My name is Egor Maximenko.
I like to study mathematics, especially Toeplitz matrices and some classes of Toeplitz operators.
List of publications
Teaching, in simple Spanish
Short CV, the same CV in Russian, more detailed CV in Spanish.
EM-mail: emaximenko ☺ ipn mx
Minors of band Toeplitz matrices and skew Schur polynomials: interactive illustration.
Minors of band Toeplitz matrices and skew Schur polynomials: symbolic tests in SageMath.
Eigenvalues of radial Toeplitz operators, log-oscillation and sqrt-oscillation (presentation).
The inverse of the positive definite symmetric tridiagonal Toeplitz matrix, interactive visualization
An interactive visualization of the eigenvalues and eigenvectors of Kac–Murdock–Szegő family of Toeplitz matrices
From convergence in distribution to uniform convergence of quantile functions (presentation)
Arcsin law for random walks turned inside out
Examples of quantile functions of Szegő limit eigenvalue distribution of Hermitian Toeplitz matrices
Matlab function for computing the eigenvalues
and eigenvectors of banded real symmetric Toeplitz matrices satisfying a certain "simple-loop" condition
(joint work with A. Böttcher and S. Grudsky)
Simulator of AR(1) process with uniform noise
Graph of the atomic function h