A Pedestrian View on Random Walk

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2018 by IJETT Journal
Volume-59 Number-1
Year of Publication : 2018
Authors : Bornali Purkayastha
DOI :  10.14445/22315381/IJETT-V59P207


Bornali Purkayastha"A Pedestrian View on Random Walk", International Journal of Engineering Trends and Technology (IJETT), V59(1),42-44 May 2018. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

In this paper the essential features of a random walk are described. Random walk is correlated to other physically observed motions. Methods to simulate the random walk is briefly discussed.

[1] K.Pearson,Theproblemoftherandomwalk,Nature72, 294,1905.
[2] D. Aldous, J.A. Fill, Reversible Markov chains and random walks on graphs, unfinished monograph, recompiled 2014, 2002, available at http: //www.stat.berkeley.edu/~aldous/RWG/book.html.
[3] R. Kutner ,J. Masoliver, ”The continuous time random walk, still trendy:Fifty-year history,state of art, and outlook, Eur.Phys.J.B90,50, 2017.
[4] De Gennes, P. G., Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, New York) 1979.
[5] Kremer, K. and Binder, K., “Monte Carlo simulation of lattice models for macromolecules” Comput. Phys. Rep.7, 261, 1988.
[6] Niederreiter, H., Random Number Generation and Quasi-Monte Carlo Methods (SIAM, Philadelphia) 1992.
[7] Lyklema, J.W., “The growing self-avoiding trail” J. Phys. A18, L617, 1985.
[8] Lyklema, J.W. and Kremer, K., “Monte Carlo series analysis of irreversible self-avoiding walks II. The growing self-avoiding walk” J. Phys. A19, 279, 1986.

Random walk, Brownian motion