New Scaling Limits and Other Recent Developments in Probability

新的标度极限出现在概率（SLE，随机矩阵，凝聚和碎裂，SPDE）已经证明了它们的相关性在一个令人印象深刻的理论发展和应用范围。他们的国际认可可能是最好的说明，最近授予菲尔兹奖沃纳对系统性红斑狼疮的工作。有一个迫切需要英国概率学家接触到新兴理论的明确介绍，因为它的增长将是21世纪初世纪概率论的主要特征之一，因为我们有理由期待，随着我们发现如何利用建模的新能力，这些想法将对广泛的应用概率产生重大影响。拟议中的研讨会将为英国研究人员提供强有力的机会，与参观研讨会的专家合作。它也将为来自不同专业领域的不同观点的研究者提供一个交流思想和技术的宝贵机制。我们希望这将导致（a）英国进一步参与理论发展，（B）研究新的应用.关键词凝聚和碎裂，随机矩阵，Schramm-Loewner演化，随机偏微分方程

New scaling limits appearing in probability (SLE, random matrices, coagulationand fragmentation, SPDE) have already demonstrated their relevance in an impressiverange of theoretical developments and applications. Their internationalrecognition may be best illustrated by the recent award of the Fields medal toWerner for his work on SLE. There is a pressing need for UK probabilists tobe exposed to clear presentations of the emerging theory, since its growth willbe one of the dominant features of early 21st century probability theory, andbecause it is reasonable to expect that these ideas will have a major impacton wide ranges of applied probability as we discover how to exploit the newcapacity for modelling.The proposed workshop will provide strong opportunities for UK researchersto collaborate with experts visiting the workshop. It will also provide a valuablemechanism for researchers with different perspectives coming from the differentareas of expertise to exchange ideas and techniques. We expect this to resultin (a) further UK engagement in developing theory, (b) investigations of newapplications.KeywordsCoagulation and fragmentation, random matrices, Schramm-Loewner evolution,stochastic partial differential equations