Aperiodic Ising model on the Bethe lattice: Exact results
  We consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exactly for marginal aperiodic sequences. We present analytical formulae for the continuously varying critical exponents and discuss a relationship with the (surface) critical behavior of the aperiodic quantum Ising chain. 
F. Igloi (1,2,3) and L. Turban (3) ((1) Research Institute for Solid   State Physics and Optics, Budapest, (2) Institute of ...