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- W2615668161 abstract "Let us color the vertices of the grid ℤ d or the infinite regular tree 𝕋 d , using a finite number of colors, with the constraint that some predefined pairs of colors are not allowed for adjacent vertices. The set of admissible colorings is called a nearest-neighbor subshift of finite type (SFT). We study “uniform” probability measures on SFT, with the motivation of having an insight into “typical” admissible configurations. We recall the known results on uniform measures on SFT on grids and we complete the picture by presenting some contributions to the description of uniform measures on SFT on 𝕋 d . Then we focus on the problem of uniform random sampling of configurations of SFT. We propose a first method based on probabilistic cellular automata, which is valid under some restrictive conditions. Then we concentrate on the case of SFT on ℤ for which we propose several alternative sampling methods." @default.
- W2615668161 created "2017-05-26" @default.
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- W2615668161 date "2017-04-01" @default.
- W2615668161 modified "2023-10-14" @default.
- W2615668161 title "Uniform Sampling of Subshifts of Finite Type on Grids and Trees" @default.
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- W2615668161 doi "https://doi.org/10.1142/s0129054117500174" @default.
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