract	We consider the problem of mirror invisibility for plane sets. Given a circle and a finite number of unit vectors (defining the directions of invisibility) such that the angles between them are commensurable with Pi, for any epsilon > 0 there exists a set invisible in the chosen directions that contains the circle and is contained in its epsilon-neighborhood. This set is the disjoint union of infinitely many domains with piecewise smooth boundary.	pt_PT
dc.language.iso	eng	pt_PT
dc.publisher	London Mathematical Society	pt_PT
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147206/PT	pt_PT
dc.relation	info:eu-repo/grantAgreement/FCT/5876-PPCDTI/113470/PT	pt_PT
dc.rights	openAccess	pt_PT
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	Billiard	pt_PT
dc.subject	Invisibility	pt_PT
dc.title	Plane sets invisible in finitely many directions	pt_PT
dc.type	article	pt_PT
dc.description.version	published	pt_PT
dc.peerreviewed	yes	pt_PT
degois.publication.firstPage	3914	pt_PT
degois.publication.issue	8	pt_PT
degois.publication.lastPage	3938	pt_PT
degois.publication.title	Nonlinearity	pt_PT
degois.publication.volume	31	pt_PT
dc.relation.publisherversion	http://iopscience.iop.org/article/10.1088/1361-6544/aac63b/meta	pt_PT
dc.identifier.doi	10.1088/1361-6544/aac63b	pt_PT
dc.identifier.essn	1361-6544	pt_PT
Appears in Collections:	CIDMA - Artigos OGTCG - Artigos

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