广州数学大讲坛第七期
第六十三讲——哈尔滨工业大学尹智研究员学术报告
题目:The spectrum of local random Hamiltonians
时间:2022年9月29日(周四)上午9:00-12:30
地点:腾讯会议(会议ID:353 967 895)
报告人:尹智研究员
摘要: The spectrum of a local random Hamiltonian can be represented generically by the so-called ε-free convolution of its local terms’ probability distributions. For the purpose of studying its spectrum, we establish an isomorphism between the set of ε-noncrossing partitions and permutations. Moreover, we derive some lower and upper bounds for the maximal eigenvalue of the Hamiltonian.
This talk is based on joint works with Benoit Collins (Kyoto), Liang Zhao (Harbin), and Ping Zhong (Wyoming).
报告人简介:
尹智,现任哈尔滨工业大学数学研究院特任研究员。主要研究方向为非交换分析及其应用,相关研究成果发表在Memoirs. AMS,CMP, PRL, PRA等数学与物理期刊上。