relation: http://eprints.imtlucca.it/1163/
title: Discretized diffusion processes
creator: Ciliberti, Stefano
creator: Caldarelli, Guido
creator: De Los Rios, Paolo
creator: Pietronero, Luciano
creator: Zhang, Yi-Cheng
subject: QC Physics
description: 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.
publisher: American Physical Society
date: 2000-10
type: Article
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/1163/1/PRL_Caldarelli_2000.pdf
identifier:   Ciliberti, Stefano and Caldarelli, Guido and De Los Rios, Paolo and Pietronero, Luciano and Zhang, Yi-Cheng  Discretized diffusion processes.  Physical Review Letters, 85 (23).  pp. 4848-4851.  ISSN 0031-9007      (2000)  
relation: http://dx.doi.org/10.1103/PhysRevLett.85.4848
relation: 10.1103/PhysRevLett.85.4848