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Global harmonic analysis for $Φ^4_3$ on closed Riemannian manifolds

Bailleul, I. et al.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsprobability
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a $Φ^4$ measure on an arbitrary closed, compact Riemannian manifold of dimension $3$ as an invariant measure of a singular stochastic partial differential equation. This solves a longstanding open problem in
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