Random matrices now play a role in many areas of theoretical, applied, and computational
mathematics. Therefore, it is desirable to have tools for studying random matrices that are …

Global navigation satellite systems (GNSS) have played an important role in commercial,
military and industrial navigation as well as cloud computing, geospatial analysis and digital …

Consider random symmetric Toeplitz matrices T_n=(a_ij)_i,j=1^n with matrix entries
a_j,j=0,1,2,⋯, being independent real random variables such that E a_ j= 0,\E| a_ j|^ 2 …

We investigate distribution of eigenvalues of growing size Toeplitz matrices [a n+ k− j] 1≤ j,
k≤ n as n→∞, when the entries {aj} are “smooth” in the sense, for example, that for some α> …

The spectral statistics of Hermitian random Toeplitz matrices with independent and
identically distributed elements are investigated numerically. It is found that eigenvalue …

In this manuscript, we study the limiting distribution for the joint law of the largest and the
smallest singular values for random circulant matrices with generating sequence given by …

We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is
absolutely continuous with density bounded by 8, partially answering a question of Bryc …

In this paper, we study two one-parameter families of random band Toeplitz matrices: where
(1) a0= 0,{a1, a2,…} in An (t) are independent random variables and ai= ai;(2) a0 (t)= 0,{a1 …

We consider random analytic functions given by a Taylor series with independent, centered
complex Gaussian coefficients. We give a new sufficient condition for such a function to have …

We consider rectangular N xn Toeplitz matrices generated by sequences of centered
independent random variables and provide bounds on their operator norm under the …