Title
"Emergence of random-matrix statistics as universal properties of growing interfaces"
Kazumasa A. Takeuchi (The University of Tokyo)
Abstract
According to recent analytical developments, a few models of growing interfaces exhibit the same particular distribution and correlation functions, which are given, exactly and surprisingly, by those defined by Gaussian random matrices. These are believed to be universal properties of the 1d Kardar-Parisi-Zhang class, as evidenced by a series of experiments on growing interfaces in electrically-driven turbulent liquid crystals. In this poster, I summarize these experimental results underpinning the random-matrix statistics in this problematic, as well as open problems raised by the experiments. Thanks to universality, this experiment can also suggest statistical properties of random matrices and related stochastic processes in turn.
