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Anna Muranova

Dr. Anna Muranova

assistant professor

Office: E1/18
Tel.: +48 89 524 61 17 (direct)
E-mail: anna(dot)muranova(at)matman.uwm.edu.pl



Office hours

Wednesday 12:30 - 14:00 (only during the semester)
or by appointment

Teaching

*Summer Semester 2024


LaTeX template for UWM WMiI poster

Download .zip here


Current research interests

Differential operators on graphs, analysis on graphs, electric networks, algebra.


Current research projects

"Dirichlet problem for infinite graphs over ordered fields" funded by National Science Center .


CV


Publications

My Erdös number is 3 (Wolfgang Woess – Carsten Thomassen – Paul Erdös)

* Anna Muranova "The effective impedances of infinite ladder networks and Dirichlet problem on graphs". Bulg. J. Phys. vol.49 no.2 (2022), pp. 115-135 Link to preprint / Link to paper (Open Access)
* Anna Muranova, Wolfgang Woess "Networks with complex weights: Green function and power series". Mathematics, 10(5):820 (2022). Link to preprint / Link to paper (Open Access)
* Anna Muranova "On the effective impedance of finite and infinite networks". Potential Analysis 56, pages 697 - 721 (2022) Link to preprint / Link to paper
* Anna Muranova "Effective impedance over ordered fields". Journal of mathematical physics 62, 033502(2021) Link to preprint / Link to paper (Open Access)
* Anna Muranova "On the notion of effective impedance". Operators and Matrices. Volume 14, Number 3(2020), p. 723-741 Link to preprint / Link to paper



Preprints

* Ragon Ebker, Anna Muranova, Max Schmidt "Power iteration for matrices with power series entries" Link to preprint
* Florian Fischer, Matthias Keller, Anna Muranova, Noema Nicolussi "Capacity of infinite graphs over non-Archimedean ordered fields" Link to preprint
* Anna Muranova "Discrete Laplace and transition operators over non-Archimedean ordered fields" Link to preprint
* Anna Muranova "Dual Cheeger constant for weighted graphs over ordered fields" Link to preprint
* Anna Muranova, Robert Schippa "Eigenvalues of the normalized complex Laplacian on finite electrical networks" Link to preprint