We review recent results on the anomalous fluctuation theory of stochastic Burgers, KPZ and the continuum directed polymer in one space dimension, obtained through the weakly asymmetric limit of the simple exclusion process. Mathematics Subject Classification (2000). Primary 82C22; Secondary 60H15.

In this paper, we prove a common fixed point theorem for weakly compatible maps in Menger space which generalizes the result of Kutukcu [6] without appeal to continuity on this space. We also cited an example in support of our result. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

MSC: primary 62H05 60E15 secondary 62M10 a b s t r a c t We generalize Hoeffding's lemma to apply to covariances between functions of several random variables. Our generalization leads to a new class of covariance inequalities involving the Vitali or Hardy–Krause variation. These inequalities are relevant to the study of weakly dependent processes. Published by Elsevier B.V.

We study a class of left-invertible operators which we call weakly concave operators. It includes the and some subclasses expansive strict $m$ -isometries with $m > 2$ . prove Wold-type decomposition for also obtain Berger–Shaw-type theorem analytic finitely cyclic The proofs these results rely heavily on spectral dichotomy provides fairly close relationship, written in terms reciprocal auto...

Inhibition evoked from primary afferents in the electrosensory lateral line lobe of the weakly electric fish (Apteronotus leptorhynchus). J. Neurophysiol. 80: 3173-3196, 1998. The responses of two types of projection neurons of the electrosensory lateral line lobe, basilar (BP) and nonbasilar (NBP) pyramidal cells, to stimulation of primary electrosensory afferents were determined in the weakly...