Proof of the HRT conjecture for almost every (1,3) configuration
  Based on the proof of Demeter \We prove that for almost every (1,3) configuration, there is no linear dependence between the associated time-frequency translates of any $f\in L^2(\R)\backslash \{0\}$.cite{Dem10}, we establish the HRT conjecture for almost every (1,3) configuration. 
Wencai Liu
math.FA