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arxiv: 1601.06406 · v1 · pith:FWZPTYIMnew · submitted 2016-01-24 · 🧮 math-ph · math.FA· math.MP· math.PR

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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