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math.ST2026
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.…
math.ST2026
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 \(Ï^2\), and finite fourth mome…
math.ST2026
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,…