2 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
Spontaneous synchronisation and exceptional points in breather complex
WenchaoWang, ZhifanFang, Tianhao Xian +2
We experimentally demonstrate the spontaneous synchronization and the exceptional point (EP) induced pulse generation mechanism in the breather complex. The breathing frequency and…
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…
Dispersive temporal holography for single-shot recovering comprehensive ultrafast dynamics
Wenchao Wang, Tianhao Xian, Li Zhan
It is critical to characterize the carrier and instantaneous frequency distribution variation in ultrafast processes, all of which are determined by the optical phase. Nevertheless…
Quasi-invariance of fractional Gaussian fields nonlinear wave equation with polynomial nonlinearity
Philippe Sosoe, William J. Trenberth, Tianhao Xian
We prove quasi-invariance of Gaussian measures with Cameron-Martin space under the flow of the defocusing nonlinear wave equation with polynomial nonlinearities of any…