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The geometry of Brownian surfaces

Rémi Léandre
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Abstract

Motivated by Segal's axiom of conformal field theory, we do a survey on geometrical random fields. We do a history of continuous random fields in order to arrive at a field theoretical analog of Klauder's quantization in Hamiltonian quantum mechanic by using infinite dimensional Airault-Malliavin Brownian motion.

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Rémi Léandre. 2006-04-20. The geometry of Brownian surfaces. https://doi.org/10.1214/154957806000000032

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