Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Soule, Christophe"'
Autor:
Kaufman, Marcelle, Soulé, Christophe
Publikováno v:
Journal of Theoretical Biology, Elsevier, In press, 465, pp.126-133
We present a new conjecture about a necessary condition that a (bio)chemical network has to satisfy for it to exhibit multistationarity. According to a Theorem of Feliu and Wiuf [27, 12], the conjecture is known for strictly monotonic kinetics. We gi
Externí odkaz:
http://arxiv.org/abs/1903.06499
Publikováno v:
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 25, 2018,p.1
A model of morphogenesis is proposed based on seven explicit postulates. The mathematical import and biological significance of the postulates are explored and discussed.
Externí odkaz:
http://arxiv.org/abs/1802.06827
Autor:
Soule, Christophe
Given a euclidean lattice and a curve in the corresponding projective space, our goal is to relate the height of the curve to the successive minima of the lattice. The proof of such a statement in http://hal.archves-ouvertes.vf/hal-00270564 was incor
Externí odkaz:
http://arxiv.org/abs/1207.6633
For N=5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoi cell complexes attached to the modular groups SL_N(\Z) and GL_N(\Z). From this we deduce the rational cohomology of those groups.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1001.0789
Autor:
Gillet, Henri, Soulé, Christophe
We associate weight complexes of (homological) motives, and hence Euler characteristics in the Grothendieck group of motives, to arithmetic varieties and Deligne-Mumford stacks; this extends the results in the paper "Descent, Motives and K-theory" in
Externí odkaz:
http://arxiv.org/abs/0804.4853
Autor:
Soule, Christophe
Publikováno v:
ComplexUs 1 (2003) 123-133
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 differentiable mapping from a finite dimensional real vector sp
Externí odkaz:
http://arxiv.org/abs/q-bio/0403033
Autor:
Soule, Christophe
Arithmetic groups are groups of matrices with integral entries. We shall first discuss their origin in number theory (Gauss, Minkowski) and their role in the "reduction theory of quadratic forms". Then we shall describe these groups by generators and
Externí odkaz:
http://arxiv.org/abs/math/0403390
Autor:
Soulé, Christophe
We propose a definition of varieties over the field with one element. These have extensions of scalars to the ring of integers which are varieties in the usual sense. We show that toric varieties can be defined over the field with one element. We als
Externí odkaz:
http://arxiv.org/abs/math/0304444
Autor:
Soulé, Christophe
Publikováno v:
Proceedings of the ICM, Beijing 2002, vol. 1, 99--103
Vladimir Voevodsky was born in 1966. He studied at Moscow State University and Harvard university. He is now Professor at the Institute for Advanced Study in Princeton. Among his main achievements are the following: he defined and developed motivic c
Externí odkaz:
http://arxiv.org/abs/math/0212418
For N=5 and N=6, we compute the Voronoi cell complex attached to real N-dimensional quadratic forms, and we obtain the homology of GL_N(Z) with trivial coefficients, up to small primes. We also prove that K_5(Z) = Z and K_6(Z) has only 3-torsion.
Externí odkaz:
http://arxiv.org/abs/math/0207067