| Title:
|
A survey of results on density modulo $1$ of double sequences containing algebraic numbers (English) |
| Author:
|
Urban, Roman |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
16 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
31-43 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results. (English) |
| Keyword:
|
Algebraic numbers |
| Keyword:
|
density modulo $1$ |
| Keyword:
|
uniformly distributed sequences |
| Keyword:
|
topological dynamics |
| Keyword:
|
semigroups of endomorphisms |
| Keyword:
|
ID-semigroup |
| Keyword:
|
invariant sets |
| Keyword:
|
$a$-adic solenoids |
| MSC:
|
11-02 |
| MSC:
|
11J71 |
| MSC:
|
37A45 |
| MSC:
|
54H15 |
| MSC:
|
54H20 |
| idZBL:
|
Zbl 1231.11078 |
| idMR:
|
MR2498635 |
| . |
| Date available:
|
2009-12-29T09:23:56Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137499 |
| . |
| Reference:
|
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| . |
