Math @ Duke

Publications [#325466] of Matthew S Junge
Papers Published
 Junge, M, Choices, intervals and equidistribution,
Electronic Journal of Probability, vol. 20
(September, 2015),
pp. 118, Institute of Mathematical Statistics [doi]
(last updated on 2019/08/07)
Abstract: © 2015, University of Washington. All right reserved. We give a sufficient condition for a random sequence in [0,1] generated by a Ψ process to be equidistributed. The condition is met by the canonical example – the max2 process – where the nth term is whichever of two uniformly placed points falls in the larger gap formed by the previous n — 1 points. This solves an open problem from Itai Benjamini, Pascal Maillard and Elliot Paquette. We also deduce equidistribution for more general Ψprocesses. This includes an interpolation of the min2 and max2 processes that is biased towards min2.


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