Geodesic
Two mathematical problems of canonical quantization. III. Stochastic vacuum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 377-395 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of recovery of the measure from its logarithmic derivative is investigated. The role of this problem in stochastic mechanics, canonical quantization, and the theory of integration of functionals is discussed. It is shown that a measure that possesses logarithmic derivative $A$ is a stationary distribution of a diffusion process with drift coefficient $A$. This makes it possible to calculate integrals with respect to the measure by means of Monte Carlo methods. 
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     author = {A. I. Kirillov},
     title = {Two mathematical problems of canonical {quantization.~III.} {Stochastic} vacuum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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A. I. Kirillov. Two mathematical problems of canonical quantization. III. Stochastic vacuum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 91 (1992) no. 3, pp. 377-395. http://geodesic.mathdoc.fr/item/TMF_1992_91_3_a2/

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