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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Since the pioneering work of E. Wigner published in 1955 Random Matrix Theory (RMT) became one of the most popular mathematical disciplines. Within the space of 60 years RMT has found its numerous applications in different areas of pure and applied mathematics, physics, biology and financial theory. In my short course I will be mostly interested in Wigner’s semicircle law in macroscopic and microscopic regimes and universality of local eigenvalues statistics. I will give an overview of some classical results and discuss recent developments appeared in the last 10 years. My talk will be partially based on joint results with F. Götze and A. Tikhomirov.