Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387334377> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4387334377 abstract "We offer some theorems, mainly of finiteness, for certain patterns in elliptical billiards, related to periodic trajectories. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in $(0,pi)$, there are only finitely many cases for both trajectories being periodic. Another instance is the finiteness of the billiard shots which send a given ball into another one so that this falls eventually in a hole. These results have their origin in `relative' cases of the Manin-Mumford conjecture, and constitute instances of how arithmetical content may affect chaotic behaviour (in billiards). We shall also interpret the statements through a variant of the dynamical Mordell-Lang conjecture. In turn, this embraces cases which, somewhat surprisingly, can be treated (only) by completely different methods compared to the former; here we shall offer an explicit example related to diophantine equations in algebraic tori." @default.
- W4387334377 created "2023-10-05" @default.
- W4387334377 creator A5017792265 @default.
- W4387334377 creator A5060602998 @default.
- W4387334377 date "2021-03-21" @default.
- W4387334377 modified "2023-10-14" @default.
- W4387334377 title "Finiteness theorems on elliptical billiards and a variant of the Dynamical Mordell-Lang Conjecture" @default.
- W4387334377 doi "https://doi.org/10.48550/arxiv.2103.11347" @default.
- W4387334377 hasPublicationYear "2021" @default.
- W4387334377 type Work @default.
- W4387334377 citedByCount "0" @default.
- W4387334377 crossrefType "posted-content" @default.
- W4387334377 hasAuthorship W4387334377A5017792265 @default.
- W4387334377 hasAuthorship W4387334377A5060602998 @default.
- W4387334377 hasBestOaLocation W43873343771 @default.
- W4387334377 hasConcept C100461760 @default.
- W4387334377 hasConcept C112343008 @default.
- W4387334377 hasConcept C122041747 @default.
- W4387334377 hasConcept C134306372 @default.
- W4387334377 hasConcept C154945302 @default.
- W4387334377 hasConcept C193605512 @default.
- W4387334377 hasConcept C202444582 @default.
- W4387334377 hasConcept C206530611 @default.
- W4387334377 hasConcept C2524010 @default.
- W4387334377 hasConcept C2777052490 @default.
- W4387334377 hasConcept C2780990831 @default.
- W4387334377 hasConcept C33923547 @default.
- W4387334377 hasConcept C41008148 @default.
- W4387334377 hasConcept C80918210 @default.
- W4387334377 hasConcept C9376300 @default.
- W4387334377 hasConcept C9767117 @default.
- W4387334377 hasConceptScore W4387334377C100461760 @default.
- W4387334377 hasConceptScore W4387334377C112343008 @default.
- W4387334377 hasConceptScore W4387334377C122041747 @default.
- W4387334377 hasConceptScore W4387334377C134306372 @default.
- W4387334377 hasConceptScore W4387334377C154945302 @default.
- W4387334377 hasConceptScore W4387334377C193605512 @default.
- W4387334377 hasConceptScore W4387334377C202444582 @default.
- W4387334377 hasConceptScore W4387334377C206530611 @default.
- W4387334377 hasConceptScore W4387334377C2524010 @default.
- W4387334377 hasConceptScore W4387334377C2777052490 @default.
- W4387334377 hasConceptScore W4387334377C2780990831 @default.
- W4387334377 hasConceptScore W4387334377C33923547 @default.
- W4387334377 hasConceptScore W4387334377C41008148 @default.
- W4387334377 hasConceptScore W4387334377C80918210 @default.
- W4387334377 hasConceptScore W4387334377C9376300 @default.
- W4387334377 hasConceptScore W4387334377C9767117 @default.
- W4387334377 hasLocation W43873343771 @default.
- W4387334377 hasOpenAccess W4387334377 @default.
- W4387334377 hasPrimaryLocation W43873343771 @default.
- W4387334377 hasRelatedWork W1975344034 @default.
- W4387334377 hasRelatedWork W1985405758 @default.
- W4387334377 hasRelatedWork W1999868654 @default.
- W4387334377 hasRelatedWork W2897153210 @default.
- W4387334377 hasRelatedWork W2948347875 @default.
- W4387334377 hasRelatedWork W3026358768 @default.
- W4387334377 hasRelatedWork W3137663503 @default.
- W4387334377 hasRelatedWork W3174056594 @default.
- W4387334377 hasRelatedWork W4286494916 @default.
- W4387334377 hasRelatedWork W61848099 @default.
- W4387334377 isParatext "false" @default.
- W4387334377 isRetracted "false" @default.
- W4387334377 workType "article" @default.