A Malakis 1976 J. Phys. A: Math. Gen. 9 1283 doi:10.1088/0305-4470/9/8/018
A Malakis
Show affiliationsThe trail problem on the square lattice is studied by the method of exact enumeration and its relation to the self-avoiding walk problem is pointed out. The number of N-stepped trails and their mean-square sizes are enumerated on a computer up to N=17. An asymptotic analysis of the numerical data suggests that certain critical exponents obey the same values for both the trail and the self-avoiding walk problem on the square lattice.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 8 (August 1976)
A Malakis 1976 J. Phys. A: Math. Gen. 9 1283
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