On $q$-deformed real numbers
Quantum Algebra
2019-10-08 v3
Abstract
We associate a formal power series with integer coefficients to a positive real number, we interpret this series as a "-analogue of a real." The construction is based on the notion of -deformed rational number introduced in arXiv:1812.00170. Extending the construction to negative real numbers, we obtain certain Laurent series.
Keywords
Cite
@article{arxiv.1908.04365,
title = {On $q$-deformed real numbers},
author = {Sophie Morier-Genoud and Valentin Ovsienko},
journal= {arXiv preprint arXiv:1908.04365},
year = {2019}
}