Johann Thiel

activity

20142021

most citedThe (u,v)-Calkin-Wilf Forest

9 citations · 12 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.NT2018★ 1 cited

Mean Row Values in $(u, v)$ -Calkin-Wilf Trees

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

We fix integers $u, v \geq 1$ , and consider an infinite binary tree $T^{(u, v)} (z)$ with a root node whose value is a positive rational number $z$ . For every vertex $a / b$ ,…

math.NT2017

Maximal entries of elements in certain matrix monoids

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

Let $L_{u} = [1 u 01]$ and $R_{v} = [10 v 1]$ be matrices in $S L_{2} (Z)$ with $u, v \geq 1$ . Since the monoid generated…

math.NT2015★ 1 cited

Orphans in Forests of Linear Fractional Transformations

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

This paper studies the set of orphans in certain Calkin-Wilf trees generated by linear fractional transformations.

math.NT2014★ 9 cited

The (u,v)-Calkin-Wilf Forest

Sandie Han, Ariane M. Masuda, Satyanand Singh +1

In this paper we consider a refinement, due to Nathanson, of the Calkin-Wilf tree. In particular, we study the properties of such trees associated with the matrices $L_u=\begin{bma…

Mean Row Values in (u,v)-Calkin-Wilf Trees

Maximal entries of elements in certain matrix monoids

Orphans in Forests of Linear Fractional Transformations

The (u,v)-Calkin-Wilf Forest

Mean Row Values in $(u, v)$ -Calkin-Wilf Trees