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Percolation of random interlacements under small intensities
If you have a question about this talk, please contact Julia Blackwell.
The model of random interlacements was recently introduced by Alain-Sol Sznitman as a natural tool to understand the trace left by a random walk in a discrete cylinder or in a discrete torus. In these contexts, this model describes the microscopic “texture in the bulk” left by the random walk when it is let run up to certain time scales. In this talk we are going to discuss some percolative properties of the vacant set of random interlacements under small intensities (e.g. the size of a finite vacant cluster). The results which will be presented could shed some light on problems such as how a random walk trajectory disconnects a discrete cylinder into two infinite connected components.
This talk is part of the Probability series.
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Other listsLees Knowles Lectures Millennium Mathematics Project (http://mmp.maths.org) Faculty of Education Research Students' Association (FERSA) Lunchtime Seminars / Guest Lectures 2013-2014
Other talksCrick Lecture 2014: How Aneuploidy Drives Cancer Inferno XXII, Purgatorio XXII, Paradiso XXII Inferno XXIV, Purgatorio XXIV, Paradiso XXIV Inferno XX, Purgatorio XX, Paradiso XX A universal characterisation of locally determined omega-colimits The Development of Galaxies