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Level: MSci, MSc
Title: Random walks in random environment
Supervisor:

Prof. Ilya Goldshied
Research Area: Probability and Applications [Including Statistics]
Description:

Unlike in the classical case of homogeneous environment, random walks in random environment exhibit unusual features. Read several papers concerned with the subject and explain them.
Further Reading:
  • Y. Sinai, Probability Theory – An Introductory Course. Springer, New York, 1992.
  • F. Solomon, Random walks in random environment, Annals of Probability 3 (1975) 1–31.
  • H. Kesten, M. Kozlov, F. Spitzer, Limit law for random walks in random environment, Compositio Mathematica 30 (1975) 145–168.
Key Modules:
Other Information:

Knowledge of Analysis, Random Processes and particularly Markov Chains is required.  Knowledge of Linear Algebra is desirable.
Current Availability: Yes