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Polymer measure: Varadhan’s renormalization revisited. (English) Zbl 1319.82027

Summary: Through chaos decomposition, we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion.

MSC:

82D60 Statistical mechanics of polymers
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
41A25 Rate of convergence, degree of approximation
60H40 White noise theory
60J55 Local time and additive functionals
60J65 Brownian motion
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References:

[1] DOI: 10.1088/0370-1328/85/4/301 · Zbl 0125.23205 · doi:10.1088/0370-1328/85/4/301
[2] DOI: 10.1023/A:1005782030567 · Zbl 0876.60068 · doi:10.1023/A:1005782030567
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