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math.CO2025
Dimensions of compositions modulo a prime
Jia Huang
The (ordinary) representation theory of the symmetric group is fascinating and has rich connections to combinatorics, including the Frobenius correspondence to the self-dual graded…
math.CO2025
A coin flip game and generalizations of Fibonacci numbers
Jia Huang
We study a game in which one keeps flipping a coin until a given finite string of heads and tails occurs. We find the expected number of coin flips to end the game when the ending…