Charge-spin separation in 2D Fermi systems: Singular interactions as modified commutators, and solution of the 2D Hubbard model in the bosonized approximation [PDF]
, 1995 Philip W. Anderson, D. V. Khveshchenko
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On the local Kan structure and differentiation of simplicial manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
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Exponential control of excitations for trapped BEC in the Gross-Pitaevskii regime. [PDF]
Lett Math PhysBehrmann N, Brennecke C, Rademacher S.
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Sharp commutator estimates via harmonic extensions [PDF]
Nonlinear Analysis, 2016 E. Lenzmann, A. Schikorra
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Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
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A DC-Sensitive Video/Electrophysiology Monitoring Unit for Long-Term Continuous Study of Seizures and Seizure-Associated Spreading Depolarization in a Rat Model. [PDF]
eNeuroLiu J, Gluckman BJ.
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Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem [PDF]
, 2000 Bronisław Jakubczyk
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Abelian Livšic theorems for Anosov flows
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
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Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness. [PDF]
J Geom AnalBényi Á, Oh T, Torres RH.
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