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A growth model, a game, an algebra, Lagrange inversion, and characteristic classes. (English) Zbl 0776.60128
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:
60K99Special processes
60B15Probability measures on groups or semigroups, Fourier transforms, factorization
92D99Genetics and population dynamics