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math.PR2023★ 1 cited
Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method
Sergio Albeverio, Seiichiro Kusuoka, Song Liang +1
We prove that there exists a diffusion process whose invariant measure is the three dimensional polymer measure for all . We follow in part a previous incomplete unpubli…
math.PR2021★ 4 cited
Construction of a non-Gaussian and rotation-invariant -measure and associated flow on through stochastic quantization
Sergio Albeverio, Seiichiro Kusuoka
A new construction of non-Gaussian, rotation-invariant and reflection positive probability measures associated with the -model of quantum field theory is presented. Our…