Stochastic Quantization for the fractional Edwards Measure
classification
🧮 math-ph
math.FAmath.MPmath.PR
keywords
fractionalmeasurediffusionedwardsinvariantprocessanalysisbrownian
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We prove the existence of a diffusion process whose invariant measure is the fractional polymer or Edwards measure for fractional Brownian motion in dimension $d\in\mathbb{N}$ with Hurst parameter $H\in(0,1)$ fulfilling $dH < 1$. The diffusion is constructed via Dirichlet form techniques in infinite dimensional (Gaussian) analysis. Moreover, we show that the process is invariant under time translations.
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