New Scaling Limits and Other Recent Developments in Probability

概率论中出现的新的标度极限(SLE、随机矩阵、凝聚和碎裂、SPDE)已经在一系列令人印象深刻的理论发展和应用中证明了它们的相关性。他们的国际认可可能最好地体现在最近授予沃纳的菲尔兹奖，以表彰他在SLE方面的工作。英国的概率学家迫切需要了解这一新兴理论的清晰陈述，因为它的发展将是21世纪初概率理论的主要特征之一，而且随着我们发现如何利用新的建模能力，这些想法将对广泛的应用概率产生重大影响是合理的。拟议中的研讨会将为英国研究人员与参观研讨会的专家合作提供强大的机会。它还将为来自不同专业领域的不同视角的研究人员交流思想和技术提供宝贵的机制。我们预计这将导致(A)英国进一步参与发展理论，(B)研究新的应用。关键词凝聚和碎裂，随机矩阵，Schramm-Loewner发展，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