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math.PR2019★ 1 cited
The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal
Jeremy T. Clark
We discuss a Gaussian multiplicative chaos (GMC) structure underlying a family of random measures , indexed by , on a space of directed pathways c…
math-ph2019
Weak-disorder limit at criticality for directed polymers on hierarchical graphs
Jeremy Clark
We prove a distributional limit theorem conjectured in [Journal of Statistical Physics 174, No. 6, 1372-1403 (2019)] for partition functions defining models of directed polymers on…