Please use this identifier to cite or link to this item:
Title: Plane sets invisible in finitely many directions
Author: Plakhov, Alexander
Keywords: Billiard
Issue Date: 17-Jul-2018
Publisher: London Mathematical Society
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.
Peer review: yes
DOI: 10.1088/1361-6544/aac63b
ISSN: 0951-7715
Publisher Version:
Appears in Collections:CIDMA - Artigos
OGTCG - Artigos

Files in This Item:
File Description SizeFormat 
invisible160.pdf249.88 kBAdobe PDFView/Open

FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.