New random geometries and other recent developments in probability

在过去的十年里，出现了一系列新的随机对象，远远超出了经典的随机过程设置。这些物体的共同之处在于它们的几何性质：随机树、网络或曲线都将随机现象与特定的几何结构联合收割机结合起来。这一发展的相关性一方面表现在最近授予菲尔兹奖沃纳他的工作共形不变的随机曲线，另一方面由大量的兴趣随机网络模型来自广泛的科学学科从社会学到computerscience。有一个迫切需要probabilists在英国被暴露在清晰的介绍theemerging理论，因为它的增长已经是一个主导特征的概率论在本世纪初，因为这些新的模型显着提高了建模能力，在应用概率。

The last decade has seen the emergence of a range of new random objects well beyond the classical stochastic process setting. Common to these objects is their geometric nature: Random trees, networksor curves all combine the phenomenon of randomness with a specific geometric structure. The relevanceof this development is demonstrated on the one hand by the recent award of the Fields medal to Wernerfor his work on conformally invariant random curves, on the other hand by the huge amount of interest in random network models coming from a broad range of scientific disciplines from sociology to computerscience. There is a pressing need for probabilists in the UK to be exposed to clear presentations of theemerging theory, since its growth already is one of the dominant features of probability theory at the beginning of this century, and because these new models significantly enhance the modelling capacities inapplied probability.