1 citations · 1 across the 5 of their papers we have counts for
5 papers
Snackjack: A toy model of blackjack
Stewart N. Ethier, Jiyeon Lee
Snackjack is a highly simplified version of blackjack that was proposed by Ethier (2010) and given its name by Epstein (2013). The eight-card deck comprises two aces, two deuces, a…
The flashing Brownian ratchet and Parrondo's paradox
S. N. Ethier, Jiyeon Lee
A Brownian ratchet is a one-dimensional diffusion process that drifts toward a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that al…
Counting toroidal binary arrays, II
S. N. Ethier, Jiyeon Lee
We derive formulas for the number of toroidal binary arrays, allowing rotation of rows and/or columns as well as matrix transposition, and the number of to…
Parrondo games with spatial dependence, II
S. N. Ethier, Jiyeon Lee
Let game B be Toral's cooperative Parrondo game with (one-dimensional) spatial dependence, parameterized by N (3 or more) and p_0, p_1, p_2, p_3 in [0,1], and let game A be the spe…
Limit theorems for Parrondo's paradox
S. N. Ethier, Jiyeon Lee
That there exist two losing games that can be combined, either by random mixture or by nonrandom alternation, to form a winning game is known as Parrondo's paradox. We establish a…