When are Zariski chambers numerically determined?

The big cone of every smooth projective surface $X$ admits the natural decomposition into Zariski chambers. The purpose of this note is to give a simple criterion for the interiors of all Zariski chambers on $X$ to be numerically determined Weyl chambers. Such a criterion generalizes the results of Bauer-Funke on K3 surfaces to arbitrary smooth projective surfaces. In the last section, we study the relation between decompositions of the big cone and elliptic fibrations on Enriques surfaces.Comment: 7 page

Adaptive Document Maps

Abstract. As document map creation algorithms like WebSOM are computationally expensive, and hardly reconstructible even from the same set of documents, new methodology is urgently needed to allow to construct document maps to handle streams of new documents entering document collection. This challenge is dealt with within this paper. In a multi-stage process, incrementality of a document map is warranted. 1 . The architecture of the experimental system allows for comparative evaluation of different constituent technologies for various stages of the process. The quality of the map generation process has been investigated based on a number of clustering and classification measures. Some conclusions concerning the impact of incremental, topic-sensitive approach on map quality are presented

An extension of data automata that captures XPath

Vol. 8 (1:05) 2012, pp. 1–28 www.lmcs-online.or

Trust models for community aware identity management

[No abstract available]Not peer reviewe

Mining Document Maps

Abstract. This paper report on an ongoing research in improvement of WebSOM document clustering and presentation techniques. Several modifications of clustering techniques have been suggested and their impact on clustering of documents within the WebSOM framework has been investigated

BEATCA: map-based intelligent navigation in WWW

Abstract. In our research work, we explore the possibility to exploit incremental, navigational maps to build visual search-and-recommendation system. Multiple clustering algorithms may reveal distinct aspects of the document collection, just pointing to various possible meanings, and hence offer the user the opportunity to choose his/her own most appropriate perspective. We hope that such a system would become an important step on the way to information personalization. The paper presents the architectural design of our system

Algorithm for the remote sensing of the Baltic ecosystem (DESAMBEM). Part 1: Mathematical apparatus

This article is the first of two papers on the remotesensing methods of monitoring the Baltic ecosystem, developedby our team. Earlier, we had produced a series of detailed mathematicalmodels and statistical regularities describing the transportof solar radiation in the atmosphere-sea system, the absorptionof this radiation in the water and its utilisation in a varietyof processes, most importantly in the photosynthesis occurringin phytoplankton cells, as a source of energy for the functioningof marine ecosystems. The comprehensive DESAMBEM algorithm, presentedin this paper, is a synthesis of these models and regularities.This algorithm enables the abiotic properties of the environmentas well as the state and the functioning of the Baltic ecosystemto be assessed on the basis of available satellite data. It canbe used to determine directly a good number of these properties:the sea surface temperature, the natural irradiance of the seasurface, the spectral and spatial distributions of solar radiationenergy in the water, the surface concentrations and verticaldistributions of chlorophyll~{it a} and other phytoplanktonpigments in this sea, the radiation energy absorbed by phytoplankton,the quantum efficiency of photosynthesis and the primary productionof organic matter. On the basis of these directly determinedproperties, other characteristics of processes taking place inthe Baltic ecosystem can be estimated indirectly. Part 1 of this series of articles deals with the detailedmathematical apparatus of the DESAMBEM algorithm. Part 2 willdiscuss its practical applicability in the satellite monitoringof the sea and will provide an assessment of the accuracy ofsuch remote sensing methods in the monitoring of the Baltic ecosystem(see Darecki et~al. 2008 -- this issue)