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Solution of the dimer problem on the three-dimensional Sierpinski gasket
May 22, 2025, 10:00-11:00
Abstract
图的 dimer 问题是统计物理学家计算可解模型的热门研究对象, 与此相关的计数研究是组合学家十分关心的问题, 但解此问题很难,其中还有很多尚未解决的问题。报告首先将简单介绍此问题的一些经典结果,然后介绍我们最近得到的3维Sierpinski gasket的dimer问题的解公式。