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Random walks on a 600-cell. (English) Zbl 0498.60073


MSC:

60G50 Sums of independent random variables; random walks
60D05 Geometric probability and stochastic geometry
60C05 Combinatorial probability
Full Text: DOI

References:

[1] Coxeter, H. S. M., Regular polytopes, (1963) · Zbl 0118.35902
[2] Letac, Gérard; Takács, Lajos, Random walks on an {\it m}-dimensional cube, J. Reine Angew. Math., 310, 187, (1979) · Zbl 0411.60072
[3] Lucas, E., Sur l’emploi du calcul symbolique, dans la théorie des séries récurrentes, Nouvelle Correspondence Mathématique, 2, (1876) · JFM 08.0150.04
[4] Schläfli, Ludwig, Theorie der vielfachen kontinuität, Neue Denkschriften der allgemeinen schweizerischen Gesellschaft für die gesamten Naturwissenschaften, Band 38, Zürich, 1901, I, 167, (1950), Verlag Birkhäuser, Basel · JFM 32.0083.10
[5] Regelmässige schnitte and projektionen des hundertzwanzigzelles and sechshundert-zelles im vierdimensionalen raume, I-IIVerhandelingen der Koninklijke Akademie van Weten-schappen to Amsterdam, Eerste Sectie 2Vol. 7189420and Ibid. 9, (4) (1907), 32 pp. · JFM 38.0583.03
[6] Sommerville, D. M. Y., Description of a projection model of the 600-cell in space of four dimensions, Proc. Roy. Soc. Edinburgh, 34, 253, (19131914) · JFM 45.0798.01
[7] Sommerville, D. M. Y., An introduction to the geometry of n dimensions, (1958) · Zbl 0086.35804
[8] van Oss, S. L., Das regelmässige sechshundertzell und seine selbsdeckenden bewegungen, Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam, Eerste Sectie 7, 1, 18, (1900) · JFM 31.0548.01
[9] van Oss, S. L., Die regelmässigen vierdimensionalen polytope höherer art, Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam Eerste Sectie 12, 1, 13, (1915) · JFM 45.0797.08
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