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math.PR2022
On the rate of convergence of the shape of Young diagrams associated with random words
Clément Deslandes, Christian Houdré
We revisit, beyond the uniform case, some aspects of the convergence of the cumulative shape of the RSK Young diagrams associated with random words, obtaining rates of convergence…
math.PR2022
Fluctuation bounds for first-passage percolation on the square, tube, and torus
Michael Damron, Christian Houdré, Alperen Özdemir
In first-passage percolation, one assigns i.i.d. nonnegative weights to the edges of and studies the induced distance (passage time) between vertice…