Abstract We develop the quantum field theory of fermion mixing in curved spacetime and discuss role unitarily inequivalent representations particle interpretation theory. derive general oscillation formulae apply them to specific spcetimes interest, such as spatially flat FRW metrics Schwarzschild spacetime. exhibit main deviations from usual mechanical approach.

Voxel-wise statistical inference is commonly used to identify significant experimental effects or group differences in both functional and structural studies of the living brain. Tests based on the size of spatially extended clusters of contiguous suprathreshold voxels are also widely used due to their typically increased statistical power. In "imaging genetics", such tests are used to identify...

In the juvenile brain, the synaptic architecture of the visual cortex remains in a state of flux for months after the natural onset of vision and the initial emergence of feature selectivity in visual cortical neurons. It is an attractive hypothesis that visual cortical architecture is shaped during this extended period of juvenile plasticity by the coordinated optimization of multiple visual c...

Wireless communication systems with multiple antennas, so-called multiple-input multiple-output (MIMO) systems, offer huge advantages over conventional single-antenna systems – both with regard to capacity and error performance. Typically, quite restrictive assumptions are made in the literature concerning the antenna spacings at transmitter and receiver: On the one hand, one normally assumes t...

We study some anisotropic heterogeneous nonlinear integral equations arising in epidemiology. focus on the case where heterogeneities are spatially periodic. In first part of paper, we show that consider exhibit a threshold phenomenon. second part, existence and non-existence traveling waves, provide formula for admissible speeds. third apply our results to spatial SIR model.

Traditional kernel methods for estimating the spatially-varying density of points in a spatial point pattern may exhibit unrealistic artefacts, addition to familiar problems bias and over- or under-smoothing. Performance can be improved by using diffusion smoothing, which smoothing is heat on domain. This paper develops into practical statistical methodology two-dimensional data. We clarify adv...