1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the Isomorphism of Semicircular Algebras
D. Shlyakhtenko
Building on OpenAI's proof of isomorphism of free group factors, we give a self-contained proof of a corresponding result for -algebras generated by free semicircular system…
On the II Factors of Fuchsian Groups
D. Shlyakhtenko
We show that von Neumann algebras of fundamental groups of closed orientable surfaces of genus are free group factors on generators. The key technical ingredient inv…
The Future of Artificial Intelligence and the Mathematical and Physical Sciences (AI+MPS)
Andrew Ferguson, Marisa LaFleur, Lars Ruthotto +97
This community paper developed out of the NSF Workshop on the Future of Artificial Intelligence (AI) and the Mathematical and Physics Sciences (MPS), which was held in March 2025 w…
Free transport for convex potentials
Y. Dabrowski, A. Guionnet, D. Shlyakhtenko
We construct non-commutative analogs of transport maps among free Gibbs state satisfying a certain convexity condition. Unlike previous constructions, our approach is non-perturbat…