Let Xi,j , i, j = 1, ..., n, be independent, not necessarily identically distributed random variables with finite first moments. We show that the norm of the random matrix (Xi,j) n i,j=1 is up to a logarithmic factor of the order of E max i=1,...,n ∥∥(Xi,j)nj=1∥∥2 +E max i=1,...,n ∥∥(Xi,j)nj=1∥∥2 . This extends (and improves in most cases) the previous results of Seginer and Latała.

This review is meant to be an account of the properties of the infinitedimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a concise anthology of basic facts concerning Yangians and integrable systems, and to store a series of remarks, observations and proofs the author has collected i...

The secreted protein Hedgehog (Hh) acts a morphogen, forming a concentration gradient and controlling cell fate decisions in various developmental stages in many animals. In recent years, there has been significant interest in the role that glypicans play in Hh gradient formation and signalling; with various experimental studies demonstrating an effect on Hh transport, Hh stability and downstre...

We define and investigate a new class of Sǎlǎgean-type harmonic multivalent functions. we obtain coefficient inequalities, extreme points and distortion bounds for the functions in this class. 2000 Mathematics Subject Classification: 30C45, 30C50, 31A05.

In a recent paper by H.X. Cao, J.H. Zhang and Z.B. Xu a α-Lipschitz operator from a compact metric space into a Banach space A is defined and characterized in a natural way in the sence that F : K → A is a α-Lipschitz operator if and only if for each σ ∈ X∗ the mapping σoF is a α-Lipschitz function. The Lipschitz operators algebras L(K,A) and l(K,A) are developed here further, and we study thei...

In 1964 de Grouchy, Royer, Salmon, and Lamy described a deaf and mentally retarded microcephalic girl in whom the long arm of one No. 18 chromosome was about half its usual length. Since then two other microcephalic children, a boy and a girl, have been found to have this chromosome aberration (Lejeune, Berger, Lafourcade, and R6thore, 1966). Lejeune suggested on the basis of their findings tha...

Gilles de la Tourette syndrome is a heritable neuropsychiatric disorder. In order to determine the chromosomal localisation of the locus involved, genetic linkage studies were initiated in six extended families. The Gilles de la Tourette gene has been tentatively assigned to chromosome 18q22.1. In our present study no evidence for genetic linkage on chromosome 18 and chromosome 7 was obtained. ...

Some difficulties with the Counterfactual Theory of David K.Lewis (1941-2001) and its applications to the Causation Analysis have appeared. Among them, the Temporal Asymmetry. Many criticism appeared against the explanation given by Lewis, as in Horwich ́87; Price ́92 & ́96; Hausman ́98. Here, we will analyze the possibility of obtain a new function: the Asymmetry Level, by the intervention of Fuz...

The first event in atherogenesis is the extravasation of lipoproteins into the subintimal layers of arteries, where they are trapped by extracellular matrix molecules such as proteoglycans and undergo oxidative modifications that in turn lead to endothelial cell activation and local recruitment of inflammatory cells. The monocyte-derived macrophages transform into foam cells by an unlimited upl...

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