ELIE-minating poverty? Limits of the mechanism and potential improvements

Using French data, we show that ELIE performs rather weakly when it comes to addressing the issue of poverty. Yet, eliminating poverty is also a valid normative property of any redistribution mechanism. We suggest combining ELIE with another redistributive solution aimed specifically at alleviating poverty: the personal allowance (PERAL) mechanism (Leroux, 2004 and 2007). We argue that ELIE and the PERAL mechanism, more than being compatible, are in fact complementary.

On representations of braid groups determined by directed graphs

We show that the two coproducts of a Markov $L$-coalgebra yield at least two solutions of the Yang-Baxter equation and thus at least two representations of braid groups

On some remarkable operads constructed from Baxter operators

Language theory, symbolic dynamics, modelisation of viral insertion into the genetic code of a host cell motivate the introduction of new types of bialgebras whose coalgebra parts are not necessarily coassociative. One of the aim of this article is to study what type of (associative) algebras (and thus binary quadratic and non-symmetric operads) appear when such or such coalgebraic structures are used to decribe for instance combinatorial objects such as weighted directed graphs, trees, substitutions and so forth.Comment: 45 pages, 4 figure