Partition functions of large-degree networks
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The partition function is an important tool in the investigation of interacting systems in statistical physics, with high impact in the field of network science, combinatorics, and probability theory. In this project, I will investigate properties of partition functions related to various combinatorial objects by using a novel technique for networks with large maximum degree. A better understanding of the zero distributions is expected to shed new lights on the number of proper colorings of graphs, and on the properties and evaluations of partition functions of some statistical physical models.
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