colored noise 1entropy 1fluctuation-dissipation relation 1generalized langevin equation 1loewner equation 1memory kernel 1
From the 1 of 3 linked papers with an AI index.
3 papers
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2026
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…