9 citations · 9 across the 10 of their papers we have counts for
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Fourth-Moment Strong Universality for Finite-Type Transpose-Correlated Random Matrices
Yanjin Xiang, Zhihua Zhang
We prove a strong-universality theorem at the exact fourth-moment threshold for finite families of non-Hermitian random matrices assembled from independent unordered-pair vector at…
Poincaré's Inequality on Sliding-Window Occupation Count Kernels and the Optimal Normalized Spectral-Gap Constant
Yanjin Xiang, Zhihua Zhang
Let be an irreducible reversible Markov kernel on an -state space , and denote its right spectral gap by $\Gap(P) =1-λ_2(P)$. From a stationary trajectory, let be t…
Conditionally Resampled Sliding-Window Count Kernels: Spectral-Gap Bounds and Poincaré Inequalities
Yanjin Xiang, Yuchen Xin, Zhihua Zhang
We study the conditionally resampled sliding-window count kernel associated with the empirical counts of length- windows from a stationary finite-state reversible Markov chain.…
Universality for Products of Random Matrices with i.i.d. Entries and the Fuss--Catalan Number
Yanjin Xiang, Kun Chen, Zhihua Zhang
Let \((w_{ij})_{i,j\ge1}\) be a single infinite array of independent identically distributed real- or complex-valued entries of mean zero, variance \(σ^2\), and finite fourth momen…
Universality of General Spiked Tensor Models
Yanjin Xiang, Zhihua Zhang
We study asymmetric rank-one spiked tensor models in the high-dimensional regime, where the noise entries are independent and identically distributed with zero mean, unit variance,…