If an n x n stochastic matrix has a column with no zeros, one can immediately conclude that the chain is ergodic and the state corresponding to that column is persistent and aperiodic. In this paper ...

Denote by 𝒲₁ the set of complex valued functions of the form a(z)=∑i=−∞+∞aizi such that ∑i=−∞+∞|iai|<∞. We call 𝖰𝖳-matrix a quasi-Toeplitz matrix 𝐴, associated with a symbol 𝑎(𝑧) ∈ 𝒲₁, of the ...

Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...