Matches in SemOpenAlex for { <https://semopenalex.org/work/W2883144620> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2883144620 abstract "For any $beta > 1$, denoted by $r_n(x,beta)$ the maximal length of consecutive zeros amongst the first $n$ digits of the $beta$-expansion of $xin[0,1]$. The limit superior (respectively limit inferior) of $frac{r_n(x,beta)}{n}$ is linked to the classical Diophantine approximation (respectively uniform Diophantine approximation). We obtain the Hausdorff dimension of the level set $$E_{a,b}=left{x in [0,1]: liminf_{nrightarrow infty}frac{r_n(x,beta)}{n}=a, limsup_{nrightarrow infty}frac{r_n(x,beta)}{n}=bright} (0leq aleq bleq1).$$ Furthermore, we show that the extremely divergent set $E_{0,1}$ which is of zero Hausdorff dimension is, however, residual. The same problems in the parameter space are also examined." @default.
- W2883144620 created "2018-08-03" @default.
- W2883144620 creator A5009547692 @default.
- W2883144620 date "2018-05-12" @default.
- W2883144620 modified "2023-09-27" @default.
- W2883144620 title "Diophantine approximation and run-length function on beta-expansions" @default.
- W2883144620 hasPublicationYear "2018" @default.
- W2883144620 type Work @default.
- W2883144620 sameAs 2883144620 @default.
- W2883144620 citedByCount "0" @default.
- W2883144620 crossrefType "posted-content" @default.
- W2883144620 hasAuthorship W2883144620A5009547692 @default.
- W2883144620 hasConcept C102966492 @default.
- W2883144620 hasConcept C114614502 @default.
- W2883144620 hasConcept C134306372 @default.
- W2883144620 hasConcept C138885662 @default.
- W2883144620 hasConcept C151201525 @default.
- W2883144620 hasConcept C191399826 @default.
- W2883144620 hasConcept C194198291 @default.
- W2883144620 hasConcept C199360897 @default.
- W2883144620 hasConcept C206530611 @default.
- W2883144620 hasConcept C2776174256 @default.
- W2883144620 hasConcept C2778572836 @default.
- W2883144620 hasConcept C33676613 @default.
- W2883144620 hasConcept C33923547 @default.
- W2883144620 hasConcept C41008148 @default.
- W2883144620 hasConcept C41895202 @default.
- W2883144620 hasConcept C73225184 @default.
- W2883144620 hasConceptScore W2883144620C102966492 @default.
- W2883144620 hasConceptScore W2883144620C114614502 @default.
- W2883144620 hasConceptScore W2883144620C134306372 @default.
- W2883144620 hasConceptScore W2883144620C138885662 @default.
- W2883144620 hasConceptScore W2883144620C151201525 @default.
- W2883144620 hasConceptScore W2883144620C191399826 @default.
- W2883144620 hasConceptScore W2883144620C194198291 @default.
- W2883144620 hasConceptScore W2883144620C199360897 @default.
- W2883144620 hasConceptScore W2883144620C206530611 @default.
- W2883144620 hasConceptScore W2883144620C2776174256 @default.
- W2883144620 hasConceptScore W2883144620C2778572836 @default.
- W2883144620 hasConceptScore W2883144620C33676613 @default.
- W2883144620 hasConceptScore W2883144620C33923547 @default.
- W2883144620 hasConceptScore W2883144620C41008148 @default.
- W2883144620 hasConceptScore W2883144620C41895202 @default.
- W2883144620 hasConceptScore W2883144620C73225184 @default.
- W2883144620 hasLocation W28831446201 @default.
- W2883144620 hasOpenAccess W2883144620 @default.
- W2883144620 hasPrimaryLocation W28831446201 @default.
- W2883144620 hasRelatedWork W1985517542 @default.
- W2883144620 hasRelatedWork W2014291516 @default.
- W2883144620 hasRelatedWork W2047803154 @default.
- W2883144620 hasRelatedWork W2341875600 @default.
- W2883144620 hasRelatedWork W2592490090 @default.
- W2883144620 hasRelatedWork W2771177459 @default.
- W2883144620 hasRelatedWork W2799977874 @default.
- W2883144620 hasRelatedWork W2904534303 @default.
- W2883144620 hasRelatedWork W2906384475 @default.
- W2883144620 hasRelatedWork W2907616299 @default.
- W2883144620 hasRelatedWork W2937044551 @default.
- W2883144620 hasRelatedWork W2951011656 @default.
- W2883144620 hasRelatedWork W2963208688 @default.
- W2883144620 hasRelatedWork W3011781744 @default.
- W2883144620 hasRelatedWork W3040930688 @default.
- W2883144620 hasRelatedWork W3098750109 @default.
- W2883144620 hasRelatedWork W3111765822 @default.
- W2883144620 hasRelatedWork W3207990608 @default.
- W2883144620 hasRelatedWork W3210889974 @default.
- W2883144620 hasRelatedWork W3211042249 @default.
- W2883144620 isParatext "false" @default.
- W2883144620 isRetracted "false" @default.
- W2883144620 magId "2883144620" @default.
- W2883144620 workType "article" @default.