A widespread myth asserts that all small universe models suppress the CMB quadrupole. In actual fact, some models suppress the quadrupole while others elevate it, according to whether their low-order modes are weak or strong relative to their high-order modes. Elementary geometrical reasoning shows that a model’s largest dimension determines the rough value lmin at which the CMB power spectrum ...

The mechanisms of photon propagation in random media in the diffusive multiple scattering regime have been previously studied using diffusion approximation. However, similar understanding in the low-order (subdiffusion) scattering regime is not complete due to difficulties in tracking photons that undergo very few scatterings events. Recent developments in low-coherence enhanced backscattering ...

The mechanisms of photon propagation in random media in the diffusive multiple scattering regime have been previously studied using diffusion approximation. However, similar understanding in the low-order (sub-diffusion) scattering regime is not complete due to difficulties in tracking photons that undergo very few scatterings events. Recent developments in low-coherence enhanced backscattering...

Abstract Given a linear self-adjoint differential operator $$\mathscr {L}$$ L along with discretization scheme (like Finite Differences, Elements, Galerkin Isogeometric Analysis, etc.), in many numerical applications it is crucial to understand how good the (relative) approximation of whole spectrum discretiz...

In recent years several extensions of first-order logic have been investigated in the context of finite-model theory. Fixpoint logic and the infinitary logic L∞ω with a finite number of variables have turned out to be of particular importance. The study of fixpoint logic generated interactions with both database theory and complexity theory, while the infinitary logic L∞ω proved to be a useful ...