7 citations · 20 across the 18 of their papers we have counts for
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How strong can the Parrondo effect be? II
S. N. Ethier, Jiyeon Lee
Parrondo's coin-tossing games comprise two games, and . The result of game is determined by the toss of a fair coin. The result of game is determined by the toss of…
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…
How strong can the Parrondo effect be?
S. N. Ethier, Jiyeon Lee
If the parameters of the original Parrondo games and are allowed to be arbitrary, subject to a fairness constraint, and if the two (fair) games and are played in an…
The tilted flashing Brownian ratchet
S. N. Ethier, Jiyeon Lee
The flashing Brownian ratchet is a stochastic process that alternates between two regimes, a one-dimensional Brownian motion and a Brownian ratchet, the latter being a one-dimensio…
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…
Parrondo games with two-dimensional spatial dependence
S. N. Ethier, Jiyeon Lee
Parrondo games with one-dimensional spatial dependence were introduced by Toral and extended to the two-dimensional setting by Mihailović and Rajković. players are arranged in…