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This database contains BSc, MSci and MSc projects offered by different supervisors. It can be searched/filtered in various ways to help find the best options for you.

The basic default search is based on titles; simply enter a word or topic which interests you in the "Search" box and click "Save Settings" to view the results.
Checking the "Advanced Search" box displays further search fields. In particular, to find projects appropriate to your programme, type "BSc", "MSci", or "MSc" in the "Level:" field. Again, the results will appear upon clicking "Save Settings".
You can change the sorting of the displayed list by clicking on the drop-down menus corresponding to the category and the order. By default, the sorting is by project title, in ascending order. Click "Save Settings" again to change the sorting.
Click on the title of a project to find details of prerequisites and reading material as well as a brief description. [You may need to look up some unfamiliar terms to get more of a sense of what is involved.] Note that if the project has "No" in the "Current Availability:" field, it is already taken or not being offered this academic year but may be available again in future years.
Each supervisor name links to a contact details webpage so you can arrange to discuss any projects you are interested in or even propose a related topic of your own.

Level:	BSc, MSci
Title:	Spitzer's identity
Supervisor:	Dr Rosemary Harris
Research Area:	Dynamical Systems and Statistical Physics
Description:	Spitzer's identity is a classical result which connects the probability distribution of the maxima of a random walk with the probability distribution of the walk itself. The project is to understand the result and present one or more proofs of it (at least for the case of right-continuous walks as treated, for example, in Grimmett and Stirzaker [1]). The student could also give an exposition of some generalizations/consequences of Spitzer's identity and/or test it numerically. G. Grimmett and D. Stirzaker, Probability and Random Processes. Oxford Univ. Press, 2001.
Further Reading:	F. Spitzer, A combinatorial lemma and its application to probability theory, Trans. Amer. Math. Soc. 82 (1956), 323–339.
Key Modules:	MTH6141 Random Processes MTH6934/MTH734U/MTHM012/MTH712P Topics in Probability and Stochastic Processes
Other Information:
Current Availability:	Yes