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: egormaximenko ☺ g m a i l c o m, emaximenko ☺ ipn mx

#### Hobby

I like programming, especially simple algorithmic problems.

I would like to study rockabilly jive dance.

#### Some math presentations

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