37th Conference on Stochastic Processes and their Applications

第37届随机过程及其应用会议

• 批准号: 1407743
• 负责人: Srinivasa Varadhan
• 金额: $ 3万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-03-01 至 2017-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1407743&HistoricalAwards=false
• 关键词: 37th; Conference; Stochastic; Processes; their

This award supports the participation of approximately twenty young U.S. researchers in the 37th Conference on Stochastic Processes and their Applications (SPA), to be held July 28-August 1, 2014, in Buenos Aires, Argentina. The meeting is organized under the auspices of the Bernoulli Society of the International Statistics Institute, and co-sponsored by the Institute of Mathematical Statistics. SPA conferences traditionally cover a wide range of current research topics in theoretical and applied probability, stochastic processes and statistical mechanics. The core of the present edition consists of scaling limits for random processes in discrete space, like interacting particle systems and models from Statistical Physics. Models such as exclusion processes, percolation and Ising give rise to continuum objects governed by PDEs or SPDEs, with the KPZ equation and the SLE emerging as the most relevant limiting objects. More applied topics as neuroscience and mathematic models for adaptive dynamics are also well represented, as well as Boltzmann equations, aging, hydrodynamic limits and spin glasses. In addition to plenary lectures by distinguished speakers there will time for young researchers, post docs and graduate students to present their results and interact with each other and with the experts.Stochastic modeling has become ubiquitous these says. Realistic modeling is done at the smallest scale where it is easy to understand the physical process. But questions are often asked about what happens in a much larger scale. The transition involves a scaling limit and in this process certain universal behavior emerges. Different models at the micro level exhibit similar qualitative behavior at the macro scale. This notion of universality is important to understand from a mathematical point of view. The noise or randomness present at the micro level, while it is often suppressed in large scales, sometimes persists. When it does, the statistics of this noise shows a universal behavior, and it is important to understand what to expect in a given situation. There has been considerable progress recently along these lines and this has created a buzz. The conference will provide a forum for learning and exchanging ideas about them.Meeting web site: mate.dm.uba.ar/~probab/spa2014/about.html

该奖项支持大约20名年轻的美国研究人员参加将于2014年7月28日至8月1日在阿根廷布宜诺斯艾利斯举行的第37届随机过程及其应用会议（SPA）。会议由国际统计学会伯努利学会主办，数理统计学会协办。SPA会议传统上涵盖了广泛的理论和应用概率，随机过程和统计力学的当前研究课题。当前版本的核心包括离散空间中随机过程的标度极限，如相互作用的粒子系统和统计物理学模型。模型，如排斥过程，渗流和伊辛产生的连续体对象由偏微分方程或随机偏微分方程，与KPZ方程和SLE出现最相关的限制对象。更多的应用主题，如神经科学和自适应动力学的数学模型，以及玻尔兹曼方程，老化，流体力学极限和自旋眼镜也很好地代表。除了杰出演讲者的全体演讲外，还将有时间让年轻的研究人员，博士后和研究生展示他们的成果，并与彼此和专家进行互动。随机建模已经变得无处不在。 逼真的建模是在最小的尺度上完成的，在那里很容易理解物理过程。但人们经常会问，在更大的范围内会发生什么。这种转变涉及到一个尺度极限，在这个过程中出现了某种普遍的行为。微观层次上的不同模型在宏观尺度上表现出相似的定性行为。从数学的角度来理解这个普遍性的概念是很重要的。在微观层面上存在的噪声或随机性，虽然在大尺度上经常受到抑制，但有时会持续存在。 当它发生时，这种噪声的统计数据显示出一种普遍的行为，重要的是要了解在给定情况下会发生什么。 最近在这方面已经取得了相当大的进展，沿着这些路线，这已经引起了轰动。会议将提供一个学习和交流的论坛 会议网址：mate.dm.uba.ar/~probab/spa2014/about.html