Results 41 to 50 of about 29,198 (203)

Multiplicative Jensen’s formula and quantitative global theory of one-frequency Schrödinger operators

open access: yesForum of Mathematics, Pi
We introduce the concept of dual Lyapunov exponents, leading to a multiplicative version of the classical Jensen’s formula for one-frequency analytic Schrödinger cocycles.
Lingrui Ge   +3 more
doaj   +1 more source

Exact local distribution of the absolutely continuous spectral measure

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
wiley   +1 more source

On Markovian cocycle perturbations in classical and quantum probability

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We introduce Markovian cocycle perturbations of the groups of transformations associated with classical and quantum stochastic processes with stationary increments, which are characterized by a localization of the perturbation to the algebra of events ...
G. G. Amosov
doaj   +1 more source

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito   +3 more
wiley   +1 more source

Superconformal anomalies from superconformal Chern-Simons polynomials

open access: yesJournal of High Energy Physics
We consider the 4-dimensional N $$ \mathcal{N} $$ = 1 Lie superconformal algebra and search for completely “symmetric” (in the graded sense) 3-index invariant tensors. The solution we find is unique and we show that the corresponding invariant polynomial
Camillo Imbimbo   +2 more
doaj   +1 more source

Geometric Families Define Differential K-Theory

open access: yesAxioms
The index-theoretic construction of differential K-theory by Bunke and Schick uses both a geometric family and a differential form as a cocycle data. We prove that geometric families alone can codify the differential K-theory.
Jae Min Lee, Byungdo Park
doaj   +1 more source

A Maslov cocycle for unitary groups

open access: yes, 2009
We introduce a 2-cocycle for symplectic and skew-hermitian hyperbolic groups over arbitrary fields and skew fields, with values in the Witt group of hermitian forms.
Kramer, Linus, Tent, Katrin
core   +4 more sources

Cocycle twists of algebras [PDF]

open access: yesCommunications in Algebra, 2016
17 ...
openaire   +3 more sources

Local equivalence and refinements of Rasmussen's s‐invariant

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield   +2 more
wiley   +1 more source

On Hopf-Galois extensions of linear categories

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We continue the investigation of H-Galois extensions of linear categories, where H is a Hopf algebra. In our main result, the Theorem 2.2, we characterize this class of extensions in the case when H is finite dimensional.
Stănescu Anca
doaj   +1 more source

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