Scholarlink

<p>In this paper, we consider the discrete membrane model in four dimensions. We confirm the existence of the scaling limit of the intermediate (i.e., a multiple of the expected maximum) level-sets of the model, and show that it is equal in law to a tilted version of the sub-critical Gaussian multiplicative chaos (GMC) measure of the continuum membrane model.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Intermediate Level-sets of the Four-dimensional Membrane Model

  • 期刊论文

  • 发表日期：

    2026年6月15日

查看全文
  • Xinyi Li,
  • Runsheng Liu

摘要

In this paper, we consider the discrete membrane model in four dimensions. We confirm the existence of the scaling limit of the intermediate (i.e., a multiple of the expected maximum) level-sets of the model, and show that it is equal in law to a tilted version of the sub-critical Gaussian multiplicative chaos (GMC) measure of the continuum membrane model.