We study the two-dimensional continued fraction algorithm introduced in Garrity (J Number
Theory 88 (1): 86–103, 2001) and the associated triangle map T, defined on a …

In this note, we explore certain determinantal descriptions of the Robbins numbers.
Techniques used for this include continued fractions, Riordan arrays and series inversion …

The Minkowski question mark function?:[0, 1]→[0, 1] is a continuous, strictly increasing, one-
to-one and onto function that has derivative zero almost everywhere. Key to these facts are …

This paper is a direct continuation of" Functional analysis behind a Family of
Multidimensional Continued Fractions: Part I," in which we started the exploration of the …

Triangle partition maps form a family that includes many, if not most, well-known
multidimensional continued fraction algorithms. This paper begins the exploration of the …