3 papers
math.HO2020
Confirming the Labels of Coins in One Weighing
Isha Agarwal, Paul Braverman, Patrick Chen +10
There are bags with coins that look the same. Each bag has an infinite number of coins and all coins in the same bag weigh the same amount. Coins in different bags weigh 1, 2,…
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…