Joaquim Puig

Associate professor at UPC
Research area: Dynamical Systems

PhD in Mathematics obtained at UB

Biosketch

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

Research lines

  • 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.