Level: BSc, MSci, MSc
Title: Random walkers with memory
Supervisor:

Dr Rosemary Harris
Research Area: Dynamical Systems and Statistical Physics
Description:

The project is to consider some examples of random walkers with steps correlated in time, starting with simple textbook examples (e.g., the persistent random walk) and extending to more complicated memory dependence such as coupled walkers or the "elephant" and "Alzheimer" random walks considered in recent literature.
Further Reading:
  • G.H. Weiss, Aspects and Applications of the Random Walk. North-Holland, 1994.
  • J.A. Rudnick, Elements of the Random Walk: An Introduction for Advanced Students and Researchers. Cambridge Univ. Press, 2004.
  • G.M. Schütz and S. Trimper, Elephants can always remember: Exact long-range memory effects in a non-Markovian random walk, Physical Review E 70 045101 (2005).
  • J.C. Cressoni, M.A.A. da Silva, and G.M. Viswanathan, Amnestically induced persistence in random walks, Physical Review Letters 98 070603 (2007).
Key Modules:

MTH6141 Random Processes

MTH6934/MTH734U/MTHM012/MTH712P Topics in Probability and Stochastic Processes
Other Information:
Current Availability: Yes