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pro vyhledávání: '"Ethier, S. N."'
Autor:
Ethier, S. N., Lee, Jiyeon
Parrondo's coin-tossing games comprise two games, $A$ and $B$. The result of game $A$ is determined by the toss of a fair coin. The result of game $B$ is determined by the toss of a $p_0$-coin if capital is a multiple of $r$, and by the toss of a $p_
Externí odkaz:
http://arxiv.org/abs/2001.00291
Autor:
Ethier, S. N., Lee, Jiyeon
Publikováno v:
Journal of Applied Probability, 56 (2019) 1198-1216
If the parameters of the original Parrondo games $A$ and $B$ are allowed to be arbitrary, subject to a fairness constraint, and if the two (fair) games $A$ and $B$ are played in an arbitrary periodic sequence, then the rate of profit can not only be
Externí odkaz:
http://arxiv.org/abs/1901.08257
Autor:
Ethier, S. N., Lee, Jiyeon
Publikováno v:
Fluctuation and Noise Letters 18 (2019) 1950005
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-dimensional diffusion process that drifts towards a minimum of a periodic asym
Externí odkaz:
http://arxiv.org/abs/1807.06226
Autor:
Ethier, S. N., Lee, Jiyeon
Publikováno v:
Royal Society Open Science 5 (2018) 171685
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 alternates between two regimes, a one-dimensional Brownian motion and a
Externí odkaz:
http://arxiv.org/abs/1710.05295
Publikováno v:
UNLV Gaming Research & Review Journal, 23 (2019), 1--18
There are 134,459 distinct initial hands at the video poker game Jacks or Better, taking suit exchangeability into account. A computer program can determine the optimal strategy (i.e., which cards to hold) for each such hand, but a complete list of t
Externí odkaz:
http://arxiv.org/abs/1602.04171
Autor:
Ethier, S. N., Lee, Jiyeon
Parrondo games with one-dimensional spatial dependence were introduced by Toral and extended to the two-dimensional setting by Mihailovi\'c and Rajkovi\'c. $MN$ players are arranged in an $M\times N$ array. There are three games, the fair, spatially
Externí odkaz:
http://arxiv.org/abs/1510.06947
Autor:
Ethier, S. N., Lee, Jiyeon
We derive formulas for $(i)$ the number of toroidal $n\times n$ binary arrays, allowing rotation of rows and/or columns as well as matrix transposition, and $(ii)$ the number of toroidal $n\times n$ binary arrays, allowing rotation and/or reflection
Externí odkaz:
http://arxiv.org/abs/1502.03792
Autor:
Ethier, S. N., Lee, Jiyeon
Publikováno v:
Fluctuation and Noise Letters 14 (2015) 1550039
We study Toral's Parrondo games with $N$ players and one-dimensional spatial dependence as modified by Xie et al. Specifically, we use computer graphics to sketch the Parrondo and anti-Parrondo regions for $3\le N\le 9$. Our work was motivated by a r
Externí odkaz:
http://arxiv.org/abs/1412.7699
Autor:
Ethier, S. N., Lee, Jiyeon
Publikováno v:
Games 6 (2015) 57-78
Baccara banque is a three-person zero-sum game parameterized by $\theta\in(0,1)$. A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent
Externí odkaz:
http://arxiv.org/abs/1410.7052
Autor:
Ethier, S. N.
Publikováno v:
Electronic Communications in Probability, 19 (2014) (65) 1-4
Petrov constructed a diffusion process in the Kingman simplex whose unique stationary distribution is the two-parameter Poisson-Dirichlet distribution of Pitman and Yor. We show that the subset of the simplex comprising vectors whose coordinates do n
Externí odkaz:
http://arxiv.org/abs/1406.5198