US-UK Cooperative Research: Asymptotics, Orthogonal Polynomials and Toda Lattice

这个为期两年的奖项支持南佛罗里达大学的Mourad Ismail、帝国理工学院的Yang Chen、威尔士大学的William Evans和Brian Brown在古典分析方面的美英合作研究。这位美国调查人员将与布朗和埃文斯一起研究Askey-Wilson算子的光谱理论。他们将研究戴森库仑流体近似的应用，以发展正交多项式和递推系数的极值零点的渐近性。他将与杨晨一起研究q正交多项式在无序电子系统量子输运中的应用。美国研究者为这次合作带来了正交多项式和特殊函数方面的专业知识。此外，陈博士在数学物理和量子输运方面的专业知识，以及Brown和Evans在计算理论和微分算子谱理论方面的专业知识，也为其提供了补充。

9713354 Ismail This two-year award supports US-UK cooperative research in classical analysis among Mourad Ismail of the University of South Florida, Yang Chen of Imperial College of Science, Technology and Medicine, William Evans and Brian Brown of the University of Wales. The US investigator will work with Brown and Evans on the spectral theory of the Askey-Wilson operators. They will study applications of the Dyson Coulomb fluid approximation to develop asymptotics of extreme zeroes of orthogonal polynomials and recursion coefficients. He will work on the application of q-orthogonal polynomials in quantum transport in disordered electronic systems with Yang Chen. The US investigator brings to this collaboration expertise in orthogonal polynomials and special functions. This is complemented by Dr. Chen's expertise in mathematical physics and quantum transport and Brown and Evans' expertise in theory of computation and spectral theory of differential operators.