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math.PR2025
Edge homogenization of Dyson Brownian motion and applications
Benjamin Landon, Tianhao Xian
We prove a homogenization result for the difference of two coupled Dyson Brownian motions started from generalized Wigner matrix initial data. We prove an optimal order, high proba…
math.PR2022★ 2 cited
Optimal mass normalizability for Gibbs measure associated with NLS on the 2D disc
Tianhao Xian
We prove the normalizability of Gibbs measure associated with radial focusing nonlinear Schrödinger equation (NLS) on the 2-dimensional disc , at critical mass threshol…