Marc Klinger

TL;DR: In this paper , the authors identify a direct correspondence between the crossed product construction which plays a crucial role in the theory of Type III von Neumann algebras, and the extended phase space construction which restores the integrability of non-zero charges generated by gauge symmetries in the presence of spatial substructures.

TL;DR: In this article , the authors provide a new information theoretic perspective for understanding the Exact Renormalization Group (ERG) through the intermediary of Bayesian Statistical Inference, and demonstrate how the Dynamical Bayesian Inference equation is, itself, equivalent to a diffusion equation which they dub Bayesian diffusion.

TL;DR: In this paper , the exterior algebra of an Atiyah Lie algebroid generalizes the familiar notions of the physicist's BRST complex, and it is shown that the trivialized Lie algebra gives rise to the BrST complex.

TL;DR: In this article , it was shown that in diffeomorphism-invariant theories, Noether charges associated with a given codimension-2 surface become integrable if one introduces an extended phase space.