We study U(1) gauge theories with a modified Villain action. Such can naturally be coupled to electric and magnetic matter, display exact electric-magnetic duality. In their simplest formulation without $\theta$-term, such are ultra-local. extend the discussion $\theta$-terms, that $\theta$ periodicity is for free theory, show imposing duality results in local, but not ultra-local lattice actio...

During study trials of a recognition memory task, alpha (∼10 Hz) oscillations decrease, and concurrently, theta (4-8 Hz) oscillations increase when later memory is successful versus unsuccessful (subsequent memory effect). Likewise, at test, reduced alpha and increased theta activity are associated with successful memory (retrieval success effect). Here we take an individual-differences approac...

Finite-dimensional spaces which are invariant under the action of the Hamiltonian of the BCN Inozemtsev model are introduced, and it is shown that higher commuting operators also preserve the finite-dimensional spaces. The relationship between the finite-dimensional spaces of the BCN Inozemtsev models and the theta-type invariant spaces of the BCN Ruijsenaars models is clarified. The degenerati...

A generalized Cahn--Hilliard model in a bounded interval of the real line with no-flux boundary conditions is considered. The label ``generalized'' refers to fact that we consider concentration dependent mobility, $p$-Laplace operator $p > 1$ and double well potential form $F(u)=\frac{1}{2\theta}|1-u^2|^\theta$, $\theta 1$; these terms replace, respectively, constant linear Laplace $C^2$ satisf...

An explicit, adaptive, hybrid finite element/finite difference method is proposed for the numerical solution of Maxwell’s equations in the time domain. The method is hybrid in the sense that different numerical methods, finite elements and finite differences, are used in different parts of the computational domain. Thus, we combine the flexibility of finite elements with the efficiency of finit...

Acute and long-term effects of mindfulness meditation on theta-band activity are not clear. The aim of this study was to investigate frontal theta differences between long- and short-term mindfulness practitioners before, during, and after mindfulness meditation. Twenty participants were recruited, of which 10 were experienced Buddhist meditators. Despite an acute increase in the theta activity...

sandwich sheet rolling process is investigated using an analytical method (slab method) and a numerical method (finite element method). the horizontal stress distribution in the layers, the rolling pressure along the contact interface and the neutral point between the roll and the sheet are investigated. then the affects of the parameters such as the friction between the sheet and the roll, she...

Let \((T_t)_{t \geqslant 0}\) be a markovian (resp. submarkovian) semigroup on some \(\sigma \)-finite measure space \((\Omega ,\mu )\). We prove that its negative generator A has bounded \(H^{\infty }(\Sigma _\theta )\) calculus the weighted \(L^2(\Omega ,wd\mu as long weight \(w : \Omega \rightarrow (0,\infty finite characteristic defined by \(Q^A_2(w) = \sup _{t > 0} \left\| T_t(w) T_t \left...