Matrix Analysis and Discrete Potential Theory

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M. José Jimenéz Jimenéz

Address  -- Publications and Teaching

  Departament de Matemàtica Aplicada III  
  Universitat Politècnica de Catalunya 
  Campus de Terrassa
  Edifici TR1, Desp. 005 
  C/ Colom 1
  08222 Terrassa, Barcelona (Spain)


Phone: +34 93 7398257
Fax: +34 93 7398225
e-mail: maria.jose.jimenez@upc.edu
web: www.directori.upc.edu

  Education

  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  

09/2000-03/2001 Profesora a tiempo parcial, Matemàtica Aplicada III, UPC (Partial time professors, BarcelonaTech)
04/2001 - 12/2004 Investigadora en formación, Matemàtica Aplicada III, UPC (Research Personnel, BarcelonaTech)
09/2005 - 08/2007 Profesora ayudante, Matemàtica Aplicada III, UPC (Adjunct Professor, BarcelonaTech) 
09/2007 - Present Profesora colaboradora, Matemàtica Aplicada III, UPC (Assistant Professor, BarcelonaTech)