Stewart Ethier, Professor Emeritus (retired)

Department of Mathematics, University of Utah, 155 S. 1400 E., JWB 233, Salt Lake City, UT 84112, USA.
ethier@math.utah.edu.
801-581-6851 (dept. office, JWB 233), 801-581-4148 (dept. fax).

Recent work (arXived):

Limit theorems for Parrondo's paradox with Jiyeon Lee. Electronic Journal of Probability 14 (2009) 1827-1862.
A Markovian slot machine and Parrondo's paradox with Jiyeon Lee. Annals of Applied Probability 20 (2010) 1098-1125.
A world record in Atlantic City and the length of the shooter's hand at craps with Fred M. Hoppe. Mathematical Intelligencer 32 (2010) (4) 44-48.
A discrete dynamical system for the greedy strategy at collective Parrondo games with Jiyeon Lee. Dynamical Systems 26 (2011) 401-424.
Parrondo's paradox via redistribution of wealth with Jiyeon Lee. Electronic Journal of Probability 17 (2012) (20) 1-21.
Parrondo games with spatial dependence with Jiyeon Lee. Fluctuation and Noise Letters 11 (2012) (1250004) 1-22.
Parrondo games with spatial dependence, II with Jiyeon Lee. Fluctuation and Noise Letters 11 (2012) (1250030) 1-18.
Counting toroidal binary arrays. Journal of Integer Sequences 16 (2013) (13.4.7) 1-8.
Parrondo games with spatial dependence and a related spin system with Jiyeon Lee. Markov Processes and Related Fields 19 (2013) 163-194.
Parrondo games with spatial dependence and a related spin system, II with Jiyeon Lee. Markov Processes and Related Fields 19 (2013) 667-692.
A game-theoretic analysis of baccara chemin de fer with Carlos Gamez. Games 4 (2013) 711-737.
A property of Petrov's diffusion. Electronic Communications in Probability 19 (2014) (65) 1-4.
On the three-person game baccara banque with Jiyeon Lee. Games 6 (2015) 57-78.
Counting toroidal binary arrays, II with Jiyeon Lee. Journal of Integer Sequences 18 (2015) (15.8.3) 1-12.
The evolution of the game of baccarat with Jiyeon Lee. Journal of Gambling Business and Economics 9 (2015) (2) 1-13.
Parrondo games with spatial dependence, III with Jiyeon Lee. Fluctuation and Noise Letters 14 (2015) (1550039) 1-20.
Parrondo games with two-dimensional spatial dependence with Jiyeon Lee. Fluctuation and Noise Letters 16 (2017) (1750005) 1-23.
Wright-Fisher construction of the two-parameter Poisson-Dirichlet diffusion with C. Costantini, P. De Blasi, M. Ruggiero, and D. Spano. Annals of Applied Probability 27 (2017), 1923-1950.
The flashing Brownian ratchet and Parrondo's paradox with Jiyeon Lee. Royal Society Open Science 5 (2018) (171685) 1-13.
The tilted flashing Brownian ratchet with Jiyeon Lee. Fluctuation and Noise Letters 18 (2019), to appear.
Optimal conditional expectation at the video poker game Jacks or Better with John Jungtae Kim and Jiyeon Lee.

Books:

Markov Processes: Characterization and Convergence with Thomas G. Kurtz (paperback edition), 2005. Wiley.
Optimal Play: Mathematical Studies of Games and Gambling (edited with William R. Eadington), 2007. Institute for the Study of Gambling and Commercial Gaming.
Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz (edited with Jin Feng and Richard H. Stockbridge), 2008. Institute of Mathematical Statistics.
The Doctrine of Chances: Probabilistic Aspects of Gambling, 2010. Springer.

CV: Download here. Updated Oct. 2018.

An incomplete list of my mathematical ancestors (see Mathematics Genealogy Project for the full list):

T. G. Kurtz, J. L. McGregor, H. F. Bohnenblust, E. C. Hille, M. Riesz, L. Fejer, H. A. Schwarz, E. E. Kummer and K. T. W. Weierstrass, H. F. Scherk, F. W. Bessel and H. W. Brandes, C. F. Gauss.

Personal: My dog, Cauchy (2003--2016), trying to comprehend Cauchy's theorem in complex analysis. (Photo motivated by Far Side cartoon.) Cauchy was a Cavalier King Charles Spaniel.