Transformation de Fourier sur les espaces $\ell^p(L^p)$

Zéro-cycles de degré un sur les espaces homogènes

We explain how to build homogeneous spaces of a connected linear algebraic group, having zero-cycles of degree one but no rational point, even on a smooth compactification. Thus, we give a negative answer to a recent question asked by Burt Totaro. Parimala ([Pa]) has independently produced such spaces over fields of the type k((t)) (for k a suitable p-adic field), which are projective varieties...

Etat actuel de nos connaissances sur les argasidés de l'Iran

Sur Les Applications De Lattès De P

Let f be a polynomial endomorphism of degree d ≥ 2 of C k (k ≥ 2) which extends to a holomorphic endomorphism of P k. Assume that the maximal order Julia set of f is laminated by real hypersurfaces in some open set. We show that f is homogenous and is a polynomial lift of a Lattès endomorphism of P k−1 .

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...

Remarques sur les Langages de Parenthèses

La famille des langages de parentheses est une giniralisation judicieuse (due % Takahashi [9]) de la famille des langages parenthetiques. En effet, pour cette famille qui jouit de nombreuses prorriitis de cloture (comme la cloture par intersection, par exemple), Takahashi itend ies rksultaas connus sur les parenthetiques pour decider de l’iquivaience [9]. A i’inverse, nous prouvons ici que la f...