Results 21 to 30 of about 71 (69)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Prismatic F‐crystals and Wach modules
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
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Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
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Ringdown Modulation of Acceleration Radiation in the Schwarzschild Background
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We derive an analytic first‐order description of how Schwarzschild ringdown affects a detector‐based detailed‐balance diagnostic in a near‐horizon, single‐mode setting. A freely falling two‐level system couples to a cavity‐filtered outgoing mode of fixed asymptotic frequency, whose static Schwarzschild response gives geometric photon ...
Reggie C. Pantig
wiley +1 more source
Quantization of semisimple real Lie groups [PDF]
summary:We provide a novel construction of quantized universal enveloping $*$-algebras of real semisimple Lie algebras, based on Letzter’s theory of quantum symmetric pairs.
De Commer, Kenny
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On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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On Lie algebras in braided categories [PDF]
, 1997 The category of group-graded modules over an abelian group $G$ is a monoidal category. For any bicharacter of $G$ this category becomes a braided monoidal category.
Pareigis, Bodo
core
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
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Energy Internet, Volume 3, Issue 1, Page 23-38, April 2026.ABSTRACT With the advancement of smart grid and Internet of Things, alongside broad adoption of distributed energy resources, precise profiling of residential users has become vital to grid operational efficiency and load forecasting accuracy. However, existing profiling approaches mainly rely on single‐source load data and fail to capture the dynamic ...
Danlin Li +6 more
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