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math.PR2019
Feller coupling of cycles and Poisson spacings
Joseph Najnudel, Jim Pitman
Feller (1945) provided a coupling between the counts of cycles of various sizes in a uniform random permutation of and the spacings between successes in a sequence of ind…
math.PR2019
Bounds on the probability of radically different opinions
Krzysztof Burdzy, Jim Pitman
We establish bounds on the probability that two different agents, who share an initial opinion expressed as a probability distribution on an abstract probability space, given two d…