Yueh-Sheng Hsu

activity

20212026

collaborators

5 papers

math.PR2026

The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation

Máté Gerencsér, Yueh-Sheng Hsu, Rhys Steele

One of the most common descriptions of solutions of singular SPDEs is their characterisation as the limit of solutions of renormalised smooth random PDEs. We quantify the speed of…

math.PR2026

Variance renormalisation in regularity structures -- the case of $2 d$ gPAM

Máté Gerencsér, Yueh-Sheng Hsu

We consider the variance renormalisation of a singular SPDE for which a Da Prato-Debussche trick is not applicable. The example taken is the $2$ -dimensional generalised parabolic A…

math.PR2025

Landau Hamiltonian with Gaussian white noise potential and the asymptotics of the bottom of its spectrum

Yueh-Sheng Hsu

We present a simple construction of a random Schrödinger operator subject to a magnetic field with a regularity as low as $0^{-}$ -Hölder and a Gaussian white noise electric potential…

math.PR2024

Construction and spectrum of the Anderson Hamiltonian with white noise potential on $R^{2}$ and $R^{3}$

Yueh-Sheng Hsu, Cyril Labbé

We propose a simple construction of the Anderson Hamiltonian with white noise potential on $R^{2}$ and $R^{3}$ based on the solution theory of the parabolic Anderson…

math.PR2021

Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in $d \leq 3$

Yueh-Sheng Hsu, Cyril Labbé

We consider the continuous Anderson Hamiltonian with white noise potential on $(- L /2, L /2)^{d}$ in dimension $d \leq 3$ , and derive the asymptotic of the smallest eigenvalues when $L$ g…

The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation

Variance renormalisation in regularity structures -- the case of 2d gPAM

Landau Hamiltonian with Gaussian white noise potential and the asymptotics of the bottom of its spectrum

Construction and spectrum of the Anderson Hamiltonian with white noise potential on R2 and R3

Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in d≤3

Variance renormalisation in regularity structures -- the case of $2 d$ gPAM

Construction and spectrum of the Anderson Hamiltonian with white noise potential on $R^{2}$ and $R^{3}$

Asymptotic of the smallest eigenvalues of the continuous Anderson Hamiltonian in $d \leq 3$