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Zbl 0776.60128
Diaconis, P.; Fulton, W.
A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. (English)
[J] Rend. Semin. Mat., Torino 49, No.1, 95-119 (1991). ISSN 0373-1243

Summary: From a suitable probability-like function on pairs of points in a set, a commutative algebra is constructed. The product in this algebra can often be realized as a growth model, or a game whose outcome is independent of choices. A special case yields a simple proof of the Lagrange inversion formula, and intriguing formulas for characteristic classes on projective spaces.

MSC 2000:: *60K99 Special processes
60B15 Probability measures on groups
92D99 Genetics and population dynamics

Keywords: growth model; Lagrange inversion formula

Cited in: Zbl 1189.60178 Zbl 1106.60078 Zbl 1062.00002 Zbl 1001.60051

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