A new family of solvable Pearson-Dirichlet random walks

DOI10.1007/s10955-011-0245-4zbMath1226.82025arXiv1106.5070OpenAlexW3101330002WikidataQ60692003 ScholiaQ60692003MaRDI QIDQ637522

Gérard Le Caër

Publication date: 6 September 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5070

zbMATH Keywords

inverse Laplace transformGauss hypergeometric functiongamma distributionDirichlet distributionBessel numbersrandom flightsPearson-Rayleigh random walks

Mathematics Subject Classification ID

Laplace transform (44A10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Uses Software

• DLMF
• OEIS

Cites Work

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