From the 1 of 4 linked papers with an AI index.
4 papers
A Loewner-Theoretic Approach to the Nonlinear Generalized Langevin Equation: The Role of Entropy in Colored Noise Environment
Yusuke K. Shibasaki
The paper derives a one‑dimensional nonlinear generalized Langevin equation using conformal maps from the chordal Loewner equation and a modified Mori‑Zwanzig approach, and studies…
Bio-inspired learning algorithm for time series using Loewner equation
Yusuke Kosaka Shibasaki
Though the relationship between the theoretical statistical physics and machine learning techniques has been a well-discussed topic, the studies on the mechanism of learning inspir…
Description of KPZ interface growth by stochastic Loewner evolution
Yusuke Kosaka Shibasaki
In this study, we investigate the relationship between the one-dimensional (1D) Kardar-Parisi-Zhang (KPZ) equation and the stochastic Loewner equation (SLE), which is a one paramet…
On the role of Loewner entropy in statistical mechanics of 2D Ising system
Yusuke Shibasaki
The fundamental properties of 2-dimensional (2D) Ising system were formulated using the Loewner theory. We focus on the role of the complexity measure of the 2D geometry, referred…