where Gn, denoted by Bn by Goncharov, is placed at degree 1. To save space we here only point out that Gn(F ) are quotient groups of Z[P 1 F ] and refer the interested readers to [G2, p.49] for the detailed definition of these groups. On the other hand, currently there are two versions of higher Chow groups available: simplicial and cubical, which are isomorphic (cf. [Le]). We will recall the c...

The second author fondly remembers how a number of years ago Paulo Ribenboim helped him to escape to the West and immediately upon his arrival welcomed him with beautiful lectures on the Galois group of the Pythagorean closure of Q. Ribenboim’s lectures, writings, and research have influenced us strongly, and in particular this paper reflects his influence on the choice of topics and our way of...

Data on New Zealand manufacturing plants are used to examine the impact of trade liberalisation on plant exit. Recent theories suggest that the prospect of a declining market might lead firms to strategic behaviour that causes low cost plants to exit first. This hypothesis is generally unsupported. Surviving plants were larger, lower cost, and were owned by specialised firms with few plants. Pl...

In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coefficients is considered. Using Bloch wave decomposition, a new proof of convergence is furnished. It sheds new light and offers an alternate way to view the classical results. In a natural way, this method leads us to work in the Fourier space and thus in a framewor...

Amalia Todiraşcu, Dan Tufiş, Ulrich Heid, Christopher Gledhill, Dan Ştefanescu, Marion Weller, François Rousselot 1 LILPA, Université Marc Bloch, Strasbourg, France, {todiras, gledhill}@umb.u-strasbg.fr RACAI, Romanian Academy, Bucharest, Romania, {tufis, danstef}@racai.ro IMS Stuttgart, Universität Stuttgart, Germany, {uli, wellerm}@ims.uni-stuttgart.de INSA Strasbourg, France, Francois.Rousse...

We prove that there is an absolute constants c1 > 0 such that for every {a0, a1, . . . , an} ⊂ [1, M ] , 1 ≤ M ≤ exp((1/64)n) , there are b0, b1, . . . bn ∈ {−1, 0, 1}

We study the transport in a Luttinger liquid coupled to a magnetic chain containing a Bloch domain wall. We compute the leading correction to the adiabatic limit of a long domain wall, which causes no scattering. We show that the problem is reminiscent of an impurity in a Luttinger liquid, but with a different dependence on the interaction parameters due to spin-flip scattering. For repulsive i...

MARCEL G. CLERC, SALIYA COULIBALY∗ and DAVID LAROZE† Departamento de F́ısica, Facultad de Ciencias F́ısicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile ∗Laboratoire de Cristallograplie et Physique Moléculaire (LACPM), UFR Sciences des Structures de la Matière et Technologies (UFR SSMT), Université de Cocody, Abidjan, Côte d’Ivoire †Instituto de Alta de Investigación, Unive...

Let g and φ be holomorphic maps on D such that φ(D) ⊂ D. Define Volterra composition operators Jg,φ and Ig,φ induced by g and φ as Jg,φf(z) = Z z 0 (f ◦ φ) (ζ) (g ◦ φ)′ (ζ) dζ and Ig,φf(z) = Z z 0 (f ◦ φ)′ (ζ) (g ◦ φ) (ζ) dζ for z ∈ D and f ∈ H(D), the space of holomorphic functions on D. In this paper, we characterize boundedness and compactness of these operators acting between weighted Bergm...