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A deterministic walk on the randomly oriented Manhattan lattice
Andrea Collevecchio, Kais Hamza, Laurent Tournier
Consider a randomly-oriented two dimensional Manhattan lattice where each horizontal line and each vertical line is assigned, once and for all, a random direction by flipping indep…
The ballistic annihilation threshold is 1/4
Vladas Sidoravicius, Laurent Tournier
We consider a system of annihilating particles where particles start from the points of a Poisson process on the line, move at constant i.i.d. speeds symmetrically distributed in {…
Uniqueness of the infinite noodle
Nicolas Curien, Gady Kozma, Vladas Sidoravicius +1
Consider the graph obtained by superposition of an independent pair of uniform infinite non-crossing perfect matchings of the set of integers. We prove that this graph contains at…