Joaquim Puig

Joaquim Puig

Marc Noy
PhD in Mathematics, from University of Barcelona
Associate Professor at UPC

Personal webpage



PhD supervisor Prof. Dr. Carles Simó. From 2000-2005 working at the University of Barcelona and currently at the UPC.


Research Interests

  • Quasi-Periodic Dynamical Systems
  • Spectral Theory of Ergodic and Quasi-Periodic Schrödinger Operators
  • Numerical Simulations


Selected publications

  • Haro, Alex ;  Puig, Joaquim. A Thouless formula and Aubry duality for long-range Schrödinger  skew-products.  Nonlinearity  26  (2013),  no. 5, 1163—1187.
  • Puig, Joaquim; Simó, Carles. Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. J. Dynam. Differential Equations 23 (2011), no. 3, 649–669
  • Puig, Joaquim . Cantor spectrum and KDS eigenstates.  Comm. Math. Phys.  267  (2006),  no. 3, 735–740.
  • Puig, Joaquim ;  Simó, Carles . Analytic families of reducible linear quasi-periodic differential  equations.  Ergodic Theory Dynam. Systems  26  (2006),  no. 2, 481–524.
  • Puig, Joaquim . Cantor spectrum for the almost Mathieu operator.  Comm. Math. Phys.  244  (2004),  no. 2, 297–309.