Seminar Details

In the Eulerian walker model, also called rotor walk, every site of the square lattice starts with an arrow pointing at one of its four neighbors. A walker repeatedly turns the arrow at its current site clockwise and steps in the new direction. Priezzhev, Dhar, Dhar, and Krishnamurthy introduced this walk as a model of self-organized criticality and conjectured that, for independent uniform initial arrows, the region explored in the first steps has radius of order t^(2/3). I will explain the recent proof of this conjecture.