TY  - JOUR
SP  - 4848
AV  - public
EP  - 4851
A1  - Ciliberti, Stefano
A1  - Caldarelli, Guido
A1  - De Los Rios, Paolo
A1  - Pietronero, Luciano
A1  - Zhang, Yi-Cheng
N2  - We study the properties of the ?rigid Laplacian? operator; that is we consider solutions of the Laplacian equation in the presence of fixed truncation errors. The dynamics of convergence to the correct analytical solution displays the presence of a metastable set of numerical solutions, whose presence can be related to granularity. We provide some scaling analysis in order to determine the value of the exponents characterizing the process. We believe that this prototype model is also suitable to provide an explanation of the widespread presence of power law in a social and economic system where information and decision diffuse, with errors and delay from agent to agent.
N1  - © 2000 American Physical Society
IS  - 23
VL  - 85
TI  - Discretized diffusion processes
SN  - 0031-9007
PB  - American Physical Society
UR  - http://dx.doi.org/10.1103/PhysRevLett.85.4848
KW  - PACS: 05.40.-a
KW  -  64.60.Ak
KW  -  64.60.Fr
KW  -  87.10.+e

ID  - eprints1163
JF  - Physical Review Letters
Y1  - 2000/10//
ER  -