Diophantine property in the group of affine transformations of the line
We investigate the Diophantine property of a pair of elements in the group of affine transformations of the line. We say tha t a pair of elements 71,72 in this group is Diophantine if there is a number A such tha t a product of length I of elements of the set {71,72, 7f 1 , jf 1 } is either the unit...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-757-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/34837 |
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| 008 | 161017s2014 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 024 | 7 | |a http://dx.doi.org/10.14232/actasm-013-757-6 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Varjú Péter P. | |
| 245 | 1 | 0 | |a Diophantine property in the group of affine transformations of the line |h [elektronikus dokumentum] / |c Varjú Péter P. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2014 | ||
| 300 | |a 447-458 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 80 No. 3-4 | |
| 520 | 3 | |a We investigate the Diophantine property of a pair of elements in the group of affine transformations of the line. We say tha t a pair of elements 71,72 in this group is Diophantine if there is a number A such tha t a product of length I of elements of the set {71,72, 7f 1 , jf 1 } is either the unit element or of distance at least A~l from the unit element. We prove tha t the set of non-Diophantine pairs in a certain one parameter family is of Hausdorff dimension 0. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/34837/1/math_080_numb_003_004_447-458.pdf |z Dokumentum-elérés |