Fresen, Daniel J.2023-09-122023-09-122023Daniel J. Fresen (2023) Variations and extensions of the Gaussian concentration inequality, Part I, Quaestiones Mathematicae, 46:7, 1367-1384, DOI: 10.2989/16073606.2022.2074908.1607-3606 (print)1727-933X (online)10.2989/16073606.2022.2074908http://hdl.handle.net/2263/92274The classical Gaussian concentration inequality for Lipschitz functions is adapted to a setting where the classical assumptions (i.e. Lipschitz and Gaussian) are not met. The theory is more direct than much of the existing theory designed to handle related generalizations. An application is presented to linear combinations of heavy tailed random variables.en© 2022 NISC (Pty) Ltd. This is an electronic version of an article published in Quaestiones Mathematicae, vol. 46, no. 7, pp. 1367-1384, 2022. doi : 10.2989/16073606.2022.2074908. Quaestiones Mathematicae is available online at: https://www.tandfonline.com/loi/tqma20.Gaussian concentration inequalityHeavy tailed random variablesPostprint Article