G M Cicuta et al 2002 J. Phys. A: Math. Gen. 35 1125 doi:10.1088/0305-4470/35/5/302
G M Cicuta1, M Contedini2 and L Molinari3
Show affiliationsWe present some old and new results in the enumeration of random walks in one dimension, mostly developed in work on enumerative combinatorics. The relation between the trace of the nth power of a tridiagonal matrix and the enumeration of weighted paths of n steps allows an easier combinatorial enumeration of paths. It also seems promising for the theory of tridiagonal random matrices.
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 5 (8 February 2002)
Received 13 November 2001
Published 25 January 2002
G M Cicuta et al 2002 J. Phys. A: Math. Gen. 35 1125
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