# Research interests

- Discrete harmonic analysis
- Spectral analysis of Jacobi matrices
- Orthogonal polynomials
- Random matrices

# Papers

- G. Świderski –
*Periodic perturbations of unbounded Jacobi matrices III: The critical case*, submitted, arXiv.
- G. Świderski –
*Spectral properties of block Jacobi matrices*, submitted, arXiv.
- G. Świderski –
*Periodic perturbations of unbounded Jacobi matrices II: Formulas for density*, Journal of Approximation Theory 216, 67–85 (2017), pdf, tests.
- G. Świderski, B. Trojan –
*Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors*, Journal of Approximation Theory 216, 38–66 (2017), pdf.
- G. Świderski –
*Spectral properties of unbounded Jacobi matrices with almost monotonic weights*, Constructive Approximation 44(1), 141–157 (2016), pdf.
- R. Szwarc, G. Świderski –
*Kaczmarz algorithm with relaxation in Hilbert space*, Studia Mathematica 216(3), 237-243 (2013), pdf.

# Other

*A pseudospectral method for stochastic differential equations* (MSc thesis in computer science, in Polish), pdf, tests.