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Michigan State University

Michigan State University

Title: Summer Experimental Mathematics: Phase Transition in Random Walks

Director:

  • Aklilu Zeleke

Email:

Dates of Program: May 16 - June 25, 2011

Summary:
It is well known that the mean root square displacement of random walks defined on the integer lattice Zd follows the power law Cn1/2 in all dimensions. Moreover such random walks are recurrent in one and two dimensions and transient in dimensions 3 or higher. In this project we investigate the behavior of long jump random walks, biased random walks and random walks defined on fractals such as the Sierpinski gasket. The mean root square displacement and the recurrent/transient behavior of such walks will be determined. Analytical and simulation results will be presented.

Student Researchers Supported by MAA:

  • Archie Brown III
  • Marcel Cochran
  • Andre Jones
  • Casey Nicholson

Program Contacts:

Bill Hawkins
MAA SUMMA
bhawkins@maa.org
202-319-8473

Michael Pearson
MAA Programs & Services
pearson@maa.org
202-319-8470

Dummy View - NOT TO BE DELETED