Results 21 to 30 of about 29,198 (203)
On quasi‐orthogonal cocycles [PDF]
Journal of Combinatorial Designs, 2017 AbstractWe introduce the notion of quasi‐orthogonal cocycle. This is motivated in part by the maximal determinant problem for square ‐matrices of size congruent to 2 modulo 4. Quasi‐orthogonal cocycles are analogous to the orthogonal cocycles of algebraic design theory.
J. A. Armario, D. L. Flannery
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Mixed Random-Quasiperiodic Cocycles
Bulletin of the Brazilian Mathematical Society, New Series, 2022 We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certain types of observables. For the fiber dynamics we prove the uniform upper semicontinuity of the maximal Lyapunov exponent.
Ao Cai, Pedro Duarte, Silvius Klein
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On H* (C{script}; k×) for fusion systems [PDF]
, 2009 We give a cohomological criterion for the existence and uniqueness of solutions of the 2-cocycle gluing problem in block theory. The existence of a solution for the 2-cocycle gluing problem is further reduced to a property of fusion systems of certain ...
Linckelmann, M.
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Asymptotic behavior of plate equations driven by colored noise on unbounded domains
Boundary Value Problems, 2023 This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on R n $\mathbb{R}^{n}$ .
Xiao Bin Yao
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Inventiones mathematicae, 2015 We develop a "local theory" of multidimensional quasiperiodic $\SL(2,\R)$ cocycles which are not homotopic to a constant. It describes a $C^1$-open neighborhood of cocycles of rotations and applies irrespective of arithmetic conditions on the frequency, being much more robust than the local theory of $\SL(2,\R)$ cocycles homotopic to a constant.
Artur Avila, Raphaël Krikorian
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 2023 In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
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Twisted differential K-characters and D-branes
Nuclear Physics B, 2020 We analyse in detail the language of partially non-abelian Deligne cohomology and of twisted differential K-theory, in order to describe the geometry of type II superstring backgrounds with D-branes.
Fabio Ferrari Ruffino +1 more
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Higher spectral flow and an entire bivariant JLO cocycle
, 2012 Given a smooth fibration of closed manifolds and a family of generalised Dirac operators along the fibers, we define an associated bivariant JLO cocycle. We then prove that, for any $\ell \geq 0$, our bivariant JLO cocycle is entire when we endow smoooth
Benameur, Moulay-Tahar, Carey, Alan L.
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Lyapunov exponents for families of rotated linear cocycles
, 2015 In this work, we are interested in the study of the upper Lyapunov exponent $\lambda^+(\theta)$ associated to the periodic family of cocycles defined by $$A_\theta(x):=A(x)R_\theta,\qquad x\in X,$$ where $A\::\: X\to \mathbb{GL}^+(2,\mathbb{R})$ is a ...
Valenzuela-Henríquez, Pancho +1 more
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