# Ángeles Carmona Mejías

### Biosketch

Currently at Mathematics Department in the Universitat Politècnica de Catalunya. Responsible of the research group Compthe, mainly focused on M-Matrix Analysis and Discrete Potential Theory. We analyze linear problems and discrete boundary value problems from a Potential Theory point of view.

### Research lines

M-matrix analysis and Discrete Potencial Theory

Boundary value problems on networks associated with discrete elliptic operstors

Effective resistances and Kirchhoff index

Inverse problems on networks

M-matrix inverse problems

### Selected publications

E. Bendito, A. Carmona, A.M. Encinas, Potential Theory of Schrödinger operators on finite networks, Rev. Mat. Iber., 21 (2005), 771-818.

E. Bendito, A. Carmona, A.M. Encinas, J.M. Gesto, Characterization of symmetric M-matrices as resistive inverses, Linear Algebra Appl., 430 (2009), 1336-1349.

C. Araúz, A. Carmona, A.M. Encinas, Overdetermined partial boundary value problems on finite networks, J. Math. Anal. Appl., 423 (2015), 191-207.

C. Araúz, A. Carmona, A.M. Encinas, Discrete Serrin's problem, Linear Algebra Appl., 468 (2015), 107-121.

C. Araúz, A. Carmona, A.M. Encinas, M. Mitjana, Recovering the conductances on grids: a theoretical justification, in A panorama of mathematics: pure and applied, Contemp. Math., 658, Amer. Math. Soc., Providence, RI (2016), 149-166.