<p>We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.</p>

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A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades

  • Yichao Huang,
  • Youtao Liu

摘要

We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.