Exact Expressions for Minor Hysteresis Loops in the Random Field Ising   Model on a Bethe Lattice at Zero Temperature
  We obtain exact expressions for the minor hysteresis loops in the ferromagnetic random field Ising model on a Bethe lattice at zero temperature in the case when the driving field is cycled infinitely slowly. 
Prabodh Shukla (NEHU, Shillong, India)