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

美英合作研究：渐近学、正交多项式和户田格

• 批准号: 9713354
• 负责人: Mourad Ismail
• 金额: $ 1.44万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-02-01 至 2002-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9713354&HistoricalAwards=false
• 关键词: US; UK; Cooperative; Research; Asymptotics

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.

小行星9713354 这个为期两年的奖项支持美英在经典分析方面的合作研究，合作者包括南佛罗里达大学的Mourad Ismail、帝国理工学院的Yang Chen、威尔士大学的William Evans和Brian Brown。 美国研究人员将与布朗和埃文斯在阿斯基-威尔逊算子的谱理论。他们将研究戴森库仑流体近似的应用，以开发正交多项式和递归系数的极零点的渐进性。 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。 美国研究人员带来了正交多项式和特殊函数的专业知识。 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对此进行了补充。