US Travel Support for IHP Trimester in Probability

这笔旅行补助金为美国研究人员参加亨利庞加莱三月在概率题为“无序系统，随机空间过程，和一些应用。"这三个月包括将于2015年1月至4月举行的四次会议。 数学和物理学等硬科学在未解决的新老问题上蓬勃发展。 最近，它们被要求集中处理传统上不属于其职权范围的问题，例如社会经济调查中出现的问题。 这种情况为油田的发展提供了新的机会。 这一系列会议为一系列科学界提供了一个场所，讨论这些有时有争议的话题，以发展一个共同的和有充分依据的科学理解。 无序系统和随机空间过程这两个研究领域近年来发展了方法和概念技能，以接近这些新的应用。三个月关注随机空间过程，无序系统和社会经济科学应用的研究。空间概率是研究在时空中扩展的大尺度随机结构。 无序系统是描述具有多个平衡状态的现象的自然环境，这种情况现在似乎是常态而不是例外。 关于社会经济系统的应用，主要主题将是基于强交互代理的模型，这是麦克法登离散选择理论（2000年诺贝尔经济学奖）的扩展。 要讨论的具体模型包括：聚合物模型和自相互作用行走;（动态演变）随机环境;二维模型扩展到随机Loewner演变;随机图，从简单的Poissonian度分布到无标度; Sherrington-Kirkpatrick模型;爱德华兹-安德森模型;分支/凝聚过程; 1 + 1维随机环境中的定向聚合物;和Kardar-Parisi-Zhang（KPZ）普适性类。该计划的网站是www.example.com

This travel grant provides support for US researchers participating in the Institute Henri Poincaré Trimester in Probability titled "Disordered Systems, Random Spatial Processes, and Some Applications." The trimester comprises four conferences that will take place between January and April 2015. Hard sciences such as mathematics and physics thrive on unsolved old and new problems. They have recently been called to focus on matters traditionally away from their realm, for instance on questions arising from socio-economic investigations. This situation presents a new opportunity for growth of the fields. This set of meetings provides a venue for a range of scientific communities to discuss these sometimes-controversial topics, toward development of a common and well-grounded scientific understanding. The two research areas of disordered systems and random spatial processes have developed in recent years the methodological and conceptual skills to approach these new applications.The trimester concerns studies of random spatial processes, disordered systems, and applications to socio-economic sciences. Spatial probability is concerned with the investigation of large-scale random structures extended in space-time. Disordered systems are a natural setting to describe phenomena with multiple equilibrium states, a situation that now appears to be the norm rather than an exception. Regarding applications to socio-economic systems, the main theme will be strongly interacting agent based models, which are extensions of the McFadden Discrete Choice theory (Nobel Prize in Economy, 2000). Specific models to be discussed include: Polymer models and self-interacting walks; random walks in a (dynamically evolving) random environment; two-dimensional models scaling to stochastic Loewner evolution; random graphs, from the simple Poissonian degree distribution to the scale-free; the Sherrington-Kirkpatrick model; the Edwards-Anderson model; branching/coagulation processes; directed polymers in random environment in 1+1 dimensions; and the Kardar-Parisi-Zhang (KPZ) universality class.The program website is http://www.ihp.fr/en/CEB/T1-2015