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- Christophe Soulé
- 2004

We discuss properties which must be satisfied by a genetic network in order for it to allow differentiation. These conditions are expressed as follows in mathematical terms. Let $F$ be a… (More)

- Marcelle Kaufman, Christophe Soulé, René Thomas
- Journal of theoretical biology
- 2007

We consider a dynamical system, described by a system of ordinary differential equations, and the associated interaction graphs, which are defined using the matrix of signs of the Jacobian matrix.… (More)

We propose a definition of varieties over “the field with one element”, a notion which had been imagined by Tits, Manin and others. Such a variety has an extension to the integers which is a usual… (More)

Let X be a smooth complex projective manifold and H(X,Z) its singular cohomology group of degree n, with integral coefficients. Given a torsion class α ∈ H(X,Z), can we say that this class α is… (More)

In this paper we show how to write any variety over a field of characteristic zero as the difference of two pure motives, thus answering a question asked by Serre (in arbitrary characteristic, [Se]… (More)

- Rhona S. Weinstein, Christophe Soulé, Fiona M Collins, Jim Cone, M Mehlhorn, K Simontacchi
- American journal of community psychology
- 1991

Describes the multilevel outcomes of a collaborative preventive intervention for ninth-graders at risk for school failure using qualitative and quasi-experimental methods. Teachers, administrators,… (More)

- Christophe Soulé
- Comptes rendus biologies
- 2006

We consider some mathematical issues raised by the modelling of gene networks. The expression of genes is governed by a complex set of regulations, which is often described symbolically by… (More)

- Christophe Soulé
- 2004

Let X be a semi-stable arithmetic surface over the spectrum S of the ring of integers in a number field K. We assume that the generic fiber X K is geometrically irreducible and has positive genus.… (More)

1.1. Let n ≥ 2 be an integer, let Vn be the vector space of n by n real symmetric matrices, and let Cn ⊂ Vn be the open cone of all positive definite symmetric matrices. The group R+ of positive real… (More)

I. A Grothendieck group. LI. Let X be a complex manifold. For any p e N let A'(X) be the space of real (p,p) forms over X. Let A(X) = © p > 0 A '(X), and A(X) = A(X)/(lm(d) +Im(<9)), where d = d + d… (More)