This articles presents and application of statistical physics to economic relationships, based on the fluctuation-dissipation theorem and the anomalous fluctuation therorem, and the Langevin equation. In the framework of time series which follow the Langevin equation, the interaction of two time...

The Einstein relation which is known as the Fluctuation-Dissipation (FD) theorem in physics is applied to financial time series data in this paper. The fundamental equation for the time series is the generalized Langevin equation with colored noise. The autocorrelation function and the...

: The Einstein relation which is known as the Fluctuation-Dissipation (FD) theorem in physics is applied to financial time series data in this paper. The fundamental equation for the time series is the generalized Langevin equation with colored noise. The autocorrelation function and the...

: This paper analyzes the daily time series of Japanese yen exchange rate against the US dollar by a model of stochastic differential equation whose coefficient oscillates cyclically. The expectation value and the variance of the series are derived by solving the equation. It is shown that their...