3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.HO2014★ 3 cited
Building Cantor's Bijection
Samuel Nicolay, Laurent Simons
Cantor's first idea to build a one-to-one mapping from the unit interval to the unit square did not work since, as pointed out by Dedekind, the so-obtained function is not surjecti…
math.FA2014
About the multifractal nature of Cantor's bijection
Samuel Nicolay, Laurent Simons
In this note, we investigate the regularity of Cantor's one-to-one mapping between the irrational numbers of the unit interval and the irrational numbers of the unit square. In par…
math.CA2014
About the Uniform Hölder Continuity of Generalized Riemann Function
F. Bastin, S. Nicolay, L. Simons
In this paper, we study the uniform Hölder continuity of the generalized Riemann function (with and ) defined by \[ R_{α,β}(x)=\sum_{n=1}^{+\infty}\frac{\sin(π…