06/27 2023 Seminar
- Title题目 Krylov complexity and orthogonal polynomials
- Speaker报告人 杨毅 （台湾阳明交通大学)
- Date日期 2023年6月27日 10:30am-11:59am
- Venue地点 北楼322
Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method. The mathematics of Krylov complexity can be described in terms of orthogonal polynomials. We provide a pedagogical introduction to the subject and work out analytically a number of examples involving the classical orthogonal polynomials, polynomials of the Hahn class, and the Tricomi-Carlitz polynomials.
Dr. Yi Yang is currently a professor of Physics in the Department of Electrophysics at NYCU. He received his B.S. in Physics from USTC in 1995, M.S. in Physics from the University of British Columbia in 1998, and Ph.D. in Physics fromSimon Fraser University in 2003. After that, he became a postdoctoral researcher at NYCU from 2003 to 2006 and an assistant research scholar at NCTS from 2006 to 2008, before he joined NYCU in 2008. His current research efforts focus on the studies of gravitational wave physics, black hole physics, and string theory.