New Scaling Limits and Other Recent Developments in Probability

新的缩放极限和概率的其他最新发展

• 批准号: EP/F029950/1
• 负责人: Wilfrid Kendall
• 金额: $ 3.46万
• 依托单位: University of Warwick
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2008
• 资助国家: 英国
• 起止时间: 2008 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FF029950%2F1
• 关键词: New; Scaling; Limits; Other; Recent

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

概率出现的新扩展极限（SLE，随机矩阵，凝结和碎片化，SPDE）已经证明了它们在理论发展和应用的印象中的相关性。他们在SLE上的作品最近获得了田野勋章奖章的奖项，可以最好地说明他们的国际认可。迫切需要英国概率的人对新兴理论的清晰演讲，因为它的增长将成为21世纪初期概率理论的主要特征之一，并且由于这些想法将在我们发现如何在访问方面提供强大的专业机会，因此可以合理地期望这些想法具有广泛的影响力概率。车间。它还将为具有不同观点的研究人员提供来自不同专业知识的不同观点来交流思想和技术的重要观点。我们希望这将导致（a）进一步参与发展理论，（b）对新应用的调查。关键单调和碎片化，随机矩阵，schramm-loewner进化，随机部分微分方程

项目成果

Singular perturbations to semilinear stochastic heat equations

半线性随机热方程的奇异扰动

• DOI: 10.1007/s00440-010-0322-7
• 发表时间: 2010
• 期刊: Probability Theory and Related Fields
• 影响因子: 2
• 作者: Hairer M

From random lines to metric spaces

从随机线到度量空间

• DOI: 10.1214/14-aop935
• 发表时间: 2017
• 期刊: The Annals of Probability
• 作者: Kendall W

Geodesics and flows in a Poissonian city

泊松城市中的测地线和流动

• DOI: 10.1214/10-aap724
• 发表时间: 2011
• 期刊: The Annals of Applied Probability
• 作者: Kendall W

Lines and networks

线路和网络

• 发表时间: 2014
• 期刊: Markov Processes and Related Fields
• 影响因子: 0.2
• 作者: Kendall, W S