Citation: Weiner AKM, Morard R, Weinkauf MFG, Darling KF, André A, Quillévéré F, Ujiie Y, Douady CJ, de Vargas C and Kucera M (2016) Methodology for Single-Cell Genetic Analysis of Planktonic Foraminifera for Studies of Protist Diversity and Evolution. Front. Mar. Sci. 3:255. doi: 10.3389/fmars.2016.00255 Methodology for Single-Cell Genetic Analysis of Planktonic Foraminifera for Studies of Pro...

Using quasiconformal surgery, we prove that any primitive, postcritically-finite hyperbolic polynomial can be tuned with an arbitrary generalized non-escaping critical points, generalizing a result of Douady-Hubbard for quadratic polynomials to the case higher degree polynomials. This solves affirmatively conjecture by Inou and Kiwi on surjectivity renormalization operator in one complex variab...

1. Introduction. To determine cohomology groups of holomorphic vector bundles or more general coherent analytic sheaves on complex manifolds is very important in several complex variables and complex geometry. For example, Cartan-Serre's theorem B and Kodaira's vanishing theorem are fundamental respectively in the studies of two classes of complex manifolds: Stein manifolds and projective algeb...

Renaud Bastien, 2, 3, 4, ∗ Bruno Moulia, 3 Stéphane Douady, and Tomas Bohr Institut Jean-Pierre Bourgin, UMR1318 INRA-AgroParisTech, 78026 Versailles, France INRA, UMR 547 PIAF, F-63100 Clermont Fd Cedex 01 Clermont Université, Université Blaise Pascal, UMR 547 PIAF, BP 10448, F-63000 Clermont-Ferrand Matière et Systèmes Complexes, Université Paris-Diderot, 10 rue Alice Domont et Léonie Duquet,...

The external arguments of the external rays theory of Douady and Hubbard is a valuable tool in order to analyze the Mandelbrot set, a typical case of discrete dynamical system used to study nonlinear phenomena. We suggest here a general method for the calculation of the external arguments of external rays landing at the hyperbolic components root points of the Mandelbrot set. Likewise, we prese...

Motivated by Wigner's theorem, a canonical construction is described that produces an Atiyah-Singer Dirac operator with both unitary and anti-unitary symmetries. This includes the for KR-theory as special case, filling long-standing gap in literature. In order to make construction, orientifold Spin-c-structures are defined classified using semi-equivariant Dixmier-Douady theory, analogues of se...

In the gap topology, unbounded self-adjoint Fredholm operators on a Hilbert space have third homotopy group integers. We realise generator explicitly, using family of Dirac half-line, which arises naturally in Weyl semimetals solid-state physics. A “Fermi gerbe” geometrically encodes how discrete spectral data interpolate between essential gaps. Its non-vanishing Dixmier–Douady invariant protec...

In two previous articles [Douady & Couder (1996a,b)] two iterative systems were defined, based respectively on hypotheses developed by Hofmeister (1868) and Snow & Snow (1952). It was shown that in the latter model all the variety of the spiral, whorled and multijugate patterns observed on botany could be obtained as steady regimes of the iteration. In this third article, several of the charact...