Peripheral neuropathies often result in abnormalities in the structure of internodal myelin, including changes in period and membrane packing, as observed by electron microscopy (EM). Mutations in the gene that encodes the major adhesive structural protein of internodal myelin in the peripheral nervous system of humans and mice--P0 glycoprotein--correlate with these defects. The mechanisms by w...

Following the construction of the κ-Minkowski space from the bicrossproduct structure of the κ-Poincare group, we investigate possible differential calculi on this noncommutative space. We discuss then the action of the Lorentz quantum algebra and prove that there are no 4D bicovariant differential calculi, which are Lorentz covariant. We show, however, that there exist a fivedimensional differ...

We compute in next-to-leading order (NLO) perturbative QCD the transverse energy carried into the central rapidity unit of hadron or nuclear collisions by the partons freed in the few-GeV subcollisions. The formulation is based on a rapidity window and a measurement function of a new type. The behaviour of the NLO results as a function of the minimum transverse momentum and as a function of the...

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. Such a distribution corresponds to a bimodal added to a probability p0 for a field dilution, in such a way that at each site the field hi obeys P (hi) = p+δ(hi−h0)+p0δ(hi)+p−δ(hi+h0). The model is studied through the replica method an...

In various frameworks, to assess the joint distribution of a kdimensional random vector X = (X1, . . . , Xk), one selects some putative conditional distributions Q1, . . . , Qk. Each Qi is regarded as a possible (or putative) conditional distribution for Xi given (X1, . . . , Xi−1, Xi+1, . . . , Xk). The Qi are compatible if there is a joint distribution P for X with conditionals Q1, . . . , Qk...

We prove that there exists an integer p0 such that X split (p)(Q) is made of cusps and CM-points for any prime p > p0. Equivalently, for any non-CM elliptic curve E over Q and any prime p > p0 the image of Gal(¯ Q/Q) by the representation induced by the Galois action on the p-division points of E is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an ol...

Lattices that can be represented in a kagomé-like form are shown to satisfy a universal percolation criticality condition, expressed as a relation between P3 , the probability that all three vertices in the triangle connect, and P0 , the probability that none connect. A linear approximation for P3(P0) is derived and appears to provide a rigorous upper bound for critical thresholds. A numericall...

Kano et al. proved that if P0, P1, . . . , Pk−1 are pairwise disjoint collections of points in general position, then there exist spanning trees T0, T1, . . . , Tk−1, of P0, P1, . . . , Pk−1, respectively, such that the edges of T0 ∪ T1 ∪ · · · ∪ Tk−1 intersect in at most (k − 1)n − k(k − 1)/2 points. In this paper we show that this result is asymptotically tight within a factor of 3/2. To prov...

For a graph G, let pi (G), i = 0, ...,3 be the probability that three distinct random vertices span exactly i edges. We call (p0(G), ..., p3(G)) the 3-local profile of G. We investigate the set S3 ⊂ R4 of all vectors (p0, ..., p3) that are arbitrarily close to the 3-local profiles of arbitrarily large graphs. We give a full description of the projection of S3 to the (p0, p3) plane. The upper en...

P0, the major protein of peripheral nerve myelin, mediates membrane adhesion in the spiral wraps of the myelin sheath. We have determined the crystal structure of the extracellular domain from P0 (P0ex) at 1.9 A resolution. P0ex is folded like a typical immunoglobulin variable-like domain; five residues at the C-terminus are disordered, suggesting a flexible linkage to the membrane. The require...