Matt Roberts

University of Bath University of Bath


Exceptional times of transience for a dynamical random walk


Probability Seminar


10th March 2023, 3:30 pm – 4:30 pm
Fry Building, 2.04


We define a dynamical simple symmetric random walk in one dimension, and show that there almost surely exist exceptional times at which the walk tends to infinity. In fact the set of such times has Hausdorff dimension 1/2 almost surely. This is in contrast to the usual dynamical simple symmetric random walk in one dimension, for which such exceptional times are known not to exist. This is joint work with Martin Prigent.






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