Abstract We study the empirical measure LAn of the eigenvalues of non-normal square matrices of the form An = UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure of the eigenvalues of Tn converges, and Tn satisfies some technical conditions, LAn converges towards a rotationally invariant measure μ on the complex plane...

Founding harmonic analysis on classical simple complex groups, I.M. Gelfand and M.A. Naimark in their classical book [GN] posed three basic questions: unitary duals, characters of irreducible unitary representations and Plancherel measures. In the case of reductive p-adic groups, the only series of reductive groups where unitary duals are known are general linear groups. In this paper we reduce...

To date, research for Chinese and Japanese character recognition is still preliminary1. Because the number of Kanji, i.e. Chinese characters, is over fifty thousand, it is hard to rely on any general-purpose global model to recognize all Chinese characters. Alternatively, a promising approach is to separate the Chinese characters into several groups. For each group, a local model is developed t...

[Insert Running title of <72 characters] Status and influencing factors of health behavioral knowledge among the elderly in China Zhiqin Yin, Guiling Geng, Xuefen Lan, Liming Zhang, Surong Wang ,Yuantong Zang ,Meidi Peng Department of Nursing, School of Nursing, Wenzhou Medical College, Wenzhou 325035, China. Department of Nursing, School of Nursing, Nantong University, Nantong 226019, China. W...

Preface 1 Preliminaries: Galois theory, algebraic number theory 2 Lecture 1. CFT of Q: classical (Mo. 19/7/10, 9:40–10:40) 4 Lecture 2. CFT of Q: via adeles (Mo. 19/7/10, 11:00–12:00) 6 Lecture 3. Local CFT, local-global compatibility (Tu. 20/7/10, 9:40–10:40) 8 Lecture 4. Global CFT, l-adic characters (Tu. 20/7/10, 11:00–12:00) 10 Appendix A. More on GLC for GL1: algebraic Hecke characters 12 ...

ferdowsi, has beautifully described the important characters of shahnameh. with the help of psychological analysis, one can reach the hidden layers of their personality. this shows ferdowsi’s intelligence and his awareness in characterization. one of the negative and unaccepted characters of shahnameh is called shaghaad, who is rostam’s stepbrother. in his exact description of this character, f...

The article is devoted to the snake-like mythological characters, found in mythology of Chinese Shandong province comparison with South Slavic word on example Serbian tradition. presents an analysis names characters through two languages basis ethnic images etiological legends, local rituals and folk customs tradition are also considered. This study shows how perception reality reflected cultur...

Future developments in AI and robotics, brain interfaces, the Internet and virtual and augmented reality, will make possible new types of integration of humans and machines which will change how we think, learn and live. This paper uses a story about a future scenario involving systems of this kind to respond to crises and disasters to explore the possibilities of collective intelligence and co...