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math.PR2026
On the distortion of random triangulations
Jason Miller, Julian Ransford, Fredy Yip
For each , let be a uniformly random (rooted, Type I) triangulation of the sphere with vertices, viewed as a metric space equipped with its graph distan…
math.PR2023
Universality of directed polymers in the intermediate disorder regime
Julian Ransford
In 2018, Krishnan and Quastel showed that the fluctuations of Seppäläinen's log-gamma polymer converge in law to the Tracy--Widom GUE distribution in the intermediate disorder regi…