title: Anomalous diffusion in non-Markovian walks having amnestically induced persistence.
abstract: We report numerically and analytically estimated values for the Hurst exponent for a recently proposed non-Markovian walk characterized by amnestically induced persistence. These results are consistent with earlier studies showing that log-periodic oscillations arise only for large memory losses of the recent past. We also report numerical estimates of the Hurst exponent for non-Markovian walks with diluted memory. Finally, we study walks with a fractal memory of the past for a Thue-Morse and Fibonacci memory patterns. These results are interpreted and discussed in the context of the necessary and sufficient conditions for the central limit theorem to hold.
authors.affiliation: Instituto de Física, Universidade Federal de Alagoas, Maceió 57072-970, AL, Brazil.
authors.forename: A S
authors.initials: AS
authors.lastname: Ferreira
authors.forename: J C
authors.initials: JC
authors.lastname: Cressoni
authors.forename: G M
authors.initials: GM
authors.lastname: Viswanathan
authors.forename: Marco Antonio
authors.initials: MA
authors.lastname: Alves da Silva