L773:0026 9255 OR L773:1436 5081
Sökning: L773:0026 9255 OR L773:1436 5081 > Simultaneously non-...
LIBRIS Formathandbok (Information om MARC21)
| Fältnamn | Indikatorer | Metadata |
|---|---|---|
| 000 | 02483naa a2200349 4500 | |
| 001 | oai:lup.lub.lu.se:42afd002-5a82-4581-bf7c-9991b7348a98 | |
| 003 | SwePub | |
| 008 | 160401s2011 | |||||||||||000 ||eng| | |
| 024 | 7 | a https://lup.lub.lu.se/record/19252042 URI |
| 024 | 7 | a https://doi.org/10.1007/s00605-009-0183-22 DOI |
| 040 | a (SwePub)lu | |
| 041 | a engb eng | |
| 042 | 9 SwePub | |
| 072 | 7 | a art2 swepub-publicationtype |
| 072 | 7 | a ref2 swepub-contenttype |
| 100 | 1 | a Färm, Davidu Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH4 aut0 (Swepub:lu)math-dvf |
| 245 | 1 0 | a Simultaneously non-convergent frequencies of words in different expansions |
| 264 | c 2009-12-24 | |
| 264 | 1 | b Springer Science and Business Media LLC,c 2011 |
| 520 | a We consider expanding maps such that the unit interval can be represented as a full symbolic shift space with bounded distortion. There are already theorems about the Hausdorff dimension for sets defined by the set of accumulation points for the frequencies of words in one symbolic space at a time. We show that the dimension is preserved when such sets defined using different maps are intersected. More precisely, it is proven that the dimension of any countable intersection of sets defined by their sets of accumulation for frequencies of words in different expansions, has dimension equal to the infimum of the dimensions of the sets that are intersected. As a consequence, the set of numbers for which the frequencies do not exist has full dimension even after countable intersections. We also prove that this holds for a dense set of non-integer base expansions. | |
| 650 | 7 | a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng |
| 653 | a Interval map | |
| 653 | a Non-typical point | |
| 653 | a Hausdorff dimension | |
| 653 | a Beta shift | |
| 710 | 2 | a Matematik LTHb Matematikcentrum4 org |
| 773 | 0 | t Monatshefte für Mathematikd : Springer Science and Business Media LLCg 162:4, s. 409-427q 162:4<409-427x 0026-9255x 1436-5081 |
| 856 | 4 | u http://dx.doi.org/10.1007/s00605-009-0183-2y FULLTEXT |
| 856 | 4 | u http://arxiv.org/pdf/0904.4370 |
| 856 | 4 8 | u https://lup.lub.lu.se/record/1925204 |
| 856 | 4 8 | u https://doi.org/10.1007/s00605-009-0183-2 |
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