TY - JOUR
TI - Air temperature measurement based on lie group SO(3)
AU - Ucan Yasemen
AU - Bildirici Melike
JN - Thermal Science
PY - 2022
VL - 26
IS - 4
SP - 3089
EP - 3095
PT - Article
AB - This study aims to analyze the behaviors of air temperature during the period  from 1895(5) to 2021(12) using Lie algebras method. We proposed an  alternative method to model air temperature, in which the non-linear  structure of temperature is evolved by a stochastic differential equation  captured on a curved state space. After expressing stochastic differential  equations based on Lie algebras and Lie groups, we tested the non-linear and  random behavior of air temperature. This method allow a rich geometric  structure. Moreover diffusion processes can easily be built without needing  the machinery of stochastic calculus on manifolds.