Conditional limiting distribution of beta-independent random vectors

Limiting distribution of decoherent quantum random walks

The behavior of one-dimensional quantum random walks is strikingly different from that of classical ones. However, when decoherence is involved, the limiting distributions take on many classical features over time. In this paper, we study the decoherence on both position and “coin” spaces of the particle. We propose an analytical approach to investigate these phenomena and obtain the generating...

Autoregressive Gaussian Random Vectors of First Order

Limiting Distributions for Sums of Independent Random Products

Let {Xi,j : (i, j) ∈ N } be a two-dimensional array of independent copies of a random variable X, and let {Nn}n∈N be a sequence of natural numbers such that limn→∞ e Nn = 1 for some c > 0. Our main object of interest is the sum of independent random products

Estimation of Spectral Measure of Stable Random Vectors

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The Limiting Distribution of Decoherent Quantum Random Walks

The behaviors of one-dimensional quantum random walks are strikingly different from those of classical ones. However, when decoherence is involved, the limiting distributions take on many classical features over time. In this paper, we study the decoherence on both position and “coin” spaces of the particle. We propose a new analytical approach to investigate these phenomena and obtain the gene...