Dynnikov and train track transition matrices of pseudo-Anosov braids
  We compare the spectra of Dynnikov matrices with the spectra of the train track transition matrices of a given pseudo-Anosov braid on the finitely punctured disk, and show that these matrices are isospectral up to roots of unity and zeros under some particular conditions. 
S.\"Oyk\"u Yurtta\c{s}
math.DS