Crossover exponent for piecewise directed walk adsorption on Sierpinski   fractals
  We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent $\phi$, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the results obtained for ordinary self-avoiding walk, and discuss the asymptotic behaviour of $\phi$ at the fractal to Euclidean lattice crossover. 
Suncica Elezovic-Hadzic (Faculty of Physics, University of Belgrade),   Natasa Vasiljevic (Institute of Biophysics, Universi...