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We consider the Cauchy problem for the defocusing cubic NLS on R3T1 and establish almost sure scattering for random initial data. The main obstacle to extend the classical almost sure scattering resul...
TLS and SSH are two of the most commonly used protocols for securing Internet traffic. Many of the implementations of these protocols rely on the cryptographic primitives provided in the OpenSSL libra...
Phosphine is one of the newest materials to be named a superconductor, a material through which electricity can flow with zero resistance.In 2015, scientists reported that they had liquefied the chemi...
We study a marginal empirical likelihood approach in scenarios when the num-ber of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the para...
We study a marginal empirical likelihood approach in scenarios when the num-ber of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the para...
We give an explicit AE-axiomatization of the almost sure theories of sparse random graphs G(n, n−α) of Shelah-Spencer. In the process we give a method of constructing extensions of graphs whos...
Identifying the veracity, or factuality, of event mentions in text is fundamental for reasoning about eventualities in discourse. Inferences derived from events judged as not having happened, or as ...
Personal mythology perceived through adolescent desire, and quotidian events inform my work. Through a variety of media, I explore themes of mark making, identity and environment. By dissecting and re...
Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlatio...
Fine regularity of stochastic processes is usually measured in a local way by local H\"older exponents and in a global way by fractal dimensions. Following a previous work of Adler, we connect these t...
We study stochastic differential equations (SDEs) whose drift and diffusion coefficients are path-dependent and controlled. We construct a value process on the canonical path space, considered simul...
It is shown the almost sure convergence and asymptotical normality of a generalization of Kesten's stochastic approximation algorithm for multidimensional case. In this generalization, the step incr...
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...
核磁共振产生的回波信号幅度比较低,容易受到噪声干扰.如何有效提高低场核磁共振回波信号的信噪比一直是核磁共振技术研究的关键课题之一.本文讨论了一种基于小波变换的Stein无偏风险估计(SURE)算法,从相关系数图版中确定尺度因子和分解层次,依据噪声在不同分解层次上的差异取不同的阈值对回波信号去噪.该算法与传统的模极大值法和空域相关法相比,能获得更高的信噪比,为储层流体分析提供更准确的孔隙度信息.

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