Random walks on looptrees

Lead Research Organisation: University of Warwick
Department Name: Mathematics


Eleanor's work is focussed on alpha-stable looptrees, recently introduced by Curien and Kortchemski. In particular, she is exploring related sequences of random walks on discrete looptrees via a study of the resistance metric on the latter objects, and properties of the limiting diffusions. This work will lead towards understanding random walks on more complex graphs arising in critical percolation, which is a natural model for studying the dynamical properties of disordered media.


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Archer Eleanor (2019) Brownian motion on stable looptrees in arXiv e-prints

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E Archer (2020) Infinite stable looptrees in Electronic Journal of Probability

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509796/1 01/10/2016 30/09/2021
1945297 Studentship EP/N509796/1 02/10/2017 30/06/2020 Eleanor Archer
Description We have established random walk "exponents", i.e. numbers which quantitatively measure the speed of a random walk, for random walks on looptrees.
Exploitation Route I am now working on similar questions for "generalised looptrees" which are applicable to a range of physics models on random surfaces.
Sectors Other