9 citations · 12 across the 4 of their papers we have counts for
4 papers
Universal finitary codes with exponential tails
Nate Harvey, Alexander E. Holroyd, Yuval Peres +1
In 1977, Keane and Smorodinsky showed that there exists a finitary homomorphism from any finite-alphabet Bernoulli process to any other finite-alphabet Bernoulli process of strictl…
The dynamics of Pythagorean triples
Dan Romik
We construct a piecewise onto 3-to-1 dynamical system on the positive quadrant of the unit circle, such that for rational points (which correspond to normalized Primitive Pythagore…
Random walks with -wise independent increments
Itai Benjamini, Gady Kozma, Dan Romik
We construct examples of a random walk with pairwise-independent steps which is almost-surely bounded, and for any and a random walk with -wise independent steps which h…
Limit shapes for random square Young tableaux and plane partitions
Boris Pittel, Dan Romik
Our main result is a limit shape theorem for the two-dimensional surface defined by a uniform random n-by-n square Young tableau. The analysis leads to a calculus of variations min…