Diffusion and aggregation process in biological physics: prionic diseases and rand...
Random walks with strongly correlated memory and applications to biology
| Full text | |
| Author(s): |
Ferreira, A. S.
;
Cressoni, J. C.
;
Viswanathan, G. M.
;
Alves da Silva, Marco Antonio
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 81, n. 1, p. 7-pg., 2010-01-01. |
| 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. (AU) | |
| FAPESP's process: | 07/04220-4 - Diffusion and aggregation process in biological physics: prionic diseases and random walks with memory |
| Grantee: | Marco Antonio Alves da Silva |
| Support Opportunities: | Regular Research Grants |