A survey of results on density modulo 1 of double sequences containing algebraic numbers

Roman Urban

Acta Mathematica Universitatis Ostraviensis (2008)

  • Volume: 16, Issue: 1, page 31-43
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Urban, Roman. "A survey of results on density modulo $1$ of double sequences containing algebraic numbers." Acta Mathematica Universitatis Ostraviensis 16.1 (2008): 31-43. <http://eudml.org/doc/35174>.

@article{Urban2008,
abstract = {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.},
author = {Urban, Roman},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {Algebraic numbers; density modulo $1$; uniformly distributed sequences; topological dynamics; semigroups of endomorphisms; ID-semigroup; invariant sets; $a$-adic solenoids; Algebraic numbers; density modulo 1; uniformly distributed sequences; topological dynamics; semigroups of endomorphisms; ID-semigroup; invariant sets; -adic solenoids},
language = {eng},
number = {1},
pages = {31-43},
publisher = {University of Ostrava},
title = {A survey of results on density modulo $1$ of double sequences containing algebraic numbers},
url = {http://eudml.org/doc/35174},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Urban, Roman
TI - A survey of results on density modulo $1$ of double sequences containing algebraic numbers
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2008
PB - University of Ostrava
VL - 16
IS - 1
SP - 31
EP - 43
AB - 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.
LA - eng
KW - Algebraic numbers; density modulo $1$; uniformly distributed sequences; topological dynamics; semigroups of endomorphisms; ID-semigroup; invariant sets; $a$-adic solenoids; Algebraic numbers; density modulo 1; uniformly distributed sequences; topological dynamics; semigroups of endomorphisms; ID-semigroup; invariant sets; -adic solenoids
UR - http://eudml.org/doc/35174
ER -

References

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