title: Nonextensive foundation of Lévy distributions.
abstract: A deep connection between the ubiquity of Lévy distributions in nature and the nonextensive thermal statistics introduced a decade ago has been established recently [Tsallis et al., Phys. Rev. Lett. 75, 3589 (1995)], by using unnormalized q-expectation values. It has just been argued on physical grounds that normalized q-expectation values should be used instead. We revisit, within this more appropriate scheme, the Lévy problem and verify that the relevant analytic results become sensibly simplified, whereas the basic physics remains unchanged.
authors.affiliation: Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria, 5000 Cordoba, Argentina. prato@mail.famaf.unc.edu.ar
authors.forename: D
authors.initials: D
authors.lastname: Prato
authors.forename: C
authors.initials: C
authors.lastname: Tsallis