Sampling Biased Monotonic Surfaces using Exponential Metrics

COMBINATORICS PROBABILITY & COMPUTING, pp. 672-697, 2020.

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Abstract:

Monotonic surfaces spanning finite regions of DOUBLE-STRUCK CAPITAL Z(d)arise in many contexts, including DNA-based self-assembly, card-shuffling and lozenge tilings. One method that has been used to uniformly generate these surfaces is a Markov chain that iteratively adds or removes a single cube below the surface during a step. We consi...More

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