3 papers
math.HO2019
It's Common Knowledge
Matvey Borodin, Aidan Duncan, Joshua Guo +7
We discuss some old common knowledge puzzles and introduce a lot of new common knowledge puzzles.
math.NT2019
Variants of Base 3 over 2
Matvey Borodin, Hannah Han, Kaylee Ji +8
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 s…
math.CO2018
Chip-Firing and Fractional Bases
Matvey Borodin, Hannah Han, Kaylee Ji +8
We study a particular chip-firing process on an infinite path graph. At any time when there are at least chips at a vertex, chips fire to the left and chips fire to t…