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Forward performance processes were introduced by Musiela and Zariphopoulou, which complement the classical expected utility paradigm where the utility is a deterministic function chosen at maturity, and there is little flexibility to incorporate updating of risk preferences, rolling horizons, learning and other realistic "forward in nature" features. Forward performance processes alleviate these shortcomings and offer a construction of a genuinely dynamic mechanism for evaluating the performance of investment strategies as the market evolves. In this talk, we show how to representant forward performance processes in terms of ergodic BSDE, and their connection with ergodic stochastic control.

This talk puts forward some applications of Poincare-Birkhoff / Moser twist theorem on periodic solutions and quasi-periodic solutions to discontinuous differential systems.

Instantons are connections which are critical points of the Yang-Mills energy functional. Instantons in four dimensions have been a popular subject for nearly forty years, but there is now growing interest in instantons in higher dimensions. This talk will focus on dimensions six and seven, and the relationships between them. After explaining why these dimensions are important, I will show how to construct some instantons on six-dimensional nearly Kaehler manifolds and how to analyse their stability.

Instantons are connections which are critical points of the Yang-Mills energy functional. Instantons in four dimensions have been a popular subject for nearly forty years, but there is now growing interest in instantons in higher dimensions. This talk will focus on dimensions six and seven, and the relationships between them. After explaining why these dimensions are important, I will show how to construct some instantons on six-dimensional nearly Kaehler manifolds and how to analyse their stability.

題目: Cyclic Workflow Resource Requirement Analysis and Application in Healthcare报告人: 王加存教授, 蒙莫斯大学，美国摘要: Resource-oriented workflow nets are an efficient formalism in modeling workflows and analyzing their resource requirements. Resource requirements analysis for general workflows can be done through reachability analysis. For a class of well-structured acyclic workflows, a fa...

This talk consider the effect of media coverage and the carry capacity of local hospital on the spreading of infectious disease. The number of patients need to be treated may exceed the carry capacity of the local hospitals during the spreading of a severe infectious disease. We propose models with general and saturation recovery from infective individuals to understand their effect on the emergency disease control. It is shown that saturation recovery from infective individuals leads to vital dynamics, such as bistability and periodicity, when the basic reproduction number is less than unity.

As we know, there are many systems undergoing different kinds of snaking bifurcations, such as slanted snaking, collapsed snaking etc., and isola bifurcations including a stack of isolas and a nested of isolas. In this talk, we will focus on the existence of snakes and isolas of a non-symmetric system. Conditions are derived that guarantee snaking or result in diagrams that either consist entirely of isolas.

In real-life application, multiple graphs clustering have been shown a great clustering performance by exploiting heterogeneous information from various correlated graphs. Leveraging inter-relations information among different graphs has also been demonstrated an effective way to achieved better clustering result. In this talk, we discuss some recent results for multiple graphs clustering. Experimental results on both synthetic data sets and real data sets are also presented to illustrate the discussion.