1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
Phase Transitions for Sparse Random Sets Under Linear Forms
Ryan Jeong, Steven J. Miller
Let be a random set in which each element is included independently with probability . Fix an integer and a linear form $$L(x_1,\do…
Combinatorial and Additive Number Theory Problem Sessions: '09--'25
Steven J. Miller
These notes are a summary of the problem session discussions at various CANT (Combinatorial and Additive Number Theory Conferences). Currently they include all years from 2009 thro…
Benford's Law and Continuous Dependent Random Variables
Thealexa Becker, Alec Greaves-Tunnell, Steven J. Miller +2
Many systems exhibit a digit bias. For example, the first digit base 10 of the Fibonacci numbers, or of , equals 1 not 10% or 11% of the time, as one would expect if all digit…