Results 81 to 90 of about 29,073 (168)
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles
We explore a knot invariant derived from colorings of corresponding [Formula: see text]-tangles with arbitrary connected quandles. When the quandle is an abelian extension of a certain type the invariant is equivalent to the quandle [Formula: see text]-cocycle invariant.
Clark, W. Edwin +2 more
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Formal higher-spin theories and Kontsevich–Shoikhet–Tsygan formality
The formal algebraic structures that govern higher-spin theories within the unfolded approach turn out to be related to an extension of the Kontsevich formality, namely, the Shoikhet–Tsygan formality.
Alexey Sharapov, Evgeny Skvortsov
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Lyapunov functions for dichotomies in mean
We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure.
Luis Barreira, Claudia Valls
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Given a continuous linear cocycle $\mathcal {A}$ over a homeomorphism f of a compact metric space X, we investigate its set $\mathcal {R}$ of Lyapunov-Perron regular points, that is, the collection of trajectories of f that obey the ...
Jairo Bochi, Yakov Pesin, Omri Sarig
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Translation Invariant Spaces and Asymptotic Properties of Variational Equations
We present a new perspective concerning the study of the asymptotic behavior of variational equations by employing function spaces techniques. We give a complete description of the dichotomous behaviors of the most general case of skew-product flows ...
Adina Luminiţa Sasu, Bogdan Sasu
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Quantum Markov Chains were defined by the first author [Non-commutative Markov chains. Proc. School Math. Phys. Camarino, 268-295 (1974)] as states \(\phi\) on the infinite \(C^*\)-tensor product A of countably many copies of a matrix algebra M, possessing an intrinsic statistical property (formulated in terms of generalized conditional expectations ...
ACCARDI, LUIGI, Frigerio, A.
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On Low-Dimensional Locally Compact Quantum Groups
Continuing our research on extensions of locally compact quantum groups, we give a classification of all cocycle matched pairs of Lie algebras in small dimensions and prove that all of them can be exponentiated to cocycle matched pairs of Lie groups ...
Vaes, Stefaan, Vainerman, Leonid
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On two-dimensional tensor network group symmetries
We introduce two-dimensional tensor-network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor-network ground states.
José Garre-Rubio, András Molnár
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Umbilic Lines in Orientational Order
Three-dimensional orientational order in systems whose ground states possess nonzero gradients typically exhibits linelike structures or defects: λ lines in cholesterics or Skyrmion tubes in ferromagnets, for example. Here, we show that such lines can be
Thomas Machon, Gareth P. Alexander
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Introduction Representation as well as central extension are two of the most important concepts in the theory of Lie (super)algebras. Apart from the interest of mathematicians, the attention of physicist are also drawn to these two subjects because of ...
Malihe Yousofzadeh
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