Résumé :
Random walks are a classically studied object with applications across the natural sciences. The convex hull of a random walk is one possible approximation to the shape of the space covered by the path and itself has applications, for example in approximating the home range of wild animals, and by considering functionals of such a hull we can further improve our understanding and intuition of the random walk itself. In this talk I will present a couple of methods which are useful for analysing such functionals, describe the walks to which each method applies and state some of the ensuing results. These results are due to joint work with Andrew Wade and Ostap Hryniv (Durham University, UK).
