The critical continuum polymer measures on the dimension-two diamond fractal are shown to satisfy a conditional Gaussian multiplicative chaos relation: M_{r+a} equals in law a subcritical GMC over M_r.
Junnila: Contributions to the theory of multiplicative chaos , Doctoral Dissertation (2018)
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The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal
The critical continuum polymer measures on the dimension-two diamond fractal are shown to satisfy a conditional Gaussian multiplicative chaos relation: M_{r+a} equals in law a subcritical GMC over M_r.