Results 71 to 80 of about 29,198 (203)
Electric-magnetic duality in twisted quantum double model of topological orders
Journal of High Energy Physics, 2020 We derive a partial electric-magnetic (PEM) duality transformation of the twisted quantum double (TQD) model TQD(G, α) — discrete Dijkgraaf-Witten model — with a finite gauge group G, which has an Abelian normal subgroup N , and a three-cocycle α ∈ H 3(G,
Yuting Hu, Yidun Wan
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Continuity of Lyapunov Exponents for Random 2D Matrices [PDF]
, 2010 The Lyapunov exponents of locally constant GL(2;C)-cocycles over Bernoulli shifts depend continuously on the cocycle and on the invariant probability.
Bocker-Neto, Carlos, Viana, Marcelo
core
On the solvability of the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ for blocks of finite groups
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We give some criteria for the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ to be solvable, where B$B$ is a p$p$‐block of a finite group algebra, in terms of the action of an inertial quotient of B$B$ on a defect group of B$B$.
Markus Linckelmann, Jialin Wang
wiley +1 more source
A Lyapunov function for pullback attractors of nonautonomous differential equations
Electronic Journal of Differential Equations, 2000 The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
Peter E. Kloeden
doaj
AF-equivalence relations and their cocycles
, 2001 After a review of some of the main results about hyperfinite equivalence relations and their cocycles in the measured setting, we give a definition of a topological AF-equivalence relation.
Renault, Jean
core
On the Non-Uniform Hyperbolicity of the Kontsevich-Zorich Cocycle for Quadratic Differentials [PDF]
, 2011 We prove the non-uniform hyperbolicity of the Kontsevich-Zorich cocycle for a measure supported on abelian differentials which come from non-orientable quadratic differentials through a standard orientating, double cover construction.
Treviño, Rodrigo
core
Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
, 2009 Abstract shortened. Sect. 5 modified. References added. Will appear with title "Relative pairings and the APS index formula for the Godbillon-Vey cocycle" in the Contemporary Mathematics volume "Non-commutative Geometry and Global Analysis. Proceedings of the conference in honor of Henri Moscovici".
Moriyoshi, Hitoshi, Piazza, Paolo
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Cocycles and Almost Periodicity [PDF]
Journal of the London Mathematical Society, 1987 Let G be a compact abelian group containing, as a dense subgroup, the image of \({\mathbb{R}}\) by a continuous injective homomorphism, say \(\alpha\). A cocycle on G is defined here as a unitary \((=\) of modulus 1) continuous function on \(G\times {\mathbb{R}}\) satisfying the identity \(Y(g,s+t)=Y(g,s)Y(g+\alpha (s),t)\). A cocycle is called trivial
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