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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.


Granty

23.11.2022 - 22.11.2023 Grant MINIATIURA-6 funded by National Science Center for the project "Dirichlet problem for infinite graphs over ordered fields".


CV


Publications

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

* Anna Muranova. "Dual Cheeger constant for weighted graphs over ordered fields" in Lecko A., Thomas Derek K. (eds.) Current Research in Mathematical and Computer Sciences IV, Wydawnictwo UWM, pp. 81--94 (2023) Link to preprint
* 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, Robert Schippa "Eigenvalues of the normalized complex Laplacian on finite electrical networks" Link to preprint