Equivariant Euler characteristics and -homology Euler classes for proper cocompact -manifolds.
Equivariant harmonic maps between manifolds with metrics of -signature
Equivariant harmonic maps into the sphere via isoparametric maps.
Equivariant Jets.
Equivariant maps of joins of finite G-sets and an application to critical point theory
A lower estimate is proved for the number of critical orbits and critical values of a G-invariant C¹ function , where G is a finite nontrivial group acting freely and orthogonally on . Neither Morse theory nor the minimax method is applied. The proofs are based on a general version of Borsuk’s Antipodal Theorem for equivariant maps of joins of G-sets.
Equivariant spectral triples
We present the review of noncommutative symmetries applied to Connes' formulation of spectral triples. We introduce the notion of equivariant spectral triples with Hopf algebras as isometries of noncommutative manifolds, relate it to other elements of theory (equivariant K-theory, homology, equivariant differential algebras) and provide several examples of spectral triples with their isometries: isospectral (twisted) deformations (including noncommutative torus) and finite spectral triples.
Ergodicité de fonctions propres pour des problèmes aux limites
Ergodicité et fonctions propres du laplacien
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering only solutions which are independent of the space variable. This simplification leads to a degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying this equation, we prove existence and non-uniqueness of invariant probability measures for the original problem and obtain also results on attractivity towards an invariant measure. We also...
Errata to the paper "On a functional equation satisfied by certain Dirichlet series" (Acta Arith. 71 (1995), 265-272)
Errata to the Paper: On the Heat Equation and the Index Theorem.
Errata-Corrigé : «Remarques sur les équations de Navier-Stokes stationnaires»
Erratum
Erratum: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
Erratum : «Approximation par la diffusion et automorphismes hyperboliques du tore»
Erratum : “Closed transverse -forms on compact complex manifolds”
Erratum: Geometry of the Rolling Ellipsoid
Erratum: Heat diffusion on homogeneous trees. Note on a paper by G. Medolla and A. G. Setti: Long time heat diffusion on homogeneous trees
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)
Erratum: Spectra of Compact Locally Symmetric Manidfolds of Negative Curvature.