• Applications of a quantum random number generator to simulations in condense matter physics 

      Guigó Corominas, Guillem (Universitat Politècnica de Catalunya, 2018-10-15)
      Projecte Final de Màster Oficial
      Accés obert
      Realitzat a/amb:   Institut de Ciències Fotòniques (ICFO)
      We study the importance of the quality of random numbers in Monte Carlo simulations of 2D Ising systems. Simulations are carried out at critical temperature to find the dynamic scaling law of the linear relaxation time. ...
    • Positive solutions of nonlinear problems involving the square root of the Laplacian 

      Cabré Vilagut, Xavier; Tan, Jinggang (2009-05)
      Report de recerca
      Accés obert
      We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, ...