Abstract
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 group
Stochastic differential equation
Differential (mechanical device)
Lie algebra
Mathematics
Space (punctuation)
State space
Air temperature
Pure mathematics
Mathematical analysis
Applied mathematics
Computer science
Physics
Statistics
Thermodynamics
Subject Areas
Time Series Analysis and Forecasting
·Signal Processing ·Physical Sciences
Meteorological Phenomena and Simulations
·Atmospheric Science ·Physical Sciences
Climate variability and models
·Global and Planetary Change ·Physical Sciences
Citations by Year
2022: 1
2023: 3
2024: 2
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