We consider the first passage percolation model on Z2. In this model, we assign independently to each edge e a passage time t(e) with a common distribution F . Let T (u, v) be the passage time from u to v. In this paper, we show that, whenever F (0) < pc, σ 2 (T ((0, 0), (n, 0))) ≥ C log n for all n ≥ 1. Note that if F satisfies an additional special condition, infsupp(F ) = r > 0 and F (r) > ~...

Different estimation methods for covariance parameters in meta-analyses can result in conflicting p-values concerning the test of treatment effect. We propose a valid method to overcome this problem at least partially by introducing a new estimator for the standard deviation of the common treatment difference.

Context. Charting the extent and amount of dark matter (DM) in the Universe is highly appealing but is equally hard since it is only through the interpretation of its effect that we can track the DM distribution. Given the implementational problems, it is non-trivial to quantify the effects of DM on the motion of individual test particles in an elliptical galaxy, with the aim of identifying its...

This essay discusses the relationship between the physiology of rhythms and potential functional roles. We focus on how the biophysics underlying different rhythms can give rise to different abilities of a network to form and manipulate cell assemblies. We also discuss how changes in the modulatory setting of the rhythms can change the flow of information through cortical circuits, again tying ...

This paper describes an hierarchical approach to WordNet sense distinctions that provides different types of automatic Word Sense Disambiguation (WSD) systems, which perform at varying levels of accuracy. For tasks where fine-grained sense distinctions may not be essential, an accurate coarse-grained WSD system may be sufficient. The paper discusses the criteria behind the three different level...

We attempt to uncover the latent biases in different narratives on Wikipedia by investigating the link structure of the within-Wikipedia link graphs generated from a seed article of interest. The case study presented in this report is the Wikipedia article entitled “ArabIsraeli Conflict”. We perform three experiments on this dataset: 1) hierarchical clustering on personalized PageRank vectors f...