Beside the regularly applied concepts (e.g. neuron, brain, sign, representation, code, sense, experience, perception, etc.) an additional collection of concepts (entities, interaction, border, inhomogeneity, dialectics, necessity and contingency, freedom, historicity, acquaintance and knowledge, culture.) is proposed for the better understanding mind and cognition. An anti-Parmenidian ontology ...

Affine processes are distinguished by their rich structural properties, which makes them favorite when it comes to computations in financial applications of all kind. This fact has been explored and illustrated for the time-homogeneous case in a recent paper by Duffie, Filipović and Schachermayer. However, there are many situations which require time-dependent parameters, such as when it comes ...

Fractional diffusion equations are abstract partial differential equations that involve fractional derivatives in space and time. They are useful to model anomalous diffusion, where a plume of particles spreads in a different manner than the classical diffusion equation predicts. An initial value problem involving a space-fractional diffusion equation is an abstract Cauchy problem, whose analyt...

The Einstein–Klein–Gordon field equations are solved in a inhomogeneous shear–free universe containing a material fluid, a self–interacting scalar field, a variable cosmological term, and a heat flux. A quintessence– dominated scenario arises with a power–law accelerated expansion compatible with the currently observed homogeneous universe.