Optimal Multi-Modes Switching Problem in Infinite Horizon

This paper studies the problem of the deterministic version of the Verification Theorem for the optimal m-states switching in infinite horizon under Markovian framework with arbitrary switching cost functions. The problem is formulated as an extended impulse control problem and solved by means of probabilistic tools such as the Snell envelop of processes and reflected backward stochastic differential equations. A viscosity solutions approach is employed to carry out a finne analysis on the associated system of m variational inequalities with inter-connected obstacles. We show that the vector of value functions of the optimal problem is the unique viscosity solution to the system. This problem is in relation with the valuation of firms in a financial market

Emergentism and musicology: an alternative perspective to the understanding of dissonance.

In this paper we develop an approach to musicology within the discussion of emergentism. First of all, we claim that some theories of musicology could be insufficient in describing and explaining musical phenomena when emergent properties are not taken into account. Actually, musicology usually considers just syntactical elements, structures and processes and puts only a little emphasis, if any, over perceptual aspects of human hearing. On the other hand, recent research efforts are currently being directed towards an understanding of the emergent properties of auditory perception, especially in fields such as cognitive science. Such research leads to other views concerning old issues in musicology and could create a fruitful approach, filling the gap between musicology and auditory perception

Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry

The importance of Einstein's geometrization philosophy, as an alternative to the least action principle, in constructing general relativity (GR), is illuminated. The role of differential identities in this philosophy is clarified. The use of Bianchi identity to write the field equations of GR is shown. Another similar identity in the absolute parallelism geometry is given. A more general differential identity in the parameterized absolute parallelism geometry is derived. Comparison and interrelationships between the above mentioned identities and their role in constructing field theories are discussed.Comment: LaTeX file, 17 pages, comments and criticism are welcom