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30 papers · 1 filter
Random Fibonacci Words via Clone Schur Functions
Leonid Petrov, Jeanne Scott
We study positivity and probabilistic properties arising from the Young--Fibonacci lattice , a 1-differential poset on binary (Fibonacci) words of 1's and 2's, graded…
Limiting Empirical Spectral Distribution for Products of Rectangular Matrices
Yongcheng Qi, Hongru Zhao
In this paper, we consider independent random rectangular matrices whose entries are independent and identically distributed standard complex Gaussian random variables and assu…
Limiting Spectral Radii of Circular Unitary Matrices under Light Truncation
Yu Miao, Yongcheng Qi
Consider a truncated circular unitary matrix which is a by submatrix of an by circular unitary matrix after deleting the last columns and rows. Jiang an…
Limiting behavior of largest entry of random tensor constructed by high-dimensional data
Tiefeng Jiang, Junshan Xie
Let , be a random sample of size coming from a -dimensional population. For a fixed integer , consider a hypercubic…
Uniformly Efficient Simulation for Extremes of Gaussian Random Fields
Xiaoou Li, Gongjun Xu
This paper considers the problem of simultaneously estimating rare-event probabilities for a class of Gaussian random fields. A conventional rare-event simulation method is usually…
Temperature chaos in some spherical mixed -spin models
Wei-Kuo Chen, Dmitry Panchenko
We give two types of examples of the spherical mixed even--spin models for which chaos in temperature holds. These complement some known results for the spherical pure -spin…