- Tytuł:
- Reading along arithmetic progressions
- Autorzy:
- Downarowicz, T.
- Powiązania:
- https://bibliotekanauki.pl/articles/965875.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Szemeredi Theorem
Morse sequence
Toeplitz sequence - Opis:
- Given a 0-1 sequence x in which both letters occur with density 1/2, do there exist arbitrarily long arithmetic progressions along which x reads 010101...? We answer the above negatively by showing that a certain regular triadic Toeplitz sequence does not have this property. On the other hand, we prove that if x is a generalized binary Morse sequence then each block can be read in x along some arithmetic progression.
- Źródło:
-
Colloquium Mathematicum; 1999, 80, 2; 293-296
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł