The term characteristic exponent has several distinct mathematical meanings. For a stable distribution, it denotes the index
of stability, which determines the scaling of sums and the behavior
of the tails (Nolan 2020).
National Institute of Standards and Technology. "Floquet's Theorem and the Characteristic Exponents." §28.2(iii) in NIST Digital
Library of Mathematical Functions.https://dlmf.nist.gov/28.2.iii.Nolan,
J. P. Univariate Stable Distributions: Models for Heavy Tailed Data.
Cham, Switzerland: Springer, 2020. https://doi.org/10.1007/978-3-030-52915-4.
, which determines the scaling of sums and the behavior
of the tails (Nolan 2020).
for a field of field
characteristic 
.
