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math.GT2025
Moduli spaces of open strings have polylogarithmic Mirzakhani volumes
Yi Huang, Ivan Telpukhovskiy
We show that the Mirzakhani volume, as introduced by Chekhov, of the moduli space of every crowned hyperbolic surface is naturally expressible as a sum of Gaussian rational multipl…
math.CA2025
Refined Qualitative Properties of Euclidean Heat Content
Yi C. Huang
Invoking a rather simple semigroup approach, we refine the recent qualitative properties of Euclidean heat content obtained by van den Berg and Gittins.
math.AP2025
On the Moutard transformation singularity for the Davey--Stewartson II equation
Yi C. Huang
We indicate explicitly how to obtain the Moutard transformation singularity for the Davey--Stewartson II equation with two indeterminancy points. We also justify an arbitrary order…