Matrix Analysis and Discrete Potential Theory

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Margarida Mitjana Riera

Address  -- Publications and Teaching


Departament de Matemàtica Aplicada I (EPSEB)
Universitat Politècnica de Catalunya (UPC)
Avda. Gregorio Marañón 44-50
08028 Barcelona (Spain)


Phone: +34 93 401 17 41 
Fax: +34 93 401 17 13
e-mail: margarida.mitjana@upc.edu
web: www.ma1.upc.edu
             

 

  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
Member of Research Grup on Graph Theory and Combinatorics 

  

  Position

09/2002 - Present
 Professora Titular d'Universitat, Matemàtica Aplicada I, UPC (Associate Professor, UPC BarcelonaTech)