Thermal Science 2022 Volume 26, Issue 4 Part A, Pages: 3089-3095
https://doi.org/10.2298/TSCI2204089U
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Cited by
Air temperature measurement based on lie group SO(3)
Ucan Yasemen (Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey), ucan@yildiz.edu.tr
Bildirici Melike (Department of Economics, Yildiz Technical University, Istanbul, Turkey)
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.
Keywords: Lie groups, Lie algebras, air temperature, stochastic equation
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