We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to canonical parallel networks where a single node has access to local decisions from all other nodes, each node can only exchange information with its direct neighbors in the present setting. We establish that, with each node employing an identical one-bit quantizer for local informat...

River networks exhibit a complex ramified structure that has inspired decades of studies. However, an understanding of the propagation of a single stream remains elusive. Here we invoke a criterion for path selection from fracture mechanics and apply it to the growth of streams in a diffusion field. We show that, as it cuts through the landscape, a stream maintains a symmetric groundwater flow ...

We study asymptotic performance of distributed detection in large scale connected sensor networks. Contrasting to canonical parallel networks where a single node has access to local decisions from all other nodes, each node can only exchange information with its direct neighbors in the present setting. We establish that, with each node employing an identical one-bit quantizer for local informat...

A major problem associated with the reverse engineering of genetic networks from micro-array data is how to reliably 5nd genetic interactions when faced with a relatively small number of arrays compared to the number of genes. To cope with this dimensionality problem, it is imperative to employ additional (biological) knowledge about real genetic networks, such as limited connectivity, redundan...

All yield criteria that determine the onset of plastic deformation in crystalline materials must be invariant under inversion symmetry associated with a simultaneous change sign slip direction and plane normal. We demonstrate consequences this on functional form effective stress, where only lowest order terms obey are retained. A particular criterion is obtained for do not Schmid law, hereafter...