Enumeration of simple random walks and tridiagonal matrices

DOI10.1088/0305-4470/35/5/302zbMath0998.05003arXivcond-mat/0011360OpenAlexW2030618775MaRDI QIDQ4533455

G. M. Cicuta, M. Contedini, Luca Guido Molinari

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0011360

zbMATH Keywords

random walksenumerationDyck pathtridiagonal matricescontinued fraction

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (7)

Factorization of the characteristic function of a Jacobi matrix ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ The range of a simple random walk on \(\mathbb{Z}\): an elementary combinatorial approach ⋮ Enumerative combinatorics of \textit{XX0} Heisenberg chain ⋮ Exact partition function for the random walk of an electrostatic field ⋮ On the powers and the inverse of a tridiagonal matrix ⋮ Motzkin paths, Motzkin polynomials and recurrence relations

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