13 papers
Flippered hyperbolic surfaces and renormalized volumes of their moduli spaces I
Yi Huang, Ivan Telpukhovskiy
We introduce a natural class of hyperbolic surfaces called flippered surfaces that generalize crowned hyperbolic surfaces (i.e.: worldsheets for open strings). We develop their Tei…
On Brezis Open Problem 3.1
Qi Guo, Xueping Huang, Yi C. Huang +2
Let be the unit disk in . We consider the harmonic map equation subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,…
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…
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.
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…
On a pointwise inequality for even Legendre polynomials in high dimensional spheres
Shirong Chen, Yi C. Huang, Jian-Yang Zhang
We present a pointwise inequality for adjacent even Legendre polynomials in high dimensional spheres featuring the effect of spectral gaps. This improves a recent result of Imbert,…
A one-line proof of a minimax theorem (for a notion of curvature on finite graphs)
Yi C. Huang
A one-line proof of a minimax theorem due to Steinerberger is given.
Refined diameter bounds under curvature dimension conditions
Yi C. Huang, Ze Yang
In this article we derive an explicit diameter bound for graphs satisfying the so-called curvature dimension conditions . This refines a recent result due to Liu, Münch an…
Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space
Yi C. Huang, Jian-Yang Zhang
In this paper we extend Galbis' elegant norm bounds for self-adjoint Toeplitz operators on the Fock space to bounded and integrable symbols which are non-radial. The main ingredien…
A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs
Yi C. Huang
We provide in this Letter a two-point generalisation of the Agmon estimate for Schrödinger operators on graphs recently established by S. Steinerberger. It reduces to his estimate…
On noncommutative Hölder inequality of Sukochev and Zanin for weak Schatten class
Yi C. Huang, Sijie Luo
Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in Hölder inequality for the weak Schatten classes of compact operators. In this note we ob…
On Galbis' integration lemmas
Yi C. Huang, Fei Xue
We simplify in this note Galbis' proof of certain norm estimates for self-adjoint Toeplitz operators on the Fock space. This relies on an extension (and a unification) of his integ…
Maximal regularity under quadratic estimates
Yi C. Huang
In this Short Note we complement the intriguing harmonic analytic perspective due to P. Auscher and A. Axelsson for the abstract evolution equations. This concerns a unified approa…