Under OU-GFF dynamics thickness evolves continuously for all points and realizes every deterministic function; under stationary SHE dynamics thickness is discontinuous, super-thick points appear, and there exist phase transitions at gamma squared values 8, 6, 16/3, ... converging to 4 that match Ber
Revisiting the de
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The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
Birational localization of motivic spaces over perfect fields is equivalent to S^{2,1}-nullification, making π0^{b A^1} a birational invariant for proper schemes.
Proves local centralizer rigidity results for elements of Weyl chamber flows and twisted Weyl chamber flows on compact homogeneous spaces.
Extends Burklund-Lin-Wang-Xu techniques to cofiber-of-τ formalism for hidden extensions and derives new exotic transfer differentials in C4-slice spectral sequences for BP((C4))<m>.
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.
Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.
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Local centralizer rigidity for twisted Weyl chamber flows
Proves local centralizer rigidity results for elements of Weyl chamber flows and twisted Weyl chamber flows on compact homogeneous spaces.