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A. A. Sahakyan
Researcher at Yerevan State University
Publications - 16
Citations - 87
A. A. Sahakyan is an academic researcher from Yerevan State University. The author has contributed to research in topics: Toeplitz matrix & Trace (linear algebra). The author has an hindex of 5, co-authored 16 publications receiving 76 citations.
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On the Central Limit Theorem for Toeplitz Quadratic Forms of Stationary Sequences
TL;DR: In this paper, the authors considered the question of applicability of the central limit theorem for a Toeplitz-type quadratic form of a Gaussian sequence with an integrable even function and showed that it is not valid under the single condition that the asymptotic variance is separated from zero and infinity.
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The trace problem for Toeplitz matrices and operators and its impact in probability
TL;DR: The trace approximation problem for Toeplitz matrices and its applications to stationary processes dates back to the classic book by Grenander and Szego as discussed by the authors, which describes applications to discrete-and continuous-time stationary processes.
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On the trace approximations of products of Toeplitz matrices
TL;DR: In this paper, error orders for integral limit approximations to the traces of products of Toeplitz matrices generated by integrable real symmetric functions defined on the unit circle are established.
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The Trace Problem for Toeplitz Matrices and Operators and its Impact in Probability
TL;DR: This paper provides a survey and unified treatment of the trace approximation problem both for Toeplitz matrices and for operators and describes applications to discrete- and continuous-time stationary processes.
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Trace Approximations of Products of Truncated Toeplitz Operators
TL;DR: In this paper, an explicit second-order asymptotic expansion is found for the trace of a product of two truncated Toeplitz operators generated by the spectral densities of continuous-time stationary fractional Riesz-Bessel motions.