In a recent paper by Chen (2013) the limit law of the iterated logarithm for the partial sums of i.i.d. real-valued random variables has been established. In this note we look at the corresponding problem in the Banach space setting. Letbe a real separable Banach space with topological dual . Let be a sequence of i.i.d. -valued random variables and set and ，. We show that provided that其中and is the unit ball of .

In multiple therapeutic areas of drug development, such as oncology and infectious diseases (HIV, influenza vaccines), the combined use of multiple drugs is an important strategy to achieve greater therapeutic success. We present a novel design methodology for efficient design and analysis of preclinical drug combination studies. We then focus on the design and analysis of two new anti-cancer drug development experiments. We will highlight the contributions of the novel statistical methodology brought to the therapeutic development of the two drug combination therapies. In fact, the highly effective therapies might have been missed without the facilitation of the optimal experimental design.

This talk presents a sampled-data approach for the robust control of a single qubit (quantum bit). The required robustness is defined using a sliding mode domain and the control law is designed offline and then utilized online with a single qubit having bounded uncertainties. Two classes of uncertainties are considered including uncertainties in the system Hamiltonian and uncertainties in the coupling strength of the system-environment interaction. Four cases including the case without decoherence, and cases with amplitude damping decoherence, phase damping decoherence and depolarizing decoherence are analyzed in detail. Sampling periods are specifically designed for these cases to guarantee the required robustness.

A class of generalized additive partial linear models is investigated. We propose the use of polynomial spline smoothing for estimation of nonparametric functions, and derive quasi-likelihood based estimators for the linear parameters. We establish asymptotic normality for the estimators of the parametric components. The procedure avoids solving big system of equations as in kernel-based procedures and thus results in gains in computational simplicity. We further develop a class of variable selection procedures for the linear parameters by employing a nonconcave penalized likelihood, which is shown to have an oracle property. Monte Carlo simulations and an analysis of a dataset from Pima Indian diabetes study are presented for illustration

We discuss the problem of existence of plurisubharmonic defining functions for pseudoconvex domains in complex manifolds. For a given domain we also analyze the structure of the set where all such functions fail to be strictly plurisubharmonic.

报告人：楼元教授(Ohio State University, USA）题目： Nash equilibrium for evolution of dispersal时间：2013年6月21日(星期五)下午4：00—5：00地点：数学系致远楼10

报告人：王明新教授(哈工大)题目：捕食和竞争模型的自由边界问题时间：2013年6月20日(星期四)下午4：00—5：00地点：数学系致远楼10

报告人:张同华博士(Swinburne University of Technology)题目： Dynamics of delay coupled Van der Pol-Duffing oscillators时间：2013年6月18日(星期二)上午10：00—11：00地点：数学系宁静楼10