3 papers
math.CO2026
Proof of a combinatorial conjecture posed in "The Blimpy Shape of Heady-s and Taily-s Bit Strings"
Bruce Levin
We demonstrate three properties conjectured to hold for a certain function by Levin (2025) in a study of the blimpy graphical shape of the number of bit strings with a given score…
math.CO2025
Note on a Coin Tossing Problem Posed by Daniel Litt
Bruce Levin
We present an analysis of a coin-tossing problem posed by Daniel Litt which has generated some popular interest. We demonstrate a recursive identity which leads to relatively simpl…
math.PR2024
The Game of Band or Bump
Bruce Levin
In this report we generalize the game of Book or Band described in Levin (2024) to an arbitrary playing deck with ranks and cards in each rank, for a total of cards.…