Yueh-Sheng Hsu

collaborators

3 papers

math.PR2026

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

MÃ¡tÃ© GerencsÃ©r, 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 asymptotic of its bottom of spectrum

Yueh-Sheng Hsu

We present a simple construction of a random SchrÃ¶dinger operator subject to a magnetic field with a regularity as low as $0^{-}$ -HÃ¶lder and a Gaussian white noise electric potenti…

math.PR2025

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

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…

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

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

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

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 $R^{3}$