Document Zbl 1189.60104

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The geometry of Brownian surfaces. (English) Zbl 1189.60104

Probab. Surv. 3, 37-88 (2006).

Summary: 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.

Cited in 2 Documents

MSC:

60G60	Random fields
81T40	Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
60-02	Research exposition (monographs, survey articles) pertaining to probability theory

Keywords:

Segal’s axiom; Airault-Malliavin equation

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