标题： 新罕布什尔州自由州的自由选举：选区重划的集合分析 显示英文标题

标题： Free Elections in the Free State: Ensemble Analysis of Redistricting in New Hampshire

摘要： 立法重新划分选区的过程在新罕布什尔州，以及全国许多其他州，在2020年人口普查周期中尤为激烈。 在本文中，我们对通过的选区进行了集合分析，以提供关于这些地图在诉讼中提出的主张的数学背景。 将新罕布什尔州的重新划分规则具体化并算法生成大量选区计划，使我们能够构建该州选区计划的预期行为基准，并评估非党派合理性以及选区标准与党派结果之间的地理权衡。 此外，我们的结果展示了选择和汇总选举数据对分析党派对称性度量的影响。 显示英文摘要

摘要： The process of legislative redistricting in New Hampshire, along with many other states across the country, was particularly contentious during the 2020 census cycle. In this paper we present an ensemble analysis of the enacted districts to provide mathematical context for claims made about these maps in litigation. Operationalizing the New Hampshire redistricting rules and algorithmically generating a large collection of districting plans allows us to construct a baseline for expected behavior of districting plans in the state and evaluate non-partisan justifications and geographic tradeoffs between districting criteria and partisan outcomes. In addition, our results demonstrate the impact of selection and aggregation of election data for analyzing partisan symmetry measures.