25 citations · 25 across the 8 of their papers we have counts for
8 papers
Asymptotic behavior of the prediction error for stationary sequences
Nikolay M. Babayan, Mamikon S. Ginovyan
One of the main problem in prediction theory of discrete-time second-order stationary processes is to describe the asymptotic behavior of the best linear mean squared predic…
On asymptotic behavior of the prediction error for a class of deterministic stationary sequences
Nikolay M. Babayan, Mamikon S. Ginovyan
One of the main problem in prediction theory of stationary processes is to describe the asymptotic behavior of the best linear mean squared prediction error in predicting $X…
Statistical inference for stationary linear models with tapered data
Mamikon S. Ginovyan, Artur A. Sahakyan
In this paper, we survey some recent results on statistical inference (parametric and nonparametric statistical estimation, hypotheses testing) about the spectrum of stationary mod…
A Survey on Limit Theorems for Toeplitz Type Quadratic Functionals of Stationary Processes and Applications
Mamikon S. Ginovyan, Murad S. Taqqu
This is a survey of recent results on central and non-central limit theorems for quadratic functionals of stationary processes. The underlying processes are Gaussian, linear or Lév…
Extensions of Rosenblatt's results on the asymptotic behavior of the prediction error for deterministic stationary sequences
Nikolay M. Babayan, Mamikon S. Ginovyan, Murad S. Taqqu
One of the main problem in prediction theory of discrete-time second-order stationary processes is to describe the asymptotic behavior of the best linear mean squared predic…
Constraining quantum critical dynamics: 2+1D Ising model and beyond
William Witczak-Krempa
Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dyn…
On the trace approximations of products of Toeplitz matrices
M. S. Ginovyan, A. A. Sahakyan
The paper establishes error orders for integral limit approximations to the traces of products of Toeplitz matrices generated by integrable real symmetric functions defined on the…
The Trace Problem for Toeplitz Matrices and Operators and its Impact in Probability
Mamikon S. Ginovyan, Artur A. Sahakyan, Murad S. Taqqu
The trace approximation problem for Toeplitz matrices and its applications to stationary processes dates back to the classic book by Grenander and Szegö, "Toeplitz forms and their…