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<p>Spatial permutations are important tools for studying Bose-Einstein condensation and in statistical physics in general. It is pretty easy to sample them, however getting the convergence speed is not known for now. Here we give a bound for a kind of spatial permutation which is close to the one which is usually studied. The convergence speed is polynomial in the grid size provided that the temperature is of the same order of magnitude of the size.</p>

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Spatial Permutations Sampling Convergence Speed

  • 期刊论文

  • 发表日期：

    2025年1月10日

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  • Nicolas Wicker

摘要

Spatial permutations are important tools for studying Bose-Einstein condensation and in statistical physics in general. It is pretty easy to sample them, however getting the convergence speed is not known for now. Here we give a bound for a kind of spatial permutation which is close to the one which is usually studied. The convergence speed is polynomial in the grid size provided that the temperature is of the same order of magnitude of the size.