Andrés M. Encinas

Biosketch

Member 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.

Current and previous positions

Currently at Mathematics Department in the Universitat Politècnica de Catalunya.

Research lines

• Discrete vector calculus
• Boundary value problems on networks associated with discrete elliptic operators
• Effective resistances and Kirchhoff index
• M-matrix inverse problems
• Inverse problems on networks

Selected publications

• 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.
• Araúz, A. Carmona, A.M. Encinas, Overdetermined partial boundary value problems on finite networks, J. Math. Anal. Appl., 423 (2015), 191-207.
• Bendito, A. Carmona, A.M. Encinas, J.M. Gesto, Characterization of symmetric M-matrices as resistive inverses, Linear Algebra Appl., 430 (2009), 1336-1349.
• Bendito, A. Carmona, A.M. Encinas, Potential Theory of Schrödinger operators on finite networks, Rev. Mat. Iber., 21 (2005), 771-818.
• Bendito, A. Carmona, A.M. Encinas, Solving boundary value problems on networks by means of equilibrium measures, J. Func. Anal., 171 (2000), 155-176.