Matrix Analysis and Discrete Potential Theory

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Angeles Carmona Mejías

Address -- Publications and Teaching

  Departament de Matemàtiques
  Universitat Politècnica de Catalunya 
  EEBE
  Edifici A
  Planta  9 Despatx A9.43
  AV. Eduard Maristany, 19

 08019 Barcelona (Spain)


Phone: +934137317
e-mail: angeles.carmona@upc.edu 
web: Futur UPC

  Education

             Grafos y Digrafos con máxima connectividad y máxima distancia-connectividad 
             Supervisors: M.A. Fiol Mora, J. Fabrega Canudas



  Research Interest

 


M-MATRIX ANALYSIS AND POTENTIAL THEORY

The main objectives of  our research is the study of Linear Problems  from a Potential Theory point of view. That includes the analysis of: 
  • equilibrium measures on networks
  • discrete vector calculus
  • boundary value problems on network associated with Schrödinger operator
  • general elliptic operators on networks
  • effective resistances and Kirchhoff index
  • Green operators and generalized inverses
  • M-matrix inverse problems
  • the inverse problems on networks

  

  Positions 

10/1989 - 03/1991 Profesora Asociada a tiempo completo, Matemàtica Aplicada III, UPC (Lecturer Professor, BarcelonaTech)
04/1991 - 08/2023 Profesora Titular de Escuela Universitaria, Matemàtica Aplicada III, UPC (Assistant Professor, BarcelonaTech)
09/2023-Present Catedrática de Universidad, Matemàtiques, UPC (Full professor)
08/1999 - 09/2023
 Profesora Titular de Universidad, Matemàtica Aplicada III, UPC (Associated Professor, BarcelonaTech)