New Look at the Public Good Theory

A New Look at Mourre’s Commutator Theory

Mourre’s commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle (LAP) from a so called Mourre estimate. We provide a new interpretation of this result.

A New Look at the Position Operator in Quantum Theory

In standard quantum theory the momentum and position operators are on equal footing and wave functions in momentum and coordinate representations are related to each other by the Fourier transform. However, while the momentum operator is unambiguously defined as one of the operators of the symmetry algebra, the position operator has a physical meaning only in semiclassical approximation and sho...

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A New Look at Generalized Rewriting in Type Theory

Rewriting is an essential tool for computer-based reasoning, both automated and assisted. It is so because rewriting is a general notion that permits to model a wide range of problems and provides means to effectively solve them. In a proof assistant, rewriting can be used to replace terms in arbitrary contexts, generalizing the usual equational reasoning to reasoning modulo arbitrary relations...

A New Look at Fuzzy Theory Via Chu Spaces

We propose to use Chu categories as a general framework for uncertainty analysis, with a special attention to fuzzy theory. We emphasize the fact that by viewing fuzzy concepts as Chu spaces, we can discover new aggregation operators, and model interactions and relationship between fuzzy data; these possibilities are due, in essence, to the category structure of Chu spaces, and especially to th...