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math.OC2024
Optimal Doubling Thresholds in Backgammon-like Stochastic Games
Haoru Ju, Daniel Leifer, Steven J. Miller +5
We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our vari…
math.NT2024
On the Within-perfect Numbers
Chung-Hang Kwan, Steven J. Miller
Motivated by the works of Erdös, Pomerance, Wolke and Harman on the sum-of-divisor function , we study the distribution of a special class of natural numbers closely related…