Démonstration probabiliste du théorème de d’Alembert. (French) Zbl 0558.60012

Sémin. de probabilités XIX, Univ. Strasbourg 1983/84, Proc., Lect. Notes Math. 1123, 207-208 (1985).
[For the entire collection see Zbl 0549.00007.]
B. Davis [Trans. Am. Math. Soc. 213, 353-362 (1975; Zbl 0292.60126)] proved the Picard’s theorem using the Brownian motion in the complex domain. In this paper the author gives a one page proof for the fundamental theorem of algebra by using the well known properties of the Brownian motion in the complex domain.


60B99 Probability theory on algebraic and topological structures
60J65 Brownian motion
58J65 Diffusion processes and stochastic analysis on manifolds
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