Prediction of the mean path of random walkers

Authors

  • Horacio A. Caruso Universidad Nacional de La Plata - La Plata, Argentina
  • Sebastían M. Marotta Facultad de Ingeniería, Universidad Nacional de La Plata - La Plata, Argentina

Keywords:

caminhadas aleatórias, simulação de funções contínuas com passos discretos, Método da Expectativa, expectativa de variáveis aleatórias

Abstract

A random walker is allowed to walk on a surface along two orthogonal directions; the possibility to select either of them is a specific function of the number of steps he has performed. Once he has chosen one of the two axis he is also given a possibility to choose a forward or a backward step; this possibility may also be a specific function of the number of steps. In spite of the wide variety of possibilities that may be assigned we herein describe a theoretical method through which the mean path of a large number of walkers may be found. Several numerical examples for random walkers verify the theoretical results for their mean path.

 

Author Biographies

Horacio A. Caruso, Universidad Nacional de La Plata - La Plata, Argentina

Departamento de Hidráulica - Facultad de Ingeniería, Universidad Nacional de La Plata - La Plata, Argentina

Sebastían M. Marotta, Facultad de Ingeniería, Universidad Nacional de La Plata - La Plata, Argentina

Departamento de Fisicomatemática - Facultad de Ingeniería, Universidad Nacional de La Plata - La Plata, Argentina

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Published

14-12-2009

Issue

Vol. 4 No. 2 (2002)

Section

Artigos

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