Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math