arXiv subjects

Alexander Peng

Publications and source records attributed to Alexander Peng.

2 recordsLinked to original sources

arXiv2019

Variants of Base 3 over 2

We discuss two different systems of number representations that both can be called 'base 3/2'. We explain how they are connected. Unlike classical fractional extension, these two systems provide a finite representation for integers. We also discuss a connection between these systems and 3-free sequences.

math.NT↗

arXiv2018

Chip-Firing and Fractional Bases

We study a particular chip-firing process on an infinite path graph. At any time when there are at least $a+b$ chips at a vertex, $a$ chips fire to the left and $b$ chips fire to the right. We describe the final state of this process when we start with $n$ chips at the origin.

math.CO↗