Abstract
We show how probabilistic reasoning leads to ODE that describe radioactive decay, absorption of light, mutarotation of glucose, and similar memoryless processes. All ODE are linear with constant coefficients which further vindicates our decision to prioritize them.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S.P. Huestis, Understanding the origin and meaning of the radioactive decay equation. J. Geosci. Educ. 50(5), 524–527 (2002)
J.C. Kendrew, E.A. Moelwyn-Hughes, The Kinetics of Mutarotation in Solution. Proc. R. Soc. Lond. Ser. A 176(966), 352–367 (1940)
T. Mayerhöfer, S. Pahlow, J. Popp, The Bouguer-Beer-Lambert law: shining light on the obscure. ChemPhysChem 21, 07 (2020)
D.A. McQuarrie, Stochastic approach to chemical kinetics. J. Appl. Probab. 4(3), 413–478 (1967)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2025 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Beltukov, A. (2025). Memoryless Processes. In: Differential Equations and Data Analysis. Synthesis Lectures on Mathematics & Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-62257-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-031-62257-1_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-62256-4
Online ISBN: 978-3-031-62257-1
eBook Packages: Synthesis Collection of Technology (R0)