The geometry of Brownian surfaces

Details The geometry of Brownian surfaces The geometry of Brownian surfaces

2006-04-20

arxiv.org/abs/math/0604446v1

Probab.Surv.3:37-88,2006

Mathematics

Probability

Published at http://dx.doi.org/10.1214/154957806000000032 in the Probability Surveys (http://www.i-journals.org/ps/) by the In

Scientific paper

10.1214/154957806000000032

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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