Erik Boulatov, Espaces de liberté : écrits

Espaces de représentations complètement réductibles

We study some geometric properties of actions on nonpositively curved spaces related to complete reducibility and semisimplicity, focusing on representations of a finitely generated group Γ in the group G of rational points of a reductive group over a local field, acting on the associated space (symmetric space or affine building). We prove that the space of completely reducible classes is the ...

Notion de liberté en statistique mathématique

Genèse de la psychiatrie. Les premiers écrits de Philippe Pinel

cannot tell, just by looking at it, what the status of the work is. Comparison with the Latin and with earlier translations reveals that it can lay claim only to being a "version", and a very idiosyncratic one at that. Certainly it makes reasonably smooth reading, but if we are interested in what Harvey said or meant, it will still be necessary to go back to the Latin; and going back to the Lat...

Outilex, plate-forme logicielle de traitement de textes écrits

The Outilex software platform, which will be made available to research, development and industry, comprises software components implementing all the fundamental operations of written text processing : processing without lexicons, exploitation of lexicons and grammars, language resource management. All data are structured in XML formats, and also in more compact formats, either readable or bina...

Itération D’applications Rationnelles Dans Les Espaces De Matrices

The iteration of rational maps is well understood in dimension 1 but less so in higher dimensions. We study some maps on spaces of matrices which present a weak complexity with respect to the ring structure. First, we give some properties of certain rational maps; the simplest example is the rational map which sends the matrix M onto M2 for which we exhibit some dynamical properties. Finally, w...