【摘 要】
：
In this talk I report new results on the correlation kernels for the distribution of eigenvalues of (1) H+M, where H is a GUE random matrix, (2) (GM)*(GM),
【出 处】
：
2015 Peking University Youth Probability Forum(2015年北京大学青年概率
论文部分内容阅读
In this talk I report new results on the correlation kernels for the distribution of eigenvalues of (1) H+M, where H is a GUE random matrix, (2) (GM)*(GM), where G is a Ginibre random matrix, and (3) (TM)*(TM), where T is a truncated random unitary matrix. We only assume that M is a random matrix whose eigenvalues are in a polynomial ensemble, and our results are expressed in double contour integral formulas, versatile in asymptotic analysis.
其他文献
In this talk we discuss the $epsilon$-regularity theorems for Einstein manifolds and more generally manifolds with just bounded Ricci curvature,in the coll
The study of stochastic processes in inhomogeneous environments and random environments is developing prosperously in probability field. In this talk I firs
We consider the following overdetermined problem Δu = f(u),u > 0 in Ω u = 0 on (e)Ω (e)vu = C on (e)Ω Serrin proved(1971)that if the domain is bounded t
Many conventional approaches on partial differential operators do not work on the nonlocal fractional operator.To overcome this difficulty arising from nonl
In the context of non-equilibrium statistical physics, the entropy production rate is an important concept to describe how far a specific state of a system
Modeling inter-dependence among multiple risks often faces statistical as well as modeling challenges, with considerable uncertainty arising naturally. In t
In this talk, based on the history of the research on stochastic heat equations and combined with my research interests, I will mention some fundamental the
Based on two-sided heat kernel estimates for a class of symmetric jump processes on metric measure spaces, the laws of the iterated logarithm (LIL) for samp
Under general conditions we show an extit{a priori} probabilistic Harnack inequality for the non-negative solution of a stochastic partial differential equ
We discuss the notion of disorder relevance vs irrelevance, and our recent results on the scaling limit of disorder relevant systems, which include the pinn