Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of currents groups.
Energy machineries on a manifold; application to the construction of new energy representations of Gauge groups.
The introduction of the concepts of energy machinery and energy structure on a manifold makes it possible a large class of energy representations of gauge groups including, as a very particular case, the ones known up to now. By using an adaptation of methods initiated by I. M. Gelfand, we provide a sufficient condition for the irreducibility of these representations.
Learning discrete categorial grammars from structures
We define the class of discrete classical categorial grammars, similar in the spirit to the notion of reversible class of languages introduced by Angluin and Sakakibara. We show that the class of discrete classical categorial grammars is identifiable from positive structured examples. For this, we provide an original algorithm, which runs in quadratic time in the size of the examples. This work extends the previous results of Kanazawa. Indeed, in our work, several types can be associated to a word...
Regular Fréchet-Lie groups of invertible elements in some inverse limits of unital involutive Banach algebras.
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