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We consider consecutive random subdivision of polygons described as follows. Given an initial convex polygon with d≥3 edges, we choose a point at random on each edge, such that the proportions in which these points divide edges are i.i.d. copies of some random variable ξ. These new points form a new (smaller) polygon. By repeatedly implementing this procedure we obtain a sequence of random polygon
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Start with a graph with a subset of vertices called {\it the border}. A particle released from the origin performs a random walk on the graph until it comes to the immediate neighbourhood of the border, at which point it joins this subset thus increasing the border by one point. Then a new particle is released from the origin and the process repeats until the origin becomes a part of the border it
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Teologin och pedagogiken hör ihop. I följande artikel visas likheter och olikheter mellan katekestraditionen och de nutida böckerna från Svenska kyrkan. Dessa didaktiskt-metodiska program innebär ett systemskifte i kyrkans undervisning, menar författaren, som sedan 1992 är professor i kyrko- och samfundsvetenskap vid Lunds universitet. Artikeln är en utvidgning av Selanders installationsföreläsnin