2 problems

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Shioya–Takatsu's non-isomorphism conjecture for abstract Wiener space limits
Shioya–Takatsu's conjecture. Any weak limit of compact homogeneous Riemannian manifolds is not mm-isomorphic, that is, not isomorphic as a metric measure space, to the abstract Wie…
Conjectureopenmetric-measure-geometry riemannian-geometry wiener-spacearXiv posted 2 days ago
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Dimension-independent random sampling and time partitioning for cubature on Wiener space
Let $d$ be the dimension of the underlying Brownian motion, let $D$ be the dimension of the cubature integrand's output, and consider constructing cubature on Wiener space using ra…
Conjectureopencubature high-dimensional-probability wiener-spacearXiv posted 2 days ago

Shioya–Takatsu's non-isomorphism conjecture for abstract Wiener space limits