Arithmetic diophantine approximation for continued fractions-like maps on the interval

Avraham Bourla. "Arithmetic diophantine approximation for continued fractions-like maps on the interval." Acta Arithmetica 164.1 (2014): 1-23. <http://eudml.org/doc/279065>.

@article{AvrahamBourla2014,
abstract = {We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Möbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fraction expansions.},
author = {Avraham Bourla},
journal = {Acta Arithmetica},
keywords = {diophantine approximation; continued fraction; ergodic theory},
language = {eng},
number = {1},
pages = {1-23},
title = {Arithmetic diophantine approximation for continued fractions-like maps on the interval},
url = {http://eudml.org/doc/279065},
volume = {164},
year = {2014},
}

TY - JOUR
AU - Avraham Bourla
TI - Arithmetic diophantine approximation for continued fractions-like maps on the interval
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 1
SP - 1
EP - 23
AB - We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Möbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fraction expansions.
LA - eng
KW - diophantine approximation; continued fraction; ergodic theory
UR - http://eudml.org/doc/279065
ER -