Matches in SemOpenAlex for { <https://semopenalex.org/work/W2007497792> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2007497792 abstract "We consider the map X defined on the rational numbers given by x --> x * ceil(x), where ceil(x) denotes the smallest integer greater than or equal to x, and study the problem of finding, for each rational, the smallest number of iterations of X that eventually sends it into an integer. Given two natural numbers M and n, we prove that the set of irreducible fractions with denominator M whose orbits by X reach an integer in exactly n iterations is a disjoint union of congruence classes modulo M^n, establishing along the way a finite procedure to ascertain them. We also describe an efficient algorithm to decide if an orbit fails to hit an integer until a prescribed number of iterations, and deduce that the probability that an orbit enters the set of integers is equal to one." @default.
- W2007497792 created "2016-06-24" @default.
- W2007497792 creator A5003160523 @default.
- W2007497792 creator A5056313732 @default.
- W2007497792 creator A5078136977 @default.
- W2007497792 date "2012-09-28" @default.
- W2007497792 modified "2023-09-25" @default.
- W2007497792 title "Dynamics of a quasi-quadratic map" @default.
- W2007497792 cites W1562455717 @default.
- W2007497792 cites W1990029641 @default.
- W2007497792 cites W2129722831 @default.
- W2007497792 hasPublicationYear "2012" @default.
- W2007497792 type Work @default.
- W2007497792 sameAs 2007497792 @default.
- W2007497792 citedByCount "0" @default.
- W2007497792 crossrefType "posted-content" @default.
- W2007497792 hasAuthorship W2007497792A5003160523 @default.
- W2007497792 hasAuthorship W2007497792A5056313732 @default.
- W2007497792 hasAuthorship W2007497792A5078136977 @default.
- W2007497792 hasConcept C114614502 @default.
- W2007497792 hasConcept C118615104 @default.
- W2007497792 hasConcept C129844170 @default.
- W2007497792 hasConcept C132074034 @default.
- W2007497792 hasConcept C177264268 @default.
- W2007497792 hasConcept C184264201 @default.
- W2007497792 hasConcept C199360897 @default.
- W2007497792 hasConcept C2524010 @default.
- W2007497792 hasConcept C33923547 @default.
- W2007497792 hasConcept C41008148 @default.
- W2007497792 hasConcept C45340560 @default.
- W2007497792 hasConcept C46875033 @default.
- W2007497792 hasConcept C54732982 @default.
- W2007497792 hasConcept C97137487 @default.
- W2007497792 hasConceptScore W2007497792C114614502 @default.
- W2007497792 hasConceptScore W2007497792C118615104 @default.
- W2007497792 hasConceptScore W2007497792C129844170 @default.
- W2007497792 hasConceptScore W2007497792C132074034 @default.
- W2007497792 hasConceptScore W2007497792C177264268 @default.
- W2007497792 hasConceptScore W2007497792C184264201 @default.
- W2007497792 hasConceptScore W2007497792C199360897 @default.
- W2007497792 hasConceptScore W2007497792C2524010 @default.
- W2007497792 hasConceptScore W2007497792C33923547 @default.
- W2007497792 hasConceptScore W2007497792C41008148 @default.
- W2007497792 hasConceptScore W2007497792C45340560 @default.
- W2007497792 hasConceptScore W2007497792C46875033 @default.
- W2007497792 hasConceptScore W2007497792C54732982 @default.
- W2007497792 hasConceptScore W2007497792C97137487 @default.
- W2007497792 hasLocation W20074977921 @default.
- W2007497792 hasOpenAccess W2007497792 @default.
- W2007497792 hasPrimaryLocation W20074977921 @default.
- W2007497792 hasRelatedWork W1004027994 @default.
- W2007497792 hasRelatedWork W1413369149 @default.
- W2007497792 hasRelatedWork W1560001663 @default.
- W2007497792 hasRelatedWork W2072958433 @default.
- W2007497792 hasRelatedWork W2077158246 @default.
- W2007497792 hasRelatedWork W2090143319 @default.
- W2007497792 hasRelatedWork W2097687452 @default.
- W2007497792 hasRelatedWork W2115940446 @default.
- W2007497792 hasRelatedWork W2147888642 @default.
- W2007497792 hasRelatedWork W2164741598 @default.
- W2007497792 hasRelatedWork W2418518234 @default.
- W2007497792 hasRelatedWork W2426210453 @default.
- W2007497792 hasRelatedWork W2507973166 @default.
- W2007497792 hasRelatedWork W2949876859 @default.
- W2007497792 hasRelatedWork W2950539939 @default.
- W2007497792 hasRelatedWork W2952197312 @default.
- W2007497792 hasRelatedWork W2952873652 @default.
- W2007497792 hasRelatedWork W3034331510 @default.
- W2007497792 hasRelatedWork W3037140124 @default.
- W2007497792 hasRelatedWork W65375990 @default.
- W2007497792 isParatext "false" @default.
- W2007497792 isRetracted "false" @default.
- W2007497792 magId "2007497792" @default.
- W2007497792 workType "article" @default.