In the standard Random Surfer Model, the teleportation matrix is necessary to ensure that the final PageRank vector is well-defined. The introduction of this matrix, however, results in serious problems and imposes fundamental limitations to the quality of the ranking vectors. In this work, building on the recently proposed NCDawareRank framework, we exploit the decomposition of the underlying ...

Abstract We theoretically and computationally study the low-Reynolds-number hydrodynamics of a linear active microswimmer surfing on compressible thin fluid layer characterized by an odd viscosity. Since underlying three-dimensional is assumed to be very compared any lateral size layer, model effectively two-dimensional. In limit small viscosity even viscosities we obtain analytical expressions...

Leclercia adecarboxylata infection is rarely reported in the context of human infections. In the scant cases reported in the literature, it usually involves individuals who are immunocompromised with infections of a polymicrobial nature. Recently, data have begun to accumulate suggesting that L. adecarboxylata is a pathogen associated with water environments. We review the literature regarding ...

We give an explicit polynomial of degree 14 in three real variables x, y and z such that the zero set gives the solid trefoil knot. The polynomial depends on two further parameters which enable a deformation from an embedded torus. We use only elementary methods such that the proofs are also accessible to graduate math work groups for pupils in secondary schools. The results can be easily visua...

In nature we can see and hear the ocean waves as they swell, crest, and crash, rushing forward and then receding backward. An experienced surfer rides the waves and gracefully balances while rising with the swell and crest, and then just as gracefully lands with the wave’s denouement. Similarly, we can see and hear trees as they sway back and forth with the wind, and we can feel the wind blowin...

Estimating influence of a node is an important problem in social network analyses. We address this problem in a particular class of model for opinion propagation in which a node adopts its opinion based on not only its direct neighbors but also the average opinion share over the whole network, which we call an extended Voter Model with uniform adoption (VM). We found a similarity of this model ...

Traditional ranking models used in Web search engines rely on a static snapshot of the Web graph, basically the link structure of the Web documents. However, visitors’ browsing activities indicate the importance of a document. In the traditional static models, the information on document importance conveyed by interactive browsing is neglected. The nowadays Web server/surfer model lacks the abi...

Websites usually appear to the web surfer like isolated islands: Their self-description and their hyperlinks linking to other sites reflect solely the requirements, opinion and preferences of the respective site owner, there is no explicit relation to the information, service and product offers of competing sites, and the assessment of the site by other users is unknown as well. In contrast to ...

In this paper, we first extend the celebrated PageRank modification to a higher-order Markov chain. Although this system has attractive theoretical properties, it is computationally intractable for many interesting problems. We next study a computationally tractable approximation to the higher-order PageRank vector that involves a system of polynomial equations called multilinear PageRank. This...