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- W1659094443 abstract "We discuss a Monte Carlo Markov Chain (MCMC) procedure for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We show that an approach inspired by optimal transport allows us to bound efficiently the mixing time of the associated Markov chain. The algorithm is robust and easy to implement, and samples an almost uniform path of length $n$ in $n^{3+eps}$ steps. This bound makes use of a certain contraction property of the Markov chain, and is also used to derive a bound for the running time of Propp-Wilson's CFTP algorithm." @default.
- W1659094443 created "2016-06-24" @default.
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- W1659094443 date "2010-02-05" @default.
- W1659094443 modified "2023-09-25" @default.
- W1659094443 title "Random sampling of lattice paths with constraints, via transportation" @default.
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