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.
Citation
Rémi Léandre. "The geometry of Brownian surfaces." Probab. Surveys 3 37 - 88, 2006. https://doi.org/10.1214/154957806000000032
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