About: Does a billiard orbit determine its (polygonal) table?

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary and the two sequences of footpoints of these orbits have the same combinatorial order. We study this equivalence relation under additional regularity conditions on the orbit. We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary and the two sequences of footpoints of these orbits have the same combinatorial order. We study this equivalence relation under additional regularity conditions on the orbit. (en)
Title	Does a billiard orbit determine its (polygonal) table? Does a billiard orbit determine its (polygonal) table? (en)
skos:prefLabel	Does a billiard orbit determine its (polygonal) table? Does a billiard orbit determine its (polygonal) table? (en)
skos:notation	RIV/68407700:21110/11:00189587!RIV12-MSM-21110___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0854), Z(MSM6840770010)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Bobok, Jozef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	195185
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/11:00189587
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	polygon; billiard map; order equivalence (en)
http://linked.open.../riv/klicoveSlovo	billiard map order equivalence polygon
http://linked.open...odStatuVydavatele	PL - Polská republika
http://linked.open...ontrolniKodProRIV	[7C4B02D69660]
http://linked.open...i/riv/nazevZdroje	Fundamenta Mathematicae
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Dynamics of Iterative Systems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	212
http://linked.open...iv/tvurceVysledku	Bobok, Jozef Troubetzkoy, S.
http://linked.open...ain/vavai/riv/wos	000290643700002
http://linked.open...n/vavai/riv/zamer	Aplikovaná matematika v technických a fyzikálních vědách
issn	0016-2736
number of pages	16 (xsd:int)
http://bibframe.org/vocab/doi	10.4064/fm212-2-2
http://localhost/t...ganizacniJednotka	21110

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